Welcome to MathMeetings.net! This is a list for research mathematics conferences, workshops, summer schools, etc. Anyone at all is welcome to add announcements.

## Know of a meeting not listed here? Add it now!

Additional update notes are available in the git repository (GitHub).

# Upcoming Meetings

## July 2021

### Arithmetic Aspects of Deformation Theory

ag.algebraic-geometry nt.number-theory rt.representation-theory
2021-07-18 through 2021-07-23
Banff International Research Station

Meeting Type: conference

Contact: see conference website

### Description

One focus of modern number theory is to study symmetries of numbers that are roots of polynomial equations. Collections of such symmetries are called Galois groups, and they often encode interesting arithmetical information. The theory of Galois representations provides a way to understand these Galois groups and in particular, how they interact with other areas of mathematics. This workshop will investigate how these Galois representations can be put together into families, and search for new arithmetic applications of these families.

## August 2021

### Diophantine Methods in Algebraic Dynamics

ag.algebraic-geometry ds.dynamical-systems nt.number-theory
2021-08-01 through 2021-08-06
Banff International Research Station

Meeting Type: conference

Contact: see conference website

### Description

Algebraic dynamics is the study of discrete dynamical systems on algebraic varieties. It has its origins in complex dynamics, where one studies self-maps of complex varieties, and now encompasses dynamical systems defined over global fields.

In recent years, researchers have fruitfully investigated the latter by applying number-theoretic techniques, particularly those of Diophantine approximation and geometry, subfields which study the metric and geometric behavior of rational or algebraic points of a variety. The depth of this connection has allowed the mathematical arrow between the two fields to point in both directions; in particular, arithmetic dynamics is providing new approaches to deep classical Diophantine questions involving the arithmetic of abelian varieties. This workshop will focus on communicating and expanding upon the connections between algebraic dynamics and Diophantine geometry. It will bring together leading researchers in both fields, with an aim toward synthesizing recent advances and exploring future directions and applications.

### PRIMA 2021 Summer School: Rational curves and moduli spaces in arithmetic geometry

ag.algebraic-geometry nt.number-theory
2021-08-02 through 2021-08-04
PIMS

Meeting Type: summer school

Contact: Sho Tanimoto

### Description

Summer School associated to the special session: Arithmetic geometry: theory and computation in PRIMA congress 2022

### 2nd PhD/Postdoc Camp: The Geometry of Stability Conditions

ag.algebraic-geometry sg.symplectic-geometry
2021-08-02 through 2021-08-06
Private.
Glienicke, near Berlin; Germany

Meeting Type: summer camp

Contact: Jasper van de Kreeke, Tom Sutherland

### Description

Registration is still open! – After the success of last year’s camp, we are inviting you to a summer camp on the geometry of stability conditions. The camp takes place in Jasper’s garden in the outskirts of Berlin, Germany. We are going to exchange ideas and work on small research questions we are interested in.

We would be glad to welcome US residents, since restrictions for travel from the US to Germany were recently lifted entirely. Currently registered participants are from the UK, Germany and the Netherlands. The camp will take place in a relaxed atmosphere and includes an excursion through Berlin. You find more details and impressions on the website: https://sites.google.com/view/berlincamp2021

### miniMAGNTS (Midwest Arithmetic Geometry and Number Theory Series)

ag.algebraic-geometry nt.number-theory
2021-08-11 through 2021-08-11
online; USA

Meeting Type: one-day conference

Contact: Wei Ho, Roman Holowinsky, Jennifer Park, Kevin Tucker

### Description

MAGNTS (Midwest Arithmetic Geometry and Number Theory Series) is a recurring weekend number theory workshop with mini-courses, research talks, poster sessions, and career panels, which rotates among universities in the Midwest. The next full MAGNTS is scheduled for Spring 2022, but first, there will be a one-day virtual miniMAGNTS on Wednesday, August 11, 2021, featuring a career development session, a poster session, and an evening social event.

