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Upcoming Meetings

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August 2020

Decidability, definability and computability in number theory

ag.algebraic-geometry lo.logic nt.number-theory
2020-08-17 through 2020-12-18
MSRI
Berkeley, CA; USA

Meeting Type: research program

Contact: see conference website

Description

This program is focused on the two-way interaction of logical ideas and techniques, such as definability from model theory and decidability from computability theory, with fundamental problems in number theory. These include analogues of Hilbert's tenth problem, isolating properties of fields of algebraic numbers which relate to undecidability, decision problems around linear recurrence and algebraic differential equations, the relation of transcendence results and conjectures to decidability and decision problems, and some problems in anabelian geometry and field arithmetic. We are interested in this specific interface across a range of problems and so intend to build a semester which is both more topically focused and more mathematically broad than a typical MSRI program.

Number Theory-Cohomology in Arithmetic

ag.algebraic-geometry nt.number-theory rt.representation-theory
2020-08-31 through 2020-12-11
Centre de recherches mathématiques
Montreal, QC; Canada

Meeting Type: thematic research program

Contact: see conference website

Description

Homological tools and ideas are pervasive in number theory. To defend this assertion, it suffices to evoke the role of étale cohomology in the study of the zeta functions of varieties over finite fields through the Weil conjectures, or the cohomological approach to class field theory formulated by Artin and Tate in the 1950's. The theory of motives, a manifestation of a universal cohomology theory attached to algebraic varieties, and the attendant motivic cohomology plays a central role in describing the special values of L-functions of varieties over number fields, via the conjectures of Deligne, Beilinson-Bloch, and Bloch-Kato. Much progress in the Langlands program exploits the fruitful connection between automorphic representations and the cohomology of associated Shimura varieties and more general arithmetic quotients of locally symmetric spaces. The study of special values of L-functions and the Langlands program, widely perceived as two fundamental yet seperate strands of the subject in the early 1990's, were beautifully unified in Wiles' epoch-making proof of the Shimura-Taniyama conjecture, in which this conjecture was reduced to a special instance of the Bloch-Kato conjecture for the symmetric square motive of an elliptic curve. Recent years have seen great strides in our understanding of the cohomology of the arithmetic quotients arising in the study of automorphic representations, spurred in part by the desire to extend the range of applicability of the celebrated Taylor-Wiles method. This has led to new automorphy and potential automorphy results: most spectacularly, perhaps, for abelian surfaces, as well as elliptic curves over general CM fields.

November 2020

Langlands Program: Number Theory and Representation Theory

ag.algebraic-geometry nt.number-theory rt.representation-theory
2020-11-29 through 2020-12-04
Casa Matemática Oaxaca (CMO)
Oaxaca; Mexico

Meeting Type: conference

Contact: see conference website

Description

The Casa Matemática Oaxaca (CMO) will host the "Langlands Program: Number Theory and Representation Theory" workshop in Oaxaca, from November 29 to December 04, 2020.

Langlands functoriality conjectures predict a vast generalization of the classical reciprocity laws of Class Field Theory, providing crossroads between Number Theory and Representation Theory. The conjectures are both local and global and pertain a connected reductive group and its Langlands dual group.

We aim to introduce young mathematicians in M\'exico and Latin-America to topics of current research in the Langlands Program. We will also promote the participation women and of graduate students from a diverse background in a workshop where experts in the field from across the world will gather to expand upon the frontiers of current research. In addition to research talks, there will be three courses that will also be accessible to mathematicians working in closely related fields.

December 2020

ALGECOM 20

ac.commutative-algebra ag.algebraic-geometry co.combinatorics gr.group-theory ra.rings-and-algebras rt.representation-theory
2020-12-01 through 2020-12-04
DePaul University
Chicago, IL; USA

Meeting Type: conference

Contact: Kyle Petersen, Sarah Bockting-Conrad

Description

ALGECOM is a conference series hosted by a collection of Midwestern universities, featuring talks aimed at early career researchers (graduate students and postdocs) in ALgebra, GEometry, and COMbinatorics, widely interpreted.

This year the event is being held remotely, and instead of a one day event, the talks are spread over four days. Interested participants should visit the website to register. The Zoom link for talks will only be shared with registered participants.

https://sites.google.com/site/algecomday/algecom-xx

2020 Canadian Mathematical Society Winter Meeting

ag.algebraic-geometry co.combinatorics ds.dynamical-systems fa.functional-analysis nt.number-theory oa.operator-algebras pr.probability st.statistics-theory
2020-12-03 through 2020-12-08
Canadian Mathematical Society
Virtual ; Canada

Meeting Type: conference

Contact: Sarah Watson

Description

In response to the COVID-19 pandemic, the Canadian Mathematical Society (CMS) has decided that the 2020 Winter Meeting will take place virtually from December 3-8, 2020.

