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Upcoming Meetings

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September 2023

Special year on p-adic arithmetic geometry

ag.algebraic-geometry nt.number-theory
2023-09-01 through 2024-04-30
Institute for Advanced Study
Princeton, NJ; USA

Meeting Type: conference

Contact: see conference website

Description

During the 2023-24 academic year the School will have a special program on the p -adic arithmetic geometry, organized by Jacob Lurie and Bhargav Bhatt, who will be the Distinguished Visiting Professor.

The last decade has witnessed some remarkable foundational advances in p-adic arithmetic geometry (e.g., the creation of perfectoid geometry and the ensuing reorganization of p-adic Hodge theory). These advances have already led to breakthroughs in multiple different areas of mathematics (e.g., significant progress in the Langlands program and the resolution of multiple long-standing conjectures in commutative algebra), have uncovered new phenomena that merit further investigation (e.g., the discovery of new structures on algebraic K-theory, new period spaces in p-adic analytic geometry, and new bounds on torsion in singular cohomology), and have made hitherto inaccessible terrains more habitable (e.g., birational geometry in mixed characteristic). This special year intends to bring together a mix of people interested in various facets of the subject, with an eye towards sharing ideas and questions across fields.

December 2023

Lectures on selected areas in Pure Mathematics

ag.algebraic-geometry nt.number-theory
2023-12-21 through 2024-12-31
Institute of Mathematics, VAST, Hanoi, Vietnam
Hanoi ; Vietnam

Meeting Type: lecture

Contact: Phung Ho Hai, Doan Trung Cuong

Description

The purpose of this lecture series is to introduce the audience to basic ideas of specific areas of contemporary pure mathematics. Each lecture shall present an area: where it comes from, where it currently is, where it goes. Lectures will be given by prominent mathematicians twice a year: in the Spring and in the Autumn. Before and after each lecture we will organize reading seminars to prepare the audience for the lecture and to dig further into the topic of the lecture. With the lecturer’s consent, lectures will be recorded, slides and/or lecture notes will be provided if available.

January 2024

Noncommutative Algebraic Geometry

ag.algebraic-geometry
2024-01-16 through 2024-05-24
MSRI/SLMath
Berkeley, CA; USA

Meeting Type: thematic research program

Contact: see conference website

Description

none

March 2024

Degree d points on algebraic surfaces

ag.algebraic-geometry nt.number-theory
2024-03-18 through 2024-03-22
American Institute of Mathematics
Pasadena, CA; USA

Meeting Type: conference

Contact: see conference website

Description

This workshop, sponsored by AIM and the NSF, will be devoted to the study of degree d points on algebraic surfaces over a number field.

The study of degree d points on algebraic curves over ℚ is a rich and mature area of research, with the Abel-Jacobi map and the Mordell-Lang conjecture providing powerful tools for exploration. However, for higher dimensional varieties there is no such approach that works in general. Because of this, we lack even a conjectural framework for understanding which higher dimensional varieties over ℚ should have "many" degree d points.

The workshop will focus on questions aimed at addressing this dearth, concentrating on the case of algebraic surfaces. For instance, what does it mean for a surface over ℚ to have "many" degree d points? What are some geometric constructions that give rise to abundant degree d points? Are these related to geometric measures of irrationality? If HilbdX has a Zariski dense set of ℚ-points for some small d, does that yield any arithmetic or geometric consequences for X? If X embeds into its Albanese, can we obtain results analogous to that of curves?

Participants will be researchers from a broad array of backgrounds (e.g., arithmetic of surfaces, geometry of Hilbert schemes of surfaces, geometric measures of irrationality, arithmetic of 0-cycles, to name a few), ideally with a curiosity and interest in arithmetic questions.

This event will be run as an AIM-style workshop. Participants will be invited to suggest open problems and questions before the workshop begins, and these will be posted on the workshop website. These include specific problems on which there is hope of making some progress during the workshop, as well as more ambitious problems which may influence the future activity of the field. Lectures at the workshop will be focused on familiarizing the participants with the background material leading up to specific problems, and the schedule will include discussion and parallel working sessions.

Arithmetic Quantum Field Theory Conference

at.algebraic-topology mp.mathematical-physics nt.number-theory rt.representation-theory
2024-03-25 through 2024-03-29
CMSA
Cambridge, MA; USA

Meeting Type: conference

Contact: David Ben-Zvi, Solomon Friedberg, Natalie Paquette, Brian Williams

Description

The object of the program is to develop and disseminate exciting new connections emerging between quantum field theory and algebraic number theory, and in particular between the fundamental invariants of each: partition functions and L-functions.

On one hand, there has been tremendous progress in the past decade in our understanding of the algebraic structures underlying quantum field theory as expressed in terms of the geometry and topology of low-dimensional manifolds, both on the level of states (via the Atiyah-Segal / Baez-Dolan / Lurie formalism of extended, functorial field theory) and on the level of observables (via the Beilinson–Drinfeld / Costello–Gwilliam formalism of factorization algebras). On the other hand, Weil’s Rosetta Stone and the Mazur–Morishita–Kapranov–Reznikov arithmetic topology (the “knots and primes” dictionary) provide a sturdy bridge between the topology of 2- and 3-manifolds and the arithmetic of number fields. Thus, one can now port over quantum field theoretic ideas to number theory, as first proposed by Minhyong Kim with his arithmetic counterpart of Chern-Simons theory. Most recently, the work of Ben-Zvi–Sakellaridis–Venkatesh applies an understanding of the Langlands program as an arithmetic avatar of electric-magnetic duality in four-dimensional gauge theory to reveal a hidden quantum mechanical nature of the theory of $L$-functions.

The program will bring together a wide range of mathematicians and physicists working on adjacent areas to explore the emerging notion of arithmetic quantum field theory as a tool to bring quantum physics to bear on questions of interest for the theory of automorphic forms, harmonic analysis and L-functions. Conversely, we will explore potential geometric and physical consequences of arithmetic ideas, for example, the Langlands correspondence theory of L-functions for 3-manifolds.