Please apply at https://www.magnts.org/ by August 7 if you are interested in attending!

Feel free to contact the organizers at [email protected] if you have any questions.

### Géométrie algébrique, Théorie des nombres et Applications (GTA)

ag.algebraic-geometry nt.number-theory
2021-08-16 through 2021-08-20
University of French Polynesia
Tahiti; French Polynesia

Meeting Type: conference

Contact: Gaetan Bisson

### Description

The GTA 2021 conference will bring together world class researchers in mathematics. Its main objectives are to discuss recent advances in the fields of algebraic geometry, number theory and their applications, as well as to foster international collaborations on connected topics.

Although contributions from all related areas of mathematics are welcome, particular emphasis will be placed on research interests of our late colleague Alexey Zykin, namely: zeta-functions and L-functions, algebraic geometry over finite fields, families of fields and varieties, abelian varieties and elliptic curves.

### SIAM Conference on Applied Algebraic Geometry (AG21)

ag.algebraic-geometry
2021-08-16 through 2021-08-20
College Station, TX; USA

Meeting Type: conference

Contact: see conference website

### Description

This is the meeting of the SIAM Activity Group on Algebraic Geometry.

The purpose of the SIAM Activity Group on Algebraic Geometry is to bring together researchers who use algebraic geometry in industrial and applied mathematics. "Algebraic geometry" is interpreted broadly to include at least: algebraic geometry, commutative algebra, noncommutative algebra, symbolic and numeric computation, algebraic and geometric combinatorics, representation theory, and algebraic topology. These methods have already seen applications in: biology, coding theory, cryptography, combustion, computational geometry, computer graphics, quantum computing, control theory, geometric design, complexity theory, machine learning, nonlinear partial differential equations, optimization, robotics, and statistics. We welcome participation from both theoretical mathematical areas and application areas not on this list which fall under this broadly interpreted notion of algebraic geometry and its applications.

### Supersingular Isogeny Graphs in Cryptography

ag.algebraic-geometry nt.number-theory
2021-08-22 through 2021-08-27
Banff International Research Station

Meeting Type: conference

Contact: see conference website

### Description

Despite the enormous commercial potential that quantum computing presents, the existence of large-scale quantum computers also has the potential to destroy current security infrastructures. Post-quantum cryptography aims to develop new security protocols that will remain secure even after powerful quantum computers are built. This workshop focuses on isogeny-based cryptography, one of the most promising areas in post-quantum cryptography. In particular, we will examine the security, feasibility and development of new protocols in isogeny-based cryptography, as well as the intricate and beautiful pure mathematics of the related isogeny graphs and elliptic curve endomorphism rings. To address the goals of both training and research, the program will be comprised of keynote speakers and working group sessions.

### Automorphic Forms, Geometry and Arithmetic

rt.representation-theory nt.number-theory ag.algebraic-geometry
2021-08-22 through 2021-08-28
Mathematisches Forschungsinstitut Oberwolfach
Oberwolfach; Germany

Meeting Type: invitational workshop

Contact: see conference website

none

### Georgian Mathematical Union XI Annual International Conference

ag.algebraic-geometry ap.analysis-of-pdes at.algebraic-topology ca.classical-analysis-and-odes co.combinatorics cv.complex-variables dg.differential-geometry fa.functional-analysis gm.general-mathematics gn.general-topology gt.geometric-topology ho.history-and-overview kt.k-theory-and-homology lo.logic mp.mathematical-physics na.numerical-analysis nt.number-theory pr.probability ra.rings-and-algebras st.statistics-theory
2021-08-23 through 2021-08-28
Georgian Mathematical Union, Shota Rustaveli Batumi State University
Batumi, Georgia; Georgia

Meeting Type: International Conference

Contact: Alexander Meskhi, David Natroshvili, Tinatin Davitashvili

none

## September 2021

### Arithmetic Geometry - Takeshi 60

ag.algebraic-geometry nt.number-theory
2021-09-06 through 2021-09-10
Graduate School of Mathematical Sciences, The University of Tokyo
Tokyo; Japan

