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Upcoming Meetings

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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.

June 2024

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.

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

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

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

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.

Resolution of singularities, valuation theory and related topics: A celebration of the 63rd birthday of Mark Spivakovsky

ag.algebraic-geometry
2024-08-05 through 2024-08-09
UNAM
Morelia; Mexico

Meeting Type: conference

Contact: see conference website

Description

none

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

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

Combinatorics and Geometry in Ioannina

ac.commutative-algebra ag.algebraic-geometry co.combinatorics
2024-09-02 through 2024-09-06
Ioannina; Greece

Meeting Type: conference

Contact: see conference website

Description

Our meeting will bring together researchers in various fields of mathematics such as Geometry, Combinatorics and Algebra. Through scientific talks new directions will be given and open problems will be proposed aiming at new collaborations among the participants.

XIV Annual International Conference of the Georgian Mathematical Union

ag.algebraic-geometry co.combinatorics cv.complex-variables fa.functional-analysis gm.general-mathematics gn.general-topology gt.geometric-topology ho.history-and-overview lo.logic mp.mathematical-physics na.numerical-analysis nt.number-theory pr.probability
2024-09-02 through 2024-09-07
Batumi Shota Rustaveli State University
Batumi, Georgia; Georgia

Meeting Type: conference

Contact: Tinatin Davitashvili

Description

The purpose of the Annual International Conference of the Georgian Mathematical Union is to bring together mathematicians from various fields to present their original research results and provide opportunities to establish new connections within the fields of pure and applied mathematics, as well as science, engineering, and technology. The conference also provides valuable networking opportunities for you to meet great personnel in these fields. Sections: • Algebra and Number Theory • Differential and Integral Equations, and Their Applications • Geometry and Topology • Logic, Language, Artificial Intelligence • Mathematical Education and History • Mathematical Logic and Discrete Mathematics • Mathematical Modeling and Numerical Analysis • Mathematical Physics • Probability Theory and Statistics, Financial Mathematics • Real and Complex Analysis

Moduli spaces and Arithmetic

ag.algebraic-geometry nt.number-theory
2024-09-09 through 2024-09-13
Nagoya University
Nagoya; Japan

Meeting Type: conference

Contact: Sho Tanimoto

Description

none

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

Instructional workshop on rational points

ag.algebraic-geometry nt.number-theory
2024-11-04 through 2024-11-08
Groningen; Netherlands

Meeting Type: school for graduate students

Contact: see conference website

Description

The workshop is aimed at young researchers such as PhD students and postdocs, and it features three mini-courses on different aspects of rational points.

Speakers:

  • Damaris Schindler (Universität Göttingen)

  • Anthony Várilly-Alvarado (Rice University)

  • Bianca Viray (University of Washington)

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

January 2025

CIRM Thematic Month: Singularities, differential equations, and transcendence

ag.algebraic-geometry co.combinatorics nt.number-theory
2025-01-27 through 2025-02-28
CIRM
Marseille; France

Meeting Type: conferences

Contact: see conference website

Description

This Thematic Month aims to cover topics related to singularity theory of algebraic or analytic spaces, algebraic study of differential equations, and their applications to questions of transcendence. This 5-week program covers different themes that are often not closely related. One of the main objectives is to make them interact. To encourage participants (especially the youngest ones) to attend the entire month and foster interactions outside each one’s expertise zone, the scientific program of each week of the month will consist of courses accessible to non-experts, as well as more specialized presentations. This month will consist of five successive weeks: – Logarithmic and non-archimedean methods in Singularity Theory. The first week will focus on recent results based on methods in logarithmic geometry and non-archimedean geometry in singularity theory. – Foliations, birational geometry and applications. The second week will cover topics in birational geometry, including singularity resolution, MMP (Minimal Model Program), algebraic foliation theory, and local holomorphic dynamics. – Tame Geometry. The third week will address tame geometry in various forms: o-minimality, transseries, Hardy fields, non-archimedean analogs of tame geometry, and their applications to number theory. – Galois differential Theories and transcendence. The fourth week is devoted to differential Galois theory and its applications to questions of functional transcendence and number theory, as well as the study of periods and E and G-functions. – Enumerative combinatorics and effective aspects of differential equations. The last week is dedicated to enumerative combinatorics and certain effective aspects of differential equations, especially applications in enumerative combinatorics of techniques presented in the previous week, or as effective results on topics covered in the preceding weeks.

March 2025

Arizona Winter School 2025: p-adic groups

ag.algebraic-geometry nt.number-theory rt.representation-theory
2025-03-08 through 2025-03-12
University of Arizona
Tucson, AZ; USA

Meeting Type: graduate instructional conference

Contact: see conference website

Description

Speakers:

 Charlotte Chan
 Jessica Fintzen
 Florian Herzig
 Tasho Kaletha 

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.

July 2025

Summer Institute in Algebraic Geometry

ag.algebraic-geometry
2025-07-14 through 2025-08-01
Colorado State University
Fort Collins, CO; USA

Meeting Type: conference

Contact: see conference website

Description

none

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)