April 2024

Southern California Algebraic Geometry Seminar (SoCalAGS)

ag.algebraic-geometry
2024-04-06 through 2024-04-06
California Institute of Technology
Pasadena, CA; USA

Meeting Type: conference

Contact: see conference website

Description

none

Recent Developments in Noncommutative Algebraic Geometry

ag.algebraic-geometry
2024-04-08 through 2024-04-12
MSRI/SLMath
Berkeley, CA; USA

Meeting Type: conference

Contact: see conference website

Description

none

Graduate Student Topology and Geometry Conference 2024

at.algebraic-topology dg.differential-geometry gn.general-topology gt.geometric-topology mg.metric-geometry sg.symplectic-geometry
2024-04-12 through 2024-04-14
Michigan State University
East Lansing, Michigan ; USA

Meeting Type: conference

Contact: Ivan So

Description

This conference aims to bring together graduate students interested in geometry and topology, to give graduate students the opportunity to give talks, and to establish connections among students in the field.

Most of the talks will be given by graduate students, but there will also be three distinguished plenary lectures:

Julie Bergner (University of Virginia)

Ciprian Manolescu (Stanford University)

Gábor Székelyhidi (Northwestern University)

and six lectures by early-career faculty speakers:

Carolyn Abbott (Brandeis University) Anthony Conway (The University of Texas at Austin)

Iva Halacheva (Northeastern University)

Antoine Song (California Institute of Technology)

Iris Yoon (Wesleyan University)

Allen Yuan (Institute for Advanced Study/Northwestern University)

The conference website can be found here: https://sites.google.com/view/gstgc2024msu/home

Registration is now open. For those applying for funding or proposing a talk, the deadline of registration is January 15, 2024 (March 30, 2024 for those who are not). Please stay tuned for further updates and details regarding this exciting event!

Moduli Spaces and Modular Forms

ag.algebraic-geometry nt.number-theory
2024-04-14 through 2024-04-19
Schiermonnikoog; Netherlands

Meeting Type: conference

Contact: see conference website

Description

none

Women in Number Theory and Geometry (WINGs) 2024

ag.algebraic-geometry dg.differential-geometry nt.number-theory sg.symplectic-geometry
2024-04-15 through 2024-04-18
Shrewsbury; UK

Meeting Type: conference

Contact: Isabel Rendell

Description

WINGs 2024 is the fourth instalment of an annual retreat for women, and other underrepresented genders, in number theory and geometry. It is aimed at early career mathematicians, from PhD onwards. Events will include talks from our eight keynote speakers, a career panel which will also feature participants from industry, social activities, to encourage interaction between participants, and short talks, so that participants can learn about each other’s research interests. Our aim is to counteract the isolation which can be experienced by women and other underrepresented genders in mathematics during their career by fostering a sense of community from the start.

Arithmetic Geometry - A Conference in Honor of Hélène ESNAULT on the Occasion of Her 70th Birthday

ag.algebraic-geometry nt.number-theory
2024-04-22 through 2024-04-26
IHES
Bures-sur-Yvette; France

Meeting Type: conference

Contact: Elisabeth Jasserand

Description

This conference centers around the mathematical contributions and interests of Hélène Esnault. It aims at bringing together mathematicians with diverse backgrounds, providing a platform to exchange their ideas and foster new collaborations.

May 2024

CAAGTUS - Commutative Algebra and Algebraic Geometry in TUcSon

ac.commutative-algebra ag.algebraic-geometry
2024-05-04 through 2024-05-05
University of Arizona
Tucson, AZ; USA

Meeting Type: conference

Contact: Zhengning Hu, Debaditya Raychaudhury, Arvind Suresh

Description

CAAGTUS aims to improve contacts and foster collaborations among researchers in Commutative Algebra and Algebraic Geometry located in Arizona and its neighboring states. Its main purposes are to stimulate new directions of research, to provide opportunities to junior researchers to share their work, and to provide a venue for networking and collaboration in the southwest.

Please contact [email protected] if you have any questions.

Higher Algebra, Geometry, and Topology

at.algebraic-topology
2024-05-06 through 2024-05-10
CIRM
Luminy; France

Meeting Type: conference

Contact: Ricardo Campos, Joana Cirici, Vladimir Dotsenko, Bruno Vallette

Description

The aim of the present conference is to gather mathematicians working in Algebra, Geometry, Topology, and Mathematical Physics. It will cover new foundational works on higher algebra together with its applications.

This conference is the closing event the project ANR « Higher Algebra, Geometry, and Topology », which structures the French community working on these topics.

Confirmed speakers

Alexander BERGLUND (University of Stockholm), Luciana BONATTO (Max Planck Institute for Mathematics Bonn), Basil CORON (Université de Strasbourg/Queen Mary), Berenice DELCROIX-OGER (Université de Montpellier), Coline EMPRIN (Université Sorbonne Paris Nord), Chiara ESPOSITO (University of Salerno), Bernhard KELLER (Université Paris Cité), Guillaume LAPLANTE-ANFOSSI (University of Melbourse), Florian NAEF (Trinity College Dublin), Joost NUITEN (Université de Toulouse), Dan PETERSEN (University of Stockholm), Marcy ROBERTSON (University of Melbourne), Victor ROCA LUCIO (EPFL), Sergey SHADRIN (University of Amsterdam), Andrea SOLOTAR (University of Buenos Aires & Guangdong Technion), Anna SOPENA (Universitat de Barcelona), Christine VESPA (Aix-Marseille Université), Ben WARD (Bowling Green State University).