Meeting Type: conference

Contact: Ahmed Abbes, Kenichi Bannai, Naoki Imai, Tadashi Ochiai, Atsushi Shiho

### Description

A conference on the occasion of Takeshi Saito's 60th birthday

### Arakelov Geometry

ag.algebraic-geometry nt.number-theory
2021-09-06 through 2021-09-10
Universität Regensburg
Regensburg; Germany

Meeting Type: conference (in virtual or hybrid mode)

Contact: Klaus Künnemann

### Description

The conference Arakelov Geometry is organized by José Ignacio Burgos Gil, Walter Gubler, and Klaus Künnemann. This conference constitutes the eleventh session of the Intercity Seminar on Arakelov Theory organized by José Ignacio Burgos Gil, Vincent Maillot and Atsushi Moriwaki with previous sessions in Barcelona, Beijing, Copenhagen, Kyoto, Paris, Regensburg, and Rome.

### 2nd IMA Conference on Mathematics of Robotics

ag.algebraic-geometry at.algebraic-topology gm.general-mathematics gt.geometric-topology
2021-09-08 through 2021-09-10
Manchester Metropolitan University
Manchester; UK

Meeting Type: conference

Contact: Pam Bye

### Description

This Conference has been organised in cooperation with the Society for Industrial and Applied Mathematics (SIAM).

Areas of interest include, but are not limited to: Topology. Kinematics. Algebraic topology of con?guration spaces of robot mechanisms. Topological aspects of path planning and sensor networks. Differential topology and singularity theory of robot mechanism and moduli spaces. Algebraic Geometry. Varieties generated by linkages and constraints. Geometry of stiffness and inertia matrices. Rigid-body motions. Computational approaches to algebraic geometry. Dynamical Systems and Control. Dynamics of robots and mechanisms. Simulation of multi-body systems, e.g. swarm robots. Geometric control of robots. Optimal control and other optimisation problems. Combinatorial and Stochastic Methods. Rigidity of structures. Path planning algorithms. Modular robots. Statistics. Stochastic control. Localisation. Navigation with uncertainty. Statistical learning theory. Cognitive Robotics. Mathematical aspects of Artificial Intelligence, Developmental Robotics and other Neuroscience based approaches.

Invited speakers: Dr Mini Saag – University of Surrey, UK Prof Frank Sottile - Texas A&M University, USA Prof Stefano Stramigioli - University of Twente, The Netherlands

### Six functors formalism and Motivic homotopy theory

ag.algebraic-geometry at.algebraic-topology
2021-09-19 through 2021-09-24
University of Milano
Milano; Italy

Meeting Type: Summer school and conference

Contact: Fabrizio Andreatta, Federico Binda, Alberto Vezzani, Paul Arne Østvaer

### Description

“Six functors formalism and Motivic homotopy theory”

Milano, September 20-24, 2021 Department of Mathematics “F. Enriques”, University of Milano, Milan, Italy.

Sponsored by the University of Milan and the Research Council of Norway within the project “Equations in motivic homotopy”.

The school will include three-mini courses for PhD students and young postdocs:

Minicourses:

• Alberto Canonaco (Pavia)
• Frédéric Déglise (ENS Lyon)
• Martin Gallauer (Oxford)

In addition to research talks by

• Mattia Cavicchi (Strasbourg)
• Alberto Merici (Zurich)
• Mattia Ornaghi (Be'er Sheva)
• Sabrina Pauli (Duisburg-Essen)
• Charanya Ravi (Regensburg)
• Florian Strunk (Regensburg)

Funding for participants is available. Deadline for financial support is July 10th, 2021.

