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

## October 2021

### Cohomology of Arithmetic Groups: Duality, Stability, and Computations

gr.group-theory gt.geometric-topology nt.number-theory
2021-10-10 through 2021-10-15
Banff International Research Station

Meeting Type: conference

Contact: see conference website

### Description

The cohomology of arithmetic groups is the study of the properties of holes'' in geometric spaces that contain information about number theory. The workshop will bring together mathematicians with expertise in number theory, topology, and geometric group theory to tackle these problems and explore recent developments.

### Workshop on Special Geometries on Riemannian Manifolds

dg.differential-geometry mp.mathematical-physics sg.symplectic-geometry
2021-10-11 through 2021-10-15
Centre de Recherches Mathématiques

Meeting Type: Workshop (hybrid: both virtual and in-person)

Contact: Spiro Karigiannis

### Description

The scientific focus of this workshop will be on Riemannian manifolds endowed with special geometric structures, such as almost hermitian manifolds, contact metric manifolds, G2 and Spin(7) manifolds, including their wide applications in various areas of mathematical physics. An interesting aspect of this area is that, though rooted in differential geometry, it has deep and extensive interactions with complex (algebraic) geometry, and global analysis. Also, it has become clear recently that techniques borrowed from symplectic and contact geometry are useful in metric problems as well.

It is our goal to bring together leading experts from the aforementioned areas, as well as promising students and young researchers, in order to create an open learning environment and the ground for a fruitful exchange of ideas, with the goal of creating new visions and collaborations between experts and students alike.

### Online Event: IMA Early Career Mathematicians’ Autumn Conference 2021

gm.general-mathematics
2021-10-23 through 2021-10-23
Institute of Mathematics and its Applications
Online via zoom; UK

Meeting Type: online conference

Contact: Pamela Bye

### Description

This is a perfect opportunity to learn about fascinating areas of mathematics (and their applications) from people that work on them, whilst also providing you the chance to become more involved with a professional body of mathematics. There will be plenty of time to network during the conference at our Virtual Coffee Breaks, allowing you the opportunity to meet people with similar interests and find out more about the wide range of careers that are available.

Invited Speakers Eugenie Hunsicker Shamia Sanjania Rachael Addy Karrie Liu Claire Cornock

Programme 13:00 – 13:10 – Welcome and Introduction 13:10 – 13:50 – Plenary 13:50 – 14:30 – Parallel session 14:30 – 15:00 – Virtual Coffee Break 15:00 – 16:30 – Parallel session 16:30 – 17:10 – TBC 17:10 – Closing Registration Registration for this event is now open on the MyIMA Portal - https://my.ima.org.uk/item.php?eventid=320

### Upstate Number Theory Conference

nt.number-theory
2021-10-23 through 2021-10-24
Union College

Meeting Type: conference

Contact: Jeffrey Hatley

### Description

The Tenth Annual Upstate Number Theory Conference will take place Saturday, October 23 & Sunday, October 24, 2021, in-person on the campus of Union College in Schenectady, NY.

A primary goal of the Upstate Number Theory Conference is to bring together the specialists from the various branches of Number Theory in the Upstate New York region and surrounding areas, and to expose younger researchers to new and old problems in the field.

### Virtual Special Session on Equivariant and Motivic Homotopy Theory

at.algebraic-topology
2021-10-23 through 2021-10-24
AMS
Virtual; USA

Meeting Type: special session

Contact: Christy Hazel, Mike Hill

### Description

The AMS Special Session “Equivariant and Motivic Homotopy Theory” at the virtual Fall Western Sectional Meeting is taking place on Saturday, October 23rd and Sunday, October 24th. The speakers for the session are:

Sarah Yeakel (University of California, Riverside), Kelly Pohland (University of Oregon), Sarah Petersen (University of Notre Dame), Beren Sanders (University of California, Santa Cruz), Angélica M Osorno (Reed College), Christian Carrick (UCLA), Carissa Slone (University of Kentucky), Kyle Ormsby (Reed College), Eva Belmont (UC San Diego), Hana Jia Kong (Institute for Advanced Study), Robert C. Housden, Jr. (University of California, Los Angeles), and Zhouli Xu (University of California, San Diego).

The full schedule with titles and abstracts, as well as registration info can be found here:

http://www.ams.org/meetings/sectional/2283_program_ss22.html#title

## 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.

### BUGCAT Conference

at.algebraic-topology co.combinatorics gr.group-theory gt.geometric-topology
2021-11-06 through 2021-11-14
Binghamton University
Binghamton NY; USA

Meeting Type: Online Conference

Contact: Meenakshy Jyothis

### Description

The fourteenth Annual Binghamton University Graduate Combinatorics Algebra and Topology Conference (BUGCAT Conference) will meet November 6-7 and November 13-14, 2021 online. Graduate students at all levels, as well as faculty, are invited to give a 30-minute talk; talks may be expository or on current research. The deadline for submitting talks is October 15. This year, we have three distinguished keynote speakers: Tara Holm (Cornell Univsersity), Dandrielle Lewis (High Point Univsersity) and Inna Zakharevich (Cornell University).