Local Systems in Algebraic Geometry

ag.algebraic-geometry nt.number-theory
2024-05-07 through 2024-05-10
The Ohio State University
Columbus, OH; USA

Meeting Type: instructional workshop

Contact: see conference website

Description

none

The Ceresa Cycle in Arithmetic and Geometry

ag.algebraic-geometry nt.number-theory
2024-05-13 through 2024-05-17
ICERM
Providence, RI; USA

Meeting Type: conference

Contact: see conference website

Description

In the 1980s, Ceresa exhibited one of the first naturally occurring examples of an algebraic cycle, the Ceresa cycle, that is in general homologically trivial but algebraically nontrivial. In the last few years, there has been a renewed interest in the Ceresa cycle, and other cycle classes associated to curves over arithmetically interesting fields, and their interactions with analytic, combinatorial, and arithmetic properties of those curves. We hope to capitalize on this momentum to bring together different communities of arithmetic geometers to fully explore explicit computations around the arithmetic and geometry of cycles, when these various approaches are systematically combined.

2024 Georgia Topology Summer School

gt.geometric-topology
2024-05-15 through 2024-05-19
University of Georgia
Athens, Georgia; USA

Meeting Type: Summer school

Contact: see conference website

Description

none

St. Louis Topology Conference: Flows and Foliations in 3-manifolds

ds.dynamical-systems gt.geometric-topology
2024-05-17 through 2024-05-19
Washington University
Saint Louis, Missouri; USA

Meeting Type: conference

Contact: Michael Landry

Description

Registration is open, and March 17 is the deadline to request funding.

The speakers are:

Ian Agol (UC Berkeley)

Thomas Barthelmé (Queens University)

Danny Calegari (University of Chicago)

Nathan Dunfield (University of Illinois Urbana-Champaign)

David Gabai (Princeton University)

Ying Hu (University of Nebraska Omaha)

Beibei Liu (Ohio State University)

Anna Parlak (UC Davis)

Samuel Taylor (Temple University)

Chi Cheuk Tsang (Université du Québec à Montréal)

Mehdi Yazdi (Kings College London)


In addition to these lectures there will be 2 lightning talk sessions and a panel discussion on issues faced by early career mathematicians.

Organizers: Steven Frankel (Washington University), Michael Landry (St. Louis University), Rachel Roberts (Washington University)

2024 Georgia Topology Conference

gt.geometric-topology
2024-05-20 through 2024-05-24
University of Georgia
Athens, Georgia; USA

Meeting Type: conference

Contact: see conference website

Description

none

Graduate Student Conference in Algebra, Geometry, and Topology

ag.algebraic-geometry at.algebraic-topology dg.differential-geometry gn.general-topology gt.geometric-topology mg.metric-geometry nt.number-theory
2024-05-31 through 2024-06-02
Temple University
Philadelphia, Pennsylvania; USA

Meeting Type: conference

Contact: Andrew Clickard

Description

GTA: Philadelphia 2024 is the 9th annual Graduate Student Conference in Algebra, Geometry, and Topology (GSCAGT), to be held on-campus at Temple University in Philadelphia from Friday, May 31 to Sunday, June 2, 2024.

This conference aims to expose graduate students in algebra, geometry, and topology to current research, and provide them with an opportunity to present and discuss their own research. It also intends to provide a forum for graduate students to engage with each other as well as expert faculty members in their areas of research. Most of the talks at the conference will be given by graduate students, with four given by distinguished keynote speakers:

Sarah Koch (University of Michigan)

Nick Miller (University of Oklahoma)

Hiro Lee Tanaka (Texas State University)

Isabel Vogt (Brown University)

This event is sponsored by the Department of Mathematics at Temple University and is pending sponsorship from the NSF. Registration is now open. The deadline to register for funding is April 17th, after which it will be considered on a rolling basis. We encourage participants to apply early; once NSF funding for the conference has been approved, applications filed before deadline will receive a decision within two weeks of submission.

GTA: Philadelphia 2024 (the 9th annual Graduate Student Conference in Algebra, Geometry, and Topology)

ag.algebraic-geometry at.algebraic-topology nt.number-theory
2024-05-31 through 2024-06-02
Temple University
Philadelphia, PA; USA

Meeting Type: conference for graduate students

Contact: see conference website

Description

GTA: Philadelphia 2024 is the 9th annual Graduate Student Conference in Algebra, Geometry, and Topology (GSCAGT), to be held on-campus at Temple University in Philadelphia from Friday, May 31 to Sunday, June 2, 2024.

This conference aims to expose graduate students in algebra, geometry, and topology to current research, and provide them with an opportunity to present and discuss their own research. It also intends to provide a forum for graduate students to engage with each other as well as expert faculty members in their areas of research. Most of the talks at the conference will be given by graduate students, with four given by distinguished keynote speakers.

This event is sponsored by the Department of Mathematics at Temple University and is pending sponsorship from the NSF.

June 2024

HYPATIA Graduate Summer School 2024

ag.algebraic-geometry gn.general-topology
2024-06-03 through 2024-06-06
Centre de Recerca Matemàtica (CRM)
Barcelona; Spain

Meeting Type: Summer School

Contact: see conference website

Description

This summer school series aims at training their participants in key strategic problems in mathematics and their applications, with the core idea that theory and applications strengthen each other. The school is focused in training of young researchers whilst opening new fields for senior ones.

The Hypatia Graduate Summer School will consist in two keynote courses on subjects of exceptional promise and scientific importance delivered by highly distinguished speakers in the area plus a high-level colloquium on a complementary subject.

The Hypatia Graduate Summer School will be developed in an informal atmosphere based on discussions, exchange of ideas and critical analysis of results. Moreover, to honour its namesake, it is committed to work under a friendly gender perspective that highlights the role of women in mathematics and encourages and helps the participation and promotion of young female researchers at a professional level.

Visions in Arithmetic and Beyond: Celebrating Peter Sarnak's Work and Impact

ag.algebraic-geometry nt.number-theory
2024-06-03 through 2024-06-07
Princeton University/Institute for Advanced Study
Princeton, NJ; USA

Meeting Type: conference

Contact: see conference website

Description

none

Regulators V

ag.algebraic-geometry
2024-06-03 through 2024-06-13
University of Pisa
Pisa, Toscana; Italy

Meeting Type: conference

Contact: Gregory Pearlstein

Description

This is the 5th edition of the "Regulators" series of conferences, which bring together the world's leading experts on regulators and their connections to the study of algebraic cycles and motives. Applications to physics and other branches of mathematics such as number theory, algebraic geometry and mathematical Physics will also be considered. In particular, the conference will report on the progress in the subject since the previous conference Regulators IV, which was held in Paris in 2016.