### Representation theory's hidden motives

ag.algebraic-geometry rt.representation-theory
2021-09-27 through 2021-10-01
University of Münster and University of Sydney
Münster and Sydney; Germany

Meeting Type: conference

Contact: Jakob Scholbach

### Description

In recent years, motivic techniques have been applied in several branches of representation theory, for example in geometric and modular representation theory. The goal of this workshop is to bring together researchers in these areas in order to foster new synergies in topics such as foundational aspects of the theory of motives, Tate motives on varieties of representation-theoretic origin, motivic aspects of the Langlands program, and motives of classifying spaces.

## November 2021

### The Maple Conference 2021

ac.commutative-algebra ag.algebraic-geometry co.combinatorics ct.category-theory dg.differential-geometry fa.functional-analysis gm.general-mathematics gr.group-theory
2021-11-02 through 2021-11-05
Maplesoft

Meeting Type: Free virtual conference

Contact: Jennifer Iorgulescu

### Description

The Maple Conference 2021 - Maple in Mathematics Education and Research

This FREE virtual conference is dedicated to exploring different aspects of the math software Maple, including Maple's impact on education, new symbolic computation algorithms and techniques, and the wide range of Maple applications. Attendees will have the opportunity to learn about the latest research, share experiences, and interact with Maple developers.

The conference will take place online, and will include live presentations and discussions as well as recordings and chatrooms, in order to accommodate time zones. Maplesoft staff will also offer Maple training sessions on a variety of topics during the conference.

All presenters at the conference are invited to submit a full paper. These submissions undergo peer-review, and the decision about acceptance or rejection lies with the Program Committee. Accepted papers are published in the conference proceedings.

## January 2022

### Higher Algebraic Structures In Algebra, Topology And Geometry

ag.algebraic-geometry at.algebraic-topology gt.geometric-topology kt.k-theory-and-homology sg.symplectic-geometry
2022-01-10 through 2022-04-29
Institute Mittag-Leffler
Djursholm; Sweden

Meeting Type: research program

Contact: Gregory Arone, Tilman Bauer, Alexander Berglund, Søren Galatius, Jesper Grodal, Thomas Kragh

### Description

We are happy to announce that the Institut Mittag-Leffler will be hosting a research program entitled

"HIGHER ALGEBRAIC STRUCTURES IN ALGEBRA, TOPOLOGY AND GEOMETRY”

from January 10, 2022 to April 29, 2022.

Junior researchers (advanced PhD students or young postdocs) can apply for a fellowship to attend the program, covering all expenses (deadline: December 31, 2020). For all others, the program is by invitation only.

Institut Mittag-Leffler in Danderyd, just north of Stockholm, Sweden, is an international centre for research and postdoctoral training in mathematical sciences. The oldest mathematical research institute in the world, it was founded in 1916 by Professor Gösta Mittag-Leffler and his wife Signe, who donated their magnificent villa, with its first-class library, for the purpose of creating the institute that bears their name.

Junior research fellowships: http://www.mittag-leffler.se/research-programs/junior-fellowship-program

The organizers
Gregory Arone ([email protected])
Tilman Bauer ([email protected])
Alexander Berglund ([email protected])
Søren Galatius ([email protected])
Jesper Grodal ([email protected])
Thomas Kragh ([email protected])

## March 2022

### Rational Points 2022

ag.algebraic-geometry nt.number-theory
2022-03-27 through 2022-04-02
Schney/Lichtenfels, Bavaria; Germany

Meeting Type: workshop

Contact: Michael Stoll

### Description

This workshop aims at bringing together the leading experts in the field, covering a broad spectrum reaching from the more theoretically-oriented over the explicit to the algorithmic aspects. The fundamental problem motivating the workshop asks for a description of the set of rational points X(Q) for a given algebraic variety X defined over Q. When X is a curve, the structure of this set is known, and the most interesting question is how to determine it explicitly for a given curve. When X is higher-dimensional, much less is known about the structure of X(Q), even when X is a surface. So here the open questions are much more basic for our understanding of the situation, and on the algorithmic side, the focus is on trying to decide if a given variety does have any rational point at all.