Event Contact and Website Info: http://seminars.math.binghamton.edu/BUGCAT/index.html

## 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

### Automorphic Forms Beyond GL_2

ag.algebraic-geometry nt.number-theory rt.representation-theory
2022-03-05 through 2022-03-09
University of Arizona
Tucson, AZ; USA

Meeting Type: conference

Contact: see conference website

none

### 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

### Cornell Topology Festival

at.algebraic-topology gr.group-theory gt.geometric-topology
2022-05-06 through 2022-05-08
Cornell University
Ithaca, NY; USA

Meeting Type: conference

Contact: Timothy Riley

### Description

The Cornell Topology Festival is a three-day annual conference showcasing recent developments in topology and allied areas.

### Leuca2022 Celebrating Claude Levesque's Damien Roy's and Michel Waldschmidt's birthdays

nt.number-theory
2022-05-16 through 2022-05-21
Marina di San Gregorio, Patù (Lecce), Italy; Italy

Meeting Type: conference

Contact: Valerio Talamanca

none

### La grandezza dei punti piccoli Celebrating Francesco Amoroso's 60th birthday

nt.number-theory
2022-05-23 through 2022-05-25
Universita' di Pisa
PISA; Italy

Meeting Type: conference

Contact: Valerio Talamanca

none

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

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

Meeting Type: summer school

Contact: Ahmed Abbes

### Description

The Franco-Asian summer school on arithmetic geometry is a continuation of the many fruitful joint France-Asia events that have taken place since the Asian Year on Motives initiated by Jean-Marc Fontaine at IHES in 2006. These collaborations have had a considerable impact on the international development of fundamental branches of arithmetic geometry. This new event, organized at CIRM, will be open to students and young researchers from all over the world. It will consist in four mini-courses and several lectures.

Pre-registration on the web is mandatory for all participants who wish to attend the summer school in person at CIRM. The number of participants is limited to 90. Please complete the pre-registration form here:

## June 2022

### BRIDGES: Building Relationships for an Inclusive and Diverse Group of Emerging Students

nt.number-theory ag.algebraic-geometry ac.commutative-algebra
2022-06-07 through 2022-06-10
Salt Lake City, UT; USA

Meeting Type: conference

Contact: see conference website

### Description

This conference is aimed towards early graduate students and advanced undergraduate students interested in algebraic geometry, commutative algebra, geometric group theory, and number theory.

The goal of this conference is to:

Foster a sense of community amongst underrepresented groups in mathematics,
Introduce possible research areas,
Expose the participants to role models and possible mentors.


We have funding to provide for travel and accommodation for about 40 participants, priority is given to participants from underrepresented groups. An application for funding will be available soon.

This conference is part of the RTG: Algebra, Geometry and Topology at the University of Utah funded by the NSF RTG grant #1840190.

### 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

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.

### Homotopical Methods in Fixed Point Theory

at.algebraic-topology
2022-07-11 through 2022-07-15
Boulder, CO; USA

Meeting Type: summer school

Contact: Agnes Beaudry, Kate Ponto, Dylan Wilson

### Description

Description The goal of this summer school is to introduce participants to tools and ideas from algebraic topology and homotopy theory that are used in the study of fixed point theory. The workshop will be centered around mini-courses, both on classical fixed-point theory and on modern techniques such as duality theory, spectra, and trace methods in algebraic K-theory.

The intended audience for this summer school should be familiar with the material in Hatcher (except the appendices). This reflects our goal that the school be accessible to second and third year students with an interest in algebraic topology. The school will be structured around a few mini-courses, which will run in an active-learning style.

### Summer School on the Langlands Program

ag.algebraic-geometry nt.number-theory rt.representation-theory
2022-07-11 through 2022-07-29
IHES
Bures-sur-Yvette; France

Contact: see conference website

### Description

new description:

It has been almost 45 years since the influential summer school held in Corvallis, Oregon in 1977 brought together the leading experts of the Langlands program and defined the research agenda in this area for subsequent decades, at the same time inspiring and enabling several generations of young researchers to join in this exciting journey. This 3-week IHES summer school aims to do the same for the next phase of development in the Langlands program.

Recent decades have brought tremendous progress on the project of endoscopy, the extension of the Langlands program to the “relative” setting of spherical varieties and other related spaces, numerous successful “explicit” methods (such as the theta correspondence) to construct functoriality, novel ideas “beyond endoscopy”, and arithmetic applications of both the theta correspondence and the relative trace formula to the study of special cycles and their generating series. Ideas from the geometric Langlands program have begun impacting and enriching the classical Langlands program in significant ways. In particular, the idea that the “space of Langlands parameters” is not just a set, but a (putative) geometric space, can be used to organize a lot of developments around reciprocity, including the Taylor–Wiles method, derived structures, the Langlands correspondence over function fields, and the geometrization of the local Langlands conjecture.