Algebraic Structures in Topology II

at.algebraic-topology ct.category-theory
2024-06-05 through 2024-06-14
San Juan; Puerto Rico

Meeting Type: conference, summer school, workshop

Contact: Ralph Kaufmann, Mona Merling, Jeremy Miller, Manuel Rivera, Natalia Pacheco Tallaj

Description

The conferences will feature a variety of events focusing on recent developments in algebraic topology and their applications to geometry, physics, and data science.

EpiGA Conference 2024

ag.algebraic-geometry
2024-06-10 through 2024-06-14
Institut Henri Poincaré
Paris; France

Meeting Type: conference

Contact: see conference website

Description

The EPIGA 2024 conference will feature a series of lectures covering a large spectrum of algebraic geometry. Half a day will be devoted to talks and debates on the topic of scientific publishing. It will also be the occasion to award the first Demailly prize for open science.

Current Trends in Kähler Metrics with Special Curvature Properties

ag.algebraic-geometry cv.complex-variables dg.differential-geometry
2024-06-17 through 2024-06-21
UQAM
Montreal; Canada

Meeting Type: conference

Contact: Vestislav Apostolov, Julien Keller, Julius Ross, Eleonora Di Nezza

Description

The scientific root of this workshop goes back to the seminal works of E. Calabi in the 1950s, who proposed to find a canonical Kähler metric, called extremal, representing a cohomology class of a compact Kähler manifold. Calabi showed that in this setting, the search for extremal Kähler metrics can be reduced to solving a non-linear PDE. A particular example of extremal Kähler metrics are the celebrated Kähler-Einstein metrics whose existence theory is now settled, starting with the resolution of Calabi’s famous conjecture by Aubin and Yau in the 1970s (the non-obstructed case), and culminating in recent times with the resolution of the Yau-Tian-Donaldson (YTD) conjecture in the obstructed Fano case. These efforts motivated a general YTD correspondence, which predicts that the existence of special Kähler metrics should be expressed in terms of a suitable complex-analytic/algebraic notion of stability of the underlying complex/projective variety.

Many partial results on such general YTD correspondences have been obtained recently in various special cases. For instance, the existence of a constant scalar curvature Kähler metric on a smooth toric variety is now settled whereas the log Fano case has been tackled recently, notably via weighted versions of Kähler-Ricci solitons. Another challenging direction of active current research consists of finding computable or even algorithmic criteria for algebraic stability (or for the existence of special Kähler metrics) on a given manifold, for example as in the recent works in the case of spherical varieties. Finally, the existence of special Kähler metrics or, equivalently, the corresponding stability notions, are expected to give the right tool for defining a good moduli space of polarized varieties.

Curves, Abelian VArieties, and RElated Topics

ag.algebraic-geometry nt.number-theory
2024-06-17 through 2024-06-21
Universitat de Barcelona
Barcelona, Catalonia; Spain

Meeting Type: conference

Contact: See conference website

Description

See conference website

Queen's Mathematics Summer School

ag.algebraic-geometry ap.analysis-of-pdes oc.optimization-and-control
2024-06-17 through 2024-06-21
Queen's University
Kingston, Ontario; Canada

Meeting Type: Summer School

Contact: Francesco Cellarosi, Maria Teresa Chiri, Felicia Magpantay, Abdol-Reza Mansouri

Description

The Queen's Mathematics Summer School is open to undergraduate and Masters students who are interested in spending one week learning exciting, cutting-edge mathematics on the beautiful campus of Queen's University by the shores of Lake Ontario. There will be three courses, each with 9 hours of lecture time over the week.

Course A: Scalar Conservation Laws Instructor: Maria Teresa Chiri (Queen's University) Keywords: Hyperbolic PDEs, Hamilton-Jacobi, applications to vehicular traffic.

Course B: Topics in Machine Learning Instructor: Bahman Gharesifard (Queen's University and UCLA) Keywords: Temporal difference learning, non-convex optimization, sample complexity.

Course C: Topology of Maps Between Curves Instructor: Mike Roth (Queen's University) Keywords: Polynomial solutions to polynomial equations, genera, elliptic curves.

The Ninth Pacific Rim Conference in Mathematics Darwin

ag.algebraic-geometry ap.analysis-of-pdes dg.differential-geometry pr.probability rt.representation-theory sg.symplectic-geometry
2024-06-17 through 2024-06-21
Australian National University
Darwin, Northern Territory; Australia

Meeting Type: International Conference

Contact: Tony Martin

Description

The Ninth Pacific Rim Conference on Mathematics (PRCM) will be held from Mon, Jun 17 2024 to Fri, Jun 21 2024 at the Darwin Convention Centre, in Darwin (Northern Territory, Australia), hosted by the Mathematical Sciences Institute (MSI), Australian National University (ANU). The PRCM is a broad mathematical event held every few years that covers a wide range of exciting research in contemporary mathematics. Its objectives are to offer a venue for the presentation to and discussion among a wide audience of the latest trends in mathematical research, and to strengthen ties between mathematicians working in the Pacific Rim region. The conference will provide mathematicians with opportunities to engage with international research leaders, established colleagues, and junior researchers.