This is a workshop with about 50 participants. Participation is by invitation. Every participant is expected to contribute actively to the success of the event, by giving talks and/or by taking part in the discussions.

## April 2022

### Periods, motives and differential equations: between arithmetic and geometry, on the occasion of Yves André's 60th++ birthday

ag.algebraic-geometry nt.number-theory
2022-04-11 through 2022-04-15
IHP
Paris; France

Meeting Type: conference

Contact: see conference website

### Description

Periods occur in various branches of mathematics and as the title of our conference indicates, their study intertwines arithmetic, Diophantine analysis, differential equations, and algebraic geometry. Many interesting results have been proved in recent years and many challenging problems on periods are still open. The aim of our conference is to bring together specialists who cover all these different points of view and their ramifications, with special attention towards possible applications to broader areas of the techniques developed in the study of periods and their realizations.

Yves André has contributed in many ways to this ongoing adventure and this conference will not only be the opportunity to listen to a broad range of recent developments in mathematics around the topic of periods, but also to celebrate his 60th birthday.

### Rational points on higher-dimensional varieties

ag.algebraic-geometry nt.number-theory
2022-04-25 through 2022-04-29
ICMS
Edinburgh; UK

Meeting Type: conference

Contact: Daniel Loughran, Rachel Newton, Efthymios Sofos

### Description

The meeting will not be online.

Speakers include: Francesca Balestrieri, Jen Berg, Tim Browning, Yang Cao, Jean-Louis Colliot-Thélène, Jordan Ellenberg, Roger Heath-Brown, Marta Pieropan, Bjorn Poonen, Damaris Schindler, Alexei Skorobogatov, Olivier Wittenberg.

Details: The topic of rational points on varieties over the rational numbers is the modern perspective on the theory of Diophantine equations.

There is a good (partially conjectural) understanding now of the situation for algebraic curves. The proof of the Mordell conjecture for curves of genus at least 2 by Faltings is one of the crowning achievements in the area, and much of the work on elliptic curves is driven by the Birch-Swinnerton-Dyer conjecture. Recent highlights include the work of Bhargava and his collaborators on average ranks of elliptic curves. The situation in higher dimensions is much murkier however.

The aim of the meeting is to bring together leading experts and early career researchers to make progress on understanding rational points on surfaces and higher dimensional varieties. Traditionally there have been two separate communities working in the area, using tools from analytic number theory and algebraic geometry, respectively. Spectacular progress has been made in recent times by managing to bridge these communities, with a particular highlight being applications of Green-Tao-Ziegler's work on primes in arithmetic progressions to the fibration method. The emphasis in the meeting will be on building upon this bridge and further inspiring collaboration between the analytic and geometric communities.

Specific topics to be covered will include the following:

Schinzel's Hypothesis with probability Campana points. Purity of strong approximation. Rational points in families. Brauer--Manin obstruction.

## May 2022

### Franco-Asian Summer School on Arithmetic Geometry in Luminy

nt.number-theory ag.algebraic-geometry
2022-05-30 through 2022-06-03
Centre International de Rencontres Mathématiques (CIRM)
Marseille; France

Meeting Type: conference

Contact: Ahmed Abbes

### Description

Arithmetic geometry is a broad and central area of Mathematics. The summer school will focus on a number of areas of important progress over the last three or four years, notably: p-adic Hodge theory, Ramification of étale l-adic sheaves, Homotopical algebra techniques and applications to motives and epsilon factors. The summer school will consist of 4 mini-courses supplemented by ten one-hour lectures.