The summer school will attempt to bring these exciting new directions together and explore their interactions.

### Park City Mathematics Institute: Number theory informed by computation

nt.number-theory
2022-07-17 through 2022-08-06
IAS/PCMI
Park City, UT; USA

Meeting Type: conference and summer school

Contact: Bjorn Poonen

none

## August 2022

### Galois representations and automorphic forms

ag.algebraic-geometry nt.number-theory rt.representation-theory
2022-08-07 through 2022-08-13
Banach Center
Będlewo; Poland

Meeting Type: conference

Contact: see conference website

none

### Women in Numbers Europe - 4

nt.number-theory
2022-08-29 through 2022-09-02
Utrecht University
Utrecht; Netherlands

Meeting Type: workshop

Contact: Ramla Abdellatif, Valentijn Karemaker, Ariane Mézard

### Description

This is a workshop that aims to support new collaborations for women in number theory. Prior to the conference, the project leaders will design projects and provide background reading and references for their groups. Each participant will be assigned to a working group according to her research interests. During the workshop there will be some talks and career-development activities, but there will also be ample time dedicated to working in the working groups.

### Automorphic forms

ag.algebraic-geometry nt.number-theory rt.representation-theory
2022-08-29 through 2022-12-31
Rényi Institute
Budapest; Hungary

Meeting Type: thematic program

Contact: see conference website

### Description

The theory of automorphic forms is a dynamically expanding part of number theory with an increasing number of connections and applications to other branches of mathematics as well as physics. Research is driven by long standing conjectures and unexpected breakthroughs.

The purpose of this special semester is to bring together established researchers as well as those just starting their careers or studies. We would like to provide a rich and stimulating environment for interactions. There will be ample opportunity for the participants to present classical results and new developments. It is hoped that visits within this program will lead to further collaborations and progress.

## September 2022

### Autumorphic forms

ag.algebraic-geometry nt.number-theory rt.representation-theory
2022-09-05 through 2022-09-09
Rényi Institute
Budapest; Hungary

Meeting Type: conference

Contact: see conference website

### Description

none

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

Meeting Type: conference

Contact: see conference website

none

## October 2022

### Conference on Arithmetic Algebraic Geometry

ag.algebraic-geometry nt.number-theory
2022-10-03 through 2022-10-07

Meeting Type: conference

Contact: Ulrich Görtz

none

### Motives, quadratic forms and arithmetic

ag.algebraic-geometry kt.k-theory-and-homology nt.number-theory
2022-10-24 through 2022-10-28
Université d'Artois
Lens; France

Meeting Type: conference

Contact: Baptiste Calmès

### Description

A conference in honor of Bruno Kahn's 64th birthday

## January 2023

### Arithmetic Statistics: Discovering and Proving Randomness in Number Theory

ag.algebraic-geometry nt.number-theory
2023-01-01 through 2023-06-30
Luminy; France

Meeting Type: thematic program

Contact: see conference website

none

### 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.

## March 2023

### Shimura Varieties and L-functions

ag.algebraic-geometry nt.number-theory rt.representation-theory
2023-03-13 through 2023-03-17
MSRI
Berkeley, CA; USA

Meeting Type: conference

Contact: see conference website

### Description

The topical workshop will be dedicated to Shouwu Zhang, to mark the occasion of his 60th birthday, and to honour his numerous beautiful contributions to the theory of Shimura varieties and special values of L-functions. It will highlight cutting edge work on topics such as the construction of Euler systems; relations between special cycles on Shimura varieties and L-functions, such as generalized Gross-Zagier formulas and the Tate conjecture; the construction of Galois representations in cohomology; and related aspects of the theory of automorphic forms.

## 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

### Description

The Langlands program aims to relate systems of polynomial equations with integer coefficients to automorphic forms, i.e. functions on symmetric spaces with a large number of discrete symmetries. The focus of the trimester will be on some manifestations of this program, including:

moduli spaces of shtukas
p-adic techniques in local Langlands and the relation to geometric Langlands
Shimura varieties and more general spaces in global Langlands


## July 2023

### LuCaNT: LMFDB, Computation, and Number Theory

ag.algebraic-geometry nt.number-theory
2023-07-10 through 2023-07-14
ICERM
Providence, RI; USA

Meeting Type: conference

Contact: Andrew V. Sutherland

### Description

This will be a one week conference broadly focused on the topics of the LMFDB, mathematical databases, computation, number theory, and arithmetic geometry. The conference will include invited talks, presentations by authors of papers submitted to the conference and selected by the scientific committee following peer-review, as well as time set aside for research and collaboration. We plan to publish a proceedings volume that will include all of the accepted papers.

## September 2023

### Special year on p-adic arithmetic geometry

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