Spec(Q¯(2πi))

ag.algebraic-geometry ca.classical-analysis-and-odes nt.number-theory
2024-06-18 through 2024-06-21
Fields Institute
Toronto, ON; Canada

Meeting Type: conference

Contact: see conference website

Description

After the success and impact of Spec(Q⎯⎯⎯⎯), held at the Fields Institute in 2022, Spec(Q¯(2πi)) again aims to celebrate and promote research advances of LGBTQ2I (Lesbian, Gay, Bisexual, Transgender, Queer, 2-spirit , Intersex) mathematicians specialising in algebraic geometry, arithmetic geometry, commutative algebra, and number theory. The first edition of the conference proved to be extremely important to lay the foundations for a fertile, supportive and stimulating scientific queer community in the areas of algebraic geometry, commutative algebra and number theory. Building on the strengths of the first edition, Spec(Q¯(2πi)) will create an empowering and engaging environment which provides LGBTQ2I visibility in algebraic geometry, will support junior LGBTQ2I academics, and will crystallise new collaborative networks for participants.

Algebraic geometry, classically, is the study of the geometry of solutions of polynomial equations; through modern advances it has become an intersectional mathematical field, drawing from various aspects of algebra, number theory, geometry, combinatorics and even mathematical physics. This conference aims to highlight strong mathematical research in a wide array of topics in algebraic geometry, broadly defined. The conference will feature some plenary talks by world-leading researchers from a range of areas of algebraic geometry. To facilitate new connections across the various threads of algebraic geometry, plenary talks at Spec(Q¯(2πi)) will be aimed at a general algebro-geometric audience.

Algebraic K-theory and Brauer groups

ag.algebraic-geometry kt.k-theory-and-homology
2024-06-23 through 2024-06-28
Casa Matemática Oaxaca (CMO)
Oaxaca; Mexico

Meeting Type: conference

Contact: see conference website

Description

Algebraic geometry is the field of mathematics which concerns the study of spaces cut out by polynomial equations. This workshop concern the interaction of two important objects in algebraic geometry - the K-groups and the Brauer group. In algebraic geometry, we study spaces via invariants - the procedure of attaching simpler, more "linear" objects to these spaces in the hope of extracting information about them. Both the K-groups and Brauer group are such examples which have had an excellent track record in being both powerful and accessible at the same time. Roughly speaking, the K-groups are built out from \emph{vector bundles} on such a space - a continuous assignment of vector spaces on each point of the space. On the other hand the Brauer groups are built from "twisted" vector bundles.

Both invariants have had a history of interaction and cross-pollination and the goal of the workshop is to bring together researchers in both areas to share their research and pave the way for even more fruitful interaction in the future. We are particularly excited about the prospect of new, field-driving questions to come out from this workshop.

Recent Progress on Hilbert’s 12th Problem

ag.algebraic-geometry nt.number-theory
2024-06-24 through 2024-06-28
International Centre for Mathematical Sciences
Edinburgh; UK

Meeting Type: conference

Contact: see conference website

Description

Hilbert’s twelfth problem asks for explicit constructions of the abelian extensions of a given number field, similar to what is known for the rational numbers and for imaginary quadratic fields. These abelian extensions are known as class fields because their Galois groups are identified with certain generalized ideal class groups. In the two known cases, the class fields are obtained via the adjunction of roots of unity and of torsion points on elliptic curves with complex multiplication. These are special values of complex analytic functions – the exponential function and elliptic functions with complex multiplication. Hilbert may have envisioned the use of special values of complex analytic functions to construct class fields of more general base fields.

In the 1970s, Harold Stark proposed a strikingly original approach to the generation of class fields, based on his conjectures on the leading term of Artin L-functions at s = 0 [St75]. In the case of abelian L-functions with a simple zero at s = 0, Stark predicted that the first derivative was the logarithm of a unit in the respective class field [St76], so exponentiating this derivative would give a generator for the abelian extension. In the two known cases, this reduced to the theory of circular and elliptic units, thanks to Dirichlet’s analytic class number formula and Kronecker’s limit formula. Although there is now extensive computational evidence that Stark’s conjecture is correct, there has been little progress on its solution.

In the 1980s Benedict Gross formulated some p-adic [Gr82] and tame [Gr88] analogues of Stark’s conjectures, which gave more information on the p-adic expansions of the conjectural units. Since the p adic L-functions involved in Gross’s conjecture are related to certain Galois modules via the main conjecture in Iwasawa theory, these conjectures have proved more amenable than their complex analogs. Refinements of the Gross-Stark conjecture were proposed in [DD06], and the p-adic conjectures of [Gr82] was proved in [DDP11]. This line of argument has culminated in the recent work of Samit Dasgupta and Mahesh Kakde [DKa], [DKb] which, by proving a large part of the conjectures of [Gr88] (along with the refinement [DD06] of the conjectures of [Gr82] in the broader setting of totally real fields) leads to a p−adic solution to Hilbert’s twelfth problem for this large class of fields.

The goal of this workshop is to take stock of this striking recent development and of other progress around the theme of related approaches to explicit class field theory. The key to much of the progress over the years is the careful study of p-adic and tame deformations of modular forms, most notably, of Hilbert modular Eisenstein series. The p-adic interpolation of classical Eisenstein series was introduced by Jean-Pierre Serre [Se72] to study the congruences of special values of L-functions and the construction of p-adic L-functions for totally real fields, and was further developed by Barry Mazur and Andrew Wiles in their proof of the main conjecture of Iwasawa theory [MW84]. The workshop will focus on the breakthroughs in [DKa] and [DKb], with a lecture series by the two authors forming the cornerstone of the activity.

Women in Algebraic Geometry 2

ag.algebraic-geometry
2024-06-24 through 2024-06-28
Institute for Advanced Study
Princeton, NJ; USA

Meeting Type: collaborative research workshop

Contact: see conference website

Description

none

AMS MRC conference Homotopical Combinatorics

at.algebraic-topology co.combinatorics
2024-06-30 through 2024-07-06
AMS
Java Center, NY; USA

Meeting Type: conference / workshop

Contact: Kyle Ormsby

Description

Transfer systems are a new combinatorial object that exhibit surprising connections between abstract homotopy theory, equivariant topology, and combinatorics. About ten years ago, Blumberg and Hill defined the related "indexing systems'' as the central algebraic object controlling twisted multiplications that naturally arise in the study of equivariant cohomology theories. Rubin and Balchin--Barnes--Roitzheim independently recast this notion in a much simpler framework, characterizing indexing systems in terms of transfer systems, as a particular kind of weak subposet of the lattice of subgroups of a finite group G , ordered by inclusion. Work of Ormsby--Osorno and teams of collaborators has shown how the natural generalization of this notion to an arbitrary poset has fascinating combinatorial properties, and Balchin--MacBrough--Ormsby have further connected this to abstract homotopy theories on posets. Each of these connections provides exciting results which can be transferred and reinterpreted in the other fields, yielding unexpected new structure and theorems.