## June 2022

### Homotopy theory with applications to arithmetic and geometry [European side]

ag.algebraic-geometry at.algebraic-topology gt.geometric-topology nt.number-theory
2022-06-27 through 2022-06-30
Max Planck Institute
Bonn; Germany

Meeting Type: twinned conference (see description)

Contact: Aaron Mazel-Gee

### Description

The field of homotopy theory originated in the study of topological spaces up to deformation, but has since been applied effectively in several other disciplines. Indeed, homotopical ideas lead to the resolution of several long-standing open conjectures, for instance on smooth structures on spheres, the moduli of curves, and the cohomology of fields. More recently, Bhatt, Morrow, and Scholze used homotopical methods to compare different cohomology theories for algebraic varieties, thereby resolving open questions in arithmetic geometry. In a similarly arithmetic vein, Galatius and Venkatesh initiated the study of Galois representations with homotopical means, whereas Clausen and Scholze revisited the foundations of analytic topology. These and other recent developments in the interface of arithmetic and topology opened up new lines of attack towards classical open questions, which sparked a wide range of current research activities. This conference intends to survey some of the most spectacular recent advances in the fields, thereby paving the way to new developments and future interactions. Our goal is to foster scientific exchange and collaboration between established researchers, emerging leaders, early career mathematicians, and graduate students.

This will be a split transatlantic conference taking place at the Fields Institute in Canada and the Max Planck Institute for Mathematics in Germany, with videoconferencing connections in place to help collaboration.

### Homotopy theory with applications to arithmetic and geometry [North American side]

nt.number-theory gt.geometric-topology at.algebraic-topology ag.algebraic-geometry
2022-06-27 through 2022-06-30
Fields Institute

Meeting Type: twinned conference (see description)

Contact: Aaron Mazel-Gee

### Description

The field of homotopy theory originated in the study of topological spaces up to deformation, but has since been applied effectively in several other disciplines. Indeed, homotopical ideas lead to the resolution of several long-standing open conjectures, for instance on smooth structures on spheres, the moduli of curves, and the cohomology of fields. More recently, Bhatt, Morrow, and Scholze used homotopical methods to compare different cohomology theories for algebraic varieties, thereby resolving open questions in arithmetic geometry. In a similarly arithmetic vein, Galatius and Venkatesh initiated the study of Galois representations with homotopical means, whereas Clausen and Scholze revisited the foundations of analytic topology. These and other recent developments in the interface of arithmetic and topology opened up new lines of attack towards classical open questions, which sparked a wide range of current research activities. This conference intends to survey some of the most spectacular recent advances in the fields, thereby paving the way to new developments and future interactions. Our goal is to foster scientific exchange and collaboration between established researchers, emerging leaders, early career mathematicians, and graduate students.

This will be a split transatlantic conference taking place at the Fields Institute in Canada and the Max Planck Institute for Mathematics in Germany, with videoconferencing connections in place to help collaboration.

### 7th IMA Conference on Numerical Linear Algebra and Optimization

ag.algebraic-geometry gm.general-mathematics
2022-06-29 through 2022-07-01
University of Birmingham
Birmingham; UK