This MRC will introduce participants to this burgeoning new area, bringing together researchers with interests in combinatorics, algebraic topology, and abstract homotopy theory. The field is rife with open problems, including basic questions about the structure of transfer systems, combinatorics problems associated to counting transfer systems for natural families of posets, identifying connections with other combinatorial structures, and applying the language of model categories to recast and reform these questions.

One of the exciting features of the program is that there are few prerequisites. Familiarity with abstract homotopy theory or with modern methods of algebraic topology will allow deeper engagement with some of the potential problems, but is not required, and much of the subject can be approached purely combinatorially. Before the workshop, relevant readings will be provided to help provide background, and an online collaboration platform will be used to start discussing material and to begin building community. At the workshop, participants can expect to work in teams on research programs, to engage with lectures from senior faculty participants about aspects of homotopical combinatorics, and to have open feedback sessions for further discussion.

The primary focus of the workshop is supporting early-career researchers, including advanced graduate students, postdocs, and pre-tenure faculty. As such, there will also be professional development sessions, the topics of which will be driven by participant interest and need. We especially encourage members of traditionally excluded groups to apply.

Applications will be accepted on MathPrograms.org through Thursday, February 15, 2024 (11:59 p.m. EST).

July 2024

Arithmetic Geometry and Applications

ag.algebraic-geometry nt.number-theory
2024-07-01 through 2024-07-05
Trieste; Italy

Meeting Type: conference

Contact: see conference website

Description

none

Summer school - New structures in low-dimensional topology

gn.general-topology gt.geometric-topology qa.quantum-algebra sg.symplectic-geometry
2024-07-01 through 2024-07-05
Renyi Institute
Budapest; USA

Meeting Type: summer school

Contact: Aaron Lauda, Sergei Gukov

Description

We would like to advertise a Summer School in low-dimensional topology, organized by the Simons collaboration "New structures in low-dimensional topology”, which will take place at the Rényi Institute in Budapest (Hungary) on the week of 1st-5th July 2024. The main target audience of the summer school are PhD students. See https://erdoscenter.renyi.hu/events/summer-school-new-structures-low-dimensional-topology for more information.

We have limited funding to support some junior participants as well as limited space. Registration and application for funding is now open at the above link. The deadline for application is 15th March 2024.

Please forward this message to anyone who might be interested in applying.

Our best wishes, The organizers Sergei Gukov, Aaron Lauda, Marco Marengon, Tom Mrowka, Peter Ozsváth, András Stipsicz, Zoltán Szabó

Transcendental aspects of algebraic geometry

ag.algebraic-geometry cv.complex-variables
2024-07-01 through 2024-07-05
Cetraro; Italy

Meeting Type: conference

Contact: see conference website

Description

This conference will present the latest developments in the use of transcendental methods (complex analysis, differential geometry of special metrics, harmonic maps, plurisubharmonic functions, Hodge theory, ...) to study complex algebraic varieties. It will be an opportunity to celebrate the 70th birthday of Thomas Peternell, who played a major role in the development of transcendental methods in algebraic geometry.

Algebraic K-Theory and Arithmetic

ag.algebraic-geometry kt.k-theory-and-homology nt.number-theory rt.representation-theory
2024-07-07 through 2024-07-13
Institute of Mathematics, Polish Academy of Science, Będlewo Conference Center
Będlewo, Greater Poland; Poland

Meeting Type: conference

Contact: see conference website

Description

none

PCMI 2024 Research Topic: Motivic Homotopy

ag.algebraic-geometry at.algebraic-topology kt.k-theory-and-homology
2024-07-07 through 2024-07-27
Institute for Advanced Study/Parc City Mathematics Institute
Park City, Utah; USA

Meeting Type: meeting with several components

Contact: Oliver Röndigs

Description

The IAS/Park City Mathematics Institute is a three-week residential summer session with a graduate summer school, a research program, an undergraduate summer school, and an undergraduate faculty program. More information can be found on the conference website. PCMI encourages applications from all those with interest in the program, both from the US and internationally. This year it is organized by Benjamin Antieau (Northwestern University), Marc Levine (Universität Duisburg-Essen), Oliver Röndigs (Universität Osnabrück), Alexander Vishik (University of Nottingham), and Kirsten Wickelgren (Duke University).

p-adic Families of Automorphic Forms: Theories and Applications

ag.algebraic-geometry nt.number-theory
2024-07-08 through 2024-07-12
International Centre for Mathematical Sciences
Edinburgh; UK

Meeting Type: conference

Contact: see conference website

Description

The idea of p-adic families of automorphic forms grew out of work of Serre and Swinnerton-Dyer in the 70s exploring congruences between the q-expansion coefficients of modular forms. Work of Hida, Coleman and Mazur made the investigation of p-adic families one of the central topics in the arithmetic of modular forms. In the following decades there were striking applications to the construction of p-adic L-functions, Iwasawa theory and modularity of Galois representations.

One powerful organising principle has been to parametrize p-adic modular forms (or, more generally, p-adic automorphic forms) by p-adic analytic spaces known as eigenvarieties (or eigencurves, in the one-dimensional case originally considered by Coleman and Mazur). Our understanding of the geometry of eigenvarieties and their relationship to moduli spaces of Galois representations has rapidly developed, but there are still many important open questions.

An overarching objective of this meeting will be to bring together people working on the different theories of p-adic automorphic forms and various applications (or potential applications). We hope that this will inspire new collaborations and insights.

The Mordell conjecture 100 years later

ag.algebraic-geometry nt.number-theory
2024-07-08 through 2024-07-12
MIT
Cambridge, MA; USA

Meeting Type: conference

Contact: Jennifer Balakrishnan, Philipp Habegger, Bjorn Poonen, Andrew V. Sutherland, Wei Zhang

Description

none

Introduction to the Theory of Algebraic Curves

ag.algebraic-geometry
2024-07-08 through 2024-07-19
MSRI/SLMath
Berkeley, CA; USA

Meeting Type: school for graduate students

Contact: see conference website

Description

In the last few years, there have been extraordinary developments in many aspects of curve theory. Beginning with many examples in low genus, this summer school will introduce the participants to the background behind these developments in the following areas:

  1. moduli spaces of stable curves
  2. Brill–Noether theory
  3. the extrinsic geometry of the curves in projective space

We will also include an introduction to some open problems at the forefront of these active areas.

School Structure

There will be two one-hour lectures and two problem sessions each day.

Prerequisites

Basic knowledge of algebraic geometry up to the level of the Riemann–Roch and Riemann–Hurwitz theorems for curves. (These theorems appear, for example, in Hartshorne’s Algebraic Geometry as Theorem IV.1.3 and Corollary IV.2.4; or in Sections 2.3 and 2.1 in Griffiths–Harris Principles of Algebraic Geometry).

Application Procedure

For eligibility and how to apply, see the main summer school page.

Arithmetic Geometry

ag.algebraic-geometry nt.number-theory
2024-07-14 through 2024-07-19
Mathematische Forschungsinstitut Oberwolfach
Oberwolfach; Germany

Meeting Type: conference

Contact: see conference website

Description

none

Topologie

at.algebraic-topology gt.geometric-topology
2024-07-21 through 2024-07-27
MFO
Oberwolfach; Germany

Meeting Type: workshop

Contact: Mark Behrens, Ruth Charney, Oscar Randal-Williams, Andras Stipsicz

Description

See conference website

Conference on "Arithmetic Geometry" in Honour of Gerd Faltings' 70th Birthday

ac.commutative-algebra ag.algebraic-geometry nt.number-theory
2024-07-22 through 2024-07-26
Max-Planck Institute for Mathematics
Bonn; Germany

Meeting Type: conference

Contact: see conference website

Description

none

Young researcher's conference in non-archimedean, tropical and Arakelov geometry

ag.algebraic-geometry co.combinatorics nt.number-theory
2024-07-22 through 2024-07-26
University of Regensburg
Regensburg; Germany

Meeting Type: conference

Contact: see conference website

Description

The follow-up to the 2015, 2017, 2019 and 2022 Students' Conference on Tropical and Non-Archimedean Geometry, will take place in Regensburg from July 22, 2024 to July 26, 2024. The goal of the conference is to gather mainly PhD students and young post-docs in tropical, Arakelov or non-archimedean geometry in a friendly setting and foster new collaborations.

The conference will begin with three introductory lectures on tropical, Arakelov and non-archimedean geometry respectively, aimed in particular at new PhD students. Those will then be followed by more traditional research talks. We also encourage participants to apply for giving a talk.

Colombian Encounter of Tropical and Non-archimedean Geometry

ac.commutative-algebra ag.algebraic-geometry mg.metric-geometry
2024-07-29 through 2024-08-02
Universidad de los Andes
Bogotá; Colombia

Meeting Type: conference

Contact: Pablo Cubides

Description

Tropical geometry is a piece-wise linear geometry which merges ideas from algebraic, symplectic and non-archimedean geometry with tools from combinatorics and convex geometry. Via the process of tropicalization, classical varieties and geometric problems can be connected to the tropical world and, in some cases, solved there. In non-archimedean geometry, the valuation on the underlying field makes the idea of tropicalization particularly natural and powerful. In recent years, this connection has received much attention and exhibited links to diverse topics such as Hodge theory, mirror symmetry and the study of zeta functions. The main goal of this event is to introduce students and young mathematicians to these exciting topics and to foster and strengthen the connections between local researchers and the international mathematical community.

The school will introduce the participants to tropical and non-archimedean geometry via two minicourses given by Ilia Itenberg (Sorbonne Université) and Marco Maculan (Sorbonne Université). Additionally, in the research talks we will explore the latest developments in the field. We hope that this school can serve as the starting point for a local network of researchers and students and therefore can be continued in the coming years by follow-up events of a similar type.

August 2024

Mathematics for post-quantum cryptanalysis

ag.algebraic-geometry nt.number-theory
2024-08-05 through 2024-08-09
Eötvös Loránd University
Budapest; Hungary

Meeting Type: conference

Contact: see conference website

Description

The aim of this conference is to help narrow the gap between computational mathematicians and mathematical cryptographers, driven by the many new hardness assumptions that are emerging in the context of post-quantum cryptography. The conference will be organized along the four main mathematical themes in post-quantum cryptography: lattices, error-correcting codes, systems of non-linear equations, and isogenies.

Young Topologists Meeting 2024

ag.algebraic-geometry at.algebraic-topology ct.category-theory gn.general-topology gt.geometric-topology kt.k-theory-and-homology
2024-08-05 through 2024-08-09
University of Münster
Münster; Germany

Meeting Type: conference

Contact: Konrad Bals

Description

The Young Topologists Meeting is an annual international conference aimed at early-career researchers in topology - both pure and applied - covering the whole breadth of the subject. It serves as a platform for graduate, PhD students, and early postdocs to present their research, exchange ideas, and build international connections.

Previous editions of the conference have been organized by the EPFL, Switzerland, the University of Copenhagen, Denmark, and jointly by the University of Stockholm and the Royal Institute of Technology, Sweden. Next up: Münster, Germany.