Meeting Type: conference

Contact: Pam Bye

### Description

The success of modern codes for large-scale optimization is heavily dependent on the use of effective tools of numerical linear algebra. On the other hand, many problems in numerical linear algebra lead to linear, nonlinear or semidefinite optimization problems. The purpose of the conference is to bring together researchers from both communities and to find and communicate points and topics of common interest. This Conference has been organised in cooperation with the Society for Industrial and Applied Mathematics (SIAM). Conference topics include any subject that could be of interest to both communities, such as: • Direct and iterative methods for large sparse linear systems. • Eigenvalue computation and optimization. • Large-scale nonlinear and semidefinite programming. • Effect of round-off errors, stopping criteria, embedded iterative procedures. • Optimization issues for matrix polynomials • Fast matrix computations. • Compressed/sparse sensing • PDE-constrained optimization • Distributed computing and optimization • Applications and real time optimization Invited Speakers Invited Speakers to be confirmed shortly. Registration Registration is currently open at https://my.ima.org.uk/ If you are an IMA Member or you have previously registered for an IMA conference, then you are already on our database. Please “request a new password” using the email address previously used, to log in. Call for Papers and Mini-Symposiums Mini-symposium proposals and contributed talks are invited on all aspects of numerical linear algebra and optimization. Mini-symposium proposals should be submitted to [email protected] by 31 January 2022. A mini-symposium consists of up to four speakers. For emerging topics the mini-symposium can be extended to at most two sessions on a single topic (maximum eight speakers). Organisers will be advised of acceptance by 14 February 2022. Contributed talks and mini-symposia talks will be accepted on the basis of a one page extended abstract which should be submitted by 28 February 2020 online at http://online.ima.org.uk/ or by e-mail to [email protected] Authors will be advised of acceptance by 31 March 2022. A book of abstracts will be made available to delegates at the conference. Key deadlines Mini-symposia proposals: 31 January 2022 Notification of acceptance of mini-symposia: 14 February 2022 Abstract submission: 28 February 2022 Notification of acceptance of abstracts: 31 March 2022 Authors will be advised of acceptance by 31 March 2022. A book of abstracts will be made available to delegates at the conference.

Early Bird Conference Fees IMA/SIAM Member - £395.00 Non IMA/SIAM Member - £450.00 IMA/SIAM Student - £215.00 Non IMA/SIAM Student - £225.00 Conference Fees will increase by £20 on 22 May 2022 Day Delegate rate: A Day Delegate rate is also available for this Conference if you would like to attend one of the scheduled Conference days. If you would like to find out more information about our Day Delegate rate, please contact us at [email protected]

Accommodation The IMA have booked accommodation at Edgbaston Park Hotel on hold for delegates on a first-come, first-serve basis. The room is £90 Single occupancy, B&B which will be available to book until 16/05/2022. If you are interested in booking at this rate, please contact the Conferences Department for the booking code.

Organising Committee Michal Kocvara, University of Birmingham (co-chair) Daniel Loghin, University of Birmingham (co-chair) Coralia Cartis, University of Oxford Nick Gould, Rutherford Appleton Laboratory Philip Knight, University of Strathclyde Jennifer Scott, Rutherford Appleton Laboratory Valeria Simoncini, University of Bologna Contact information For general conference queries please contact the Conferences Department, Institute of Mathematics and its Applications, Catherine Richards House, 16 Nelson Street, Southend-on-Sea, Essex, SS1 1EF, UK. E-mail: [email protected] Tel: +44 (0) 1702 354 020

## July 2022

### Spec$(\overline{Q})$

ac.commutative-algebra ag.algebraic-geometry nt.number-theory
2022-07-06 through 2022-07-08
Fields Institute

Meeting Type: conference

Contact: see conference website

### Description

Spec(Q¯¯¯¯) is the first conference to celebrate and promote research advances of LGBT2Q mathematicians specialising in algebraic geometry, arithmetic geometry, commutative algebra, and number theory. This conference capitalises on recent thematic program successes in algebraic geometry at Fields, the Thematic Program on Combinatorial Algebraic Geometry (July 1 - December 31, 2016) and the Thematic Program on Homological Algebra of Mirror Symmetry (July 1 - December 31, 2019). Spec(Q¯¯¯¯) will create an empowering and engaging environment which provides LGBT2Q visibility in algebraic geometry, will support junior LGBT2Q 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 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¯¯¯¯) will be aimed a general algebro-geometric audience.

This activity will bring together mathematicians spanning all academic ranks to create ideal networking and mentorship for LGBT2Q academics while disseminating key achievements of trans and queer algebraic geometers. Queer and trans academics often have a diffcult experience developing key collaborations and networks of trusted colleagues. Each research connection, grant, and application involves a conscious decision of how much of one’s queer/trans identity to disclose. This conference provides a safe space to develop ones network while removing these barriers. In such spaces, one can discuss mathematics with new colleagues while unbridled with many societal challenges that they face in mathematical communities. When a mathematician feels free to be themselves in all ways, they are able to immerse themselves in creative mathematical thought.