Motivic homotopy, K-theory, and Modular Representations

ag.algebraic-geometry at.algebraic-topology rt.representation-theory
2024-08-09 through 2024-08-11
University of Southern California
Los Angeles, CA; USA

Meeting Type: conference

Contact: Aravind Asok, Christopher Bendel, Christian Haesemeyer, Julia Pevtsova, Paul Sobaje, Jared Warner

Description

A celebration of the mathematics of Eric Friedlander on the occasion of his 80th birthday

AGACSE 2024 (Applied Geometric Algebras in Computer Science and Engineering)

gt.geometric-topology mg.metric-geometry
2024-08-26 through 2024-08-29
University of Amsterdam
Amsterdam; Netherlands

Meeting Type: conference

Contact: Leo Dorst, Joan Lasenby

Description

The 9th installment of AGACSE (Applied Geometric Algebras in Computer Science and Engineering) will take place August 26-29 in Amsterdam.

The field of Geometric/Clifford Algebras has seen a recent surge in applied interest, as witnessed on https://bivector.net, its accompanying discord server, and other forums. The unifying nature of the GA framework is prompting company-wide software approaches to geometrical, mechanical and EM solutions. The novel PGA (the GA of 3D Euclidean geometry) has simplified the classical data structures from computer graphics to classical mechanics simulators. And the very recent applications within Geometrically Equivariant Networks have immediately produced successes that draw in new researchers and practitioners, with new software platforms and tutorials appearing monthly.

The AGACSE conference aims to showcase successful examples of such applications from industry, and discuss the new developments now brewing in research labs. We expect a fruitful interaction between practice and theory, in which novel insights inform implementations, and new target domains raise interesting new structural questions.

You may find the conference website here: https://staff.science.uva.nl/l.dorst/AGACSE2024/index.html.

The first important deadline is the submission of a 4-6 page abstract by February 29, 2024.

We hope to see you in Amsterdam in August 2024!

dr ir Leo Dorst, University of Amsterdam prof dr Joan Lasenby, University of Cambridge

Analytic Number Theory and Arithmetic Statistics

ag.algebraic-geometry nt.number-theory
2024-08-26 through 2024-08-30
Centre de recherches mathématiques
Montréal, QC; Canada

Meeting Type: conference

Contact: see conference website

Description

none

September 2024

Ramification in geometric Langlands and non-abelian Hodge theory

ag.algebraic-geometry nt.number-theory rt.representation-theory
2024-09-09 through 2024-09-13
Heidelberg University
Heidelberg, Baden-Württemberg; Germany

Meeting Type: workshop

Contact: Andreas Hohl, Johannes Horn, Konstantin Jakob, Judith Ludwig, Timo Richarz

Description

This workshop is motivated by recent developments in geometric representation theory, related to wild ramification in the geometric Langlands program and non-abelian Hodge theory. The goal is to bring together researchers in these fields and researchers working on irregular singularities (in particular Stokes phenomena), to stimulate future interactions.

It will feature research talks from experts in the field, a poster session for early-career researchers as well as three mini-courses by

Jean-Baptiste Teyssier (Sorbonne Université), Valerio Toledano-Laredo (Northeastern University) and Zhiwei Yun (Massachusetts Institute of Technology).

October 2024

Tropical Geometry: Moduli spaces and matroids

co.combinatorics ag.algebraic-geometry gt.geometric-topology
2024-10-07 through 2024-10-11
Goethe University Frankfurt
Frankfurt am Main; Germany

Meeting Type: Workshop

Contact: Andreas Gross, Hannah Markwig, Martin Ulirsch

Description

none

November 2024

p-adic geometry

ag.algebraic-geometry nt.number-theory
2024-11-18 through 2024-11-22
National University of Singapore
Singapore; Singapore

Meeting Type: instructional workshop

Contact: see conference website

Description

none

June 2025

Algebraic Points on Curves

ag.algebraic-geometry nt.number-theory
2025-06-23 through 2025-06-27
ICERM
Providence, RI; USA

Meeting Type: conference

Contact: see conference website

Description

In recent years, there has been an explosion of activity surrounding algebraic points on curves, from many different perspectives. These include the study of measures of irrationality, isolated and parametrized points, computational methods to determine algebraic points, and the arithmetic statistics of algebraic points. In this workshop, we aim to bring together researchers from these diverse perspectives, with the particular goal of developing bridges between them. The workshop will include overview talks on the various perspectives, research talks, an open problem session, and structured time for collaboration.

August 2025

René 25

ag.algebraic-geometry nt.number-theory
2025-08-18 through 2025-08-22
University of French Polynesia
Punaauia; French Polynesia

Meeting Type: conference

Contact: see conference website

Description

The René 25 conference's purpose is to celebrate the research interests of René Schoof.

September 2025

Special Year on Arithmetic Geometry, Hodge Theory, and O-minimality

lo.logic ag.algebraic-geometry nt.number-theory
2025-09-01 through 2026-04-30
Institute for Advanced Study
Princeton, NJ; USA

Meeting Type: thematic program

Contact: see conference website

Description

During the 2025-26 academic year the School will have a special program on Arithmetic Geometry, Hodge Theory, and O-minimality. Jacob Tsimerman, University of Toronto will be the Distinguished Visiting Professor.

The purpose of this special year will focus on recent developments in hodge theory and o-minimality and their applications to arithmetic geometry. There has been much progress over the last 15 years in using transcendental uniformization maps to study arithmetic questions (general shafarevich theorems, results on unlikely intersections, general bounds on rational point counts). It has become increasingly clear that hodge theory (both classical and P-adic) and the resulting period maps form a natural home for these kinds of investigations to arise. In the other direction, O-minimality has been applied with success to make progress on questions in Hodge theory (Griffiths conjecture, definable period maps), and has recently had its own explosion of results (sharply O-minimal sets, the resolution of Wilkie's conjecture).

The goal of this year will be to bring together researchers in these different fields, with the aim of extending the collaboration between areas, share key insights, and investigate how far existing methods can be pushed.

Senior participants: Gal Binaymini, Ben Bakker (to be confirmed), Jonathan Pila and Claire Voisin (STV)