## September 2022

ag.algebraic-geometry nt.number-theory
2022-09-19 through 2022-09-23

Meeting Type: conference

Contact: see conference website

none

## January 2023

### Algebraic Cycles, L-Values, and Euler Systems

nt.number-theory ag.algebraic-geometry
2023-01-17 through 2023-05-26
MSRI
Berkeley, CA; USA

Meeting Type: conference

Contact: see conference website

### Description

The fundamental conjecture of Birch and Swinnerton-Dyer relating the Mordell–Weil ranks of elliptic curves to their L-functions is one of the most important and motivating problems in number theory. It resides at the heart of a collection of important conjectures (due especially to Deligne, Beilinson, Bloch and Kato) that connect values of L-functions and their leading terms to cycles and Galois cohomology groups.

The study of special algebraic cycles on Shimura varieties has led to progress in our understanding of these conjectures. The arithmetic intersection numbers and the p-adic regulators of special cycles are directly related to the values and derivatives of L-functions, as shown in the pioneering theorem of Gross-Zagier and its p-adic avatars for Heegner points on modular curves. The cohomology classes of special cycles (and related constructions such as Eisenstein classes) form the foundation of the theory of Euler systems, providing one of the most powerful methods known to prove vanishing or finiteness results for Selmer groups of Galois representations.

The goal of this semester is to bring together researchers working on different aspects of this young but fast-developing subject, and to make progress on understanding the mysterious relations between L-functions, Euler systems, and algebraic cycles.

### Diophantine Geometry

ag.algebraic-geometry nt.number-theory
2023-01-17 through 2023-05-26
MSRI
Berkeley, CA; USA

Meeting Type: thematic program

Contact: see conference website

### Description

Number Theory concerns the study of properties of the integers, rational numbers, and other structures that share similar features. It is a central branch of mathematics with a well-known feature: it is often the case that easy-to-state problems in number theory turn out to be exceedingly difficult (e.g. Fermat’s Last Theorem), and their study leads to groundbreaking discoveries in other fields of mathematics.

A fundamental theme in number theory concerns the study of integer and rational solutions to Diophantine equations. This topic originated at least 3,700 years ago (as documented in babylonian clay tablets) and it has evolved into the highly sophisticated field of Diophantine Geometry. There are deep and fruitful interactions between Diophantine Geometry and seemingly distant fields such as representation theory, algebraic geometry, topology, complex analysis, and mathematical logic, to mention a few. In recent years, these connections have led to a large number of new results and, specially, to the partial or complete resolution of important conjectures in the field.

While the study of rational solutions of diophantine equations initiated thousands of years ago, our knowledge on this subject has dramatically improved in recent years. Especially, we have witnessed spectacular progress in aspects such as height formulas and height bounds for algebraic points, automorphic methods, unlikely intersection problems, and non-abelian and p-adic approaches to algebraic degeneracy of rational points. All these groundbreaking advances in the study of rational and algebraic points in varieties will be the central theme of the semester program “Diophantine Geometry” at MSRI. The main purpose of this program is to bring together experts as well as enthusiastic young researchers to learn from each other, to initiate and continue collaborations, to update on recent breakthroughs, and to further advance the field by making progress on fundamental open problems and by developing further connections with other branches of mathematics. We trust that younger mathematicians will greatly contribute to the success of the program with their new ideas. It is our hope that this program will provide a unique opportunity for women and underrepresented groups to make outstanding contributions to the field, and we strongly encourage their participation.

## May 2023

### The Arithmetic of the Langlands Program

ag.algebraic-geometry nt.number-theory rt.representation-theory
2023-05-02 through 2023-08-18
Bonn; Germany

Meeting Type: thematic program

Contact: see conference website

none

## September 2023

### Special year on p-adic arithmetic geometry

ag.algebraic-geometry nt.number-theory
2023-09-01 through 2024-04-30