The 2020 CMS Winter meeting will be connecting our mathematical community online. Everything will take place on a single platform where you can jump effortlessly between sessions, community discussions and virtual lounges. If you are familiar with Zoom you will be able to easily participate in our plenaries, sessions, and panels.

The virtual platform will be available on your web browser or mobile device. You do not need to download the app to access the platform on your web browser.

If you register, you will be sent an email before the meeting containing your code to access the 2020 CMS Virtual Winter Meeting.

PAlmetto Joint Arithmetic, Modularity, and Analysis Series (PAJAMAS)

nt.number-theory
2020-12-05 through 2020-12-06
University of South Carolina
Worldwide via Zoom; USA

Meeting Type: conference

Contact: Frank Thorne

Description

The online version of PANTS (the Palmetto Number Theory Series), a regional conference series based in the US Southeast. Weekend number theory conference with four invited talks. We will have contributed talk sessions, social events, and a panel discussion. All are welcome!

p-adic cohomology, p-adic families of modular forms, and p-adic L-functions

ag.algebraic-geometry nt.number-theory
2020-12-07 through 2020-12-11
Centre de recherches mathématiques
Montreal, QC; Canada

Meeting Type: conference

Contact: see conference website

Description

The workshop will be devoted to the varied and fruitful interactions between p-adic cohomology theories, the theory of p-adic deformations of modular forms and Galois representations, and the construction of p-adic L-functions arising from the latter using techniques drawn from the former, with special emphasis on their rich array of arithmetic applications.

The field of p-adic automorphic forms has seen a huge development in the last decades with the construction of p-adic families in many new context. Among this one can cite Hansen's construction of eigenvarieties using overconvergent cohomology, and the coherent approach using (partial) Igusa towers of Andreatta–Iovita–Pilloni. There have been immediate applications to the construction of p-adic L-functions in families and to the proof of several instances of the conjectures by Greenberg and Benois on trivial zeroes, such as the work of Barrera–Dimitrov–Jorza.

But the existence of these eigenvarieties have proved to be useful also for the study of many other interesting arithmetic problems.

The first example is given by the applications to the Bloch–Kato conjecture. Bloch and Kato conjectured that the most interesting arithmetic information concerning varieties (and more generally, geometric Galois representations) are contained in two objects: the Selmer group and the L-function. They also conjecture that all the information coming from the Selmer group can be recovered from the L-function. Some special cases of this conjecture have been proven: we cite for example the work of Bellaiche–Chenevier for unitary groups and Skinner–Urban for elliptic curves in rank less or equal than 2. The key ingredients in these works is the use of deformations of automorphic forms and their Galois representations in p-adic families to construction elements in the Selmer group.

Another example is the study of local properties of Galois representations and the corresponding p-adic Hodge theory. We cite the work of Kedlaya, Pottharst, and Xiao concerning the existence of triangulations in families for p-adic representations of p-adic fields arising from finite slope automorphic forms. Other related results are the works on the smoothness of eigenvarieties at critical points by Bergdall and Breuil–Hellmann–Schraen; it has implication on the existence of companion forms, which are different p-adic automorphic forms sharing the same Galois representations (such as a CM form and its Serre antiderivative).

Very recently two new geometric approaches have been developed in the study of p-adic families and their L-functions.

Andreatta and Iovita introduced the idea of vector bundles with marked sections, which not only allows one to recover their previous constructions of eigenvarieties but let them p-adic interpolate in families the de Rham cohomology of the modular curve and the Gauss–Manin connection. They can then construct triple product p-adic L-functions for finite slope families and anticyclotomic p-adic L-functions when p is inert in the CM field.

At the same time, the introduction of perfectoid spaces and adic geometric has brought new and fresh ideas in the field: one can cite the new construction of classical eigenvarieties by Chojecki–Hansen–Johansson using functions on the perfectoid tower of modular curves and the construction by Kriz of a new p-adic Maass–Shimura operator and anticyclotomic p-adic L-functions in the inert case. His strategy relies on Scholze's Hodge to de Rham comparison isomorphism, which has been recently upgraded to an integral comparison map by Bhatt–Morrow–Scholze.

These new geometric tools have already allowed the construction of new p-adic L-functions; the aim of the workshop is to bring together arithmetic people with the experts in these two innovative approaches to find new exciting applications, both to global (Galois representations and their L-functions) and local (integral p-adic Hodge theory) problems.

Tropical Geometry, Berkovich Spaces, Arithmetic D-Modules and p-adic Local Systems

ag.algebraic-geometry at.algebraic-topology nt.number-theory
2020-12-07 through 2020-12-11
Imperial College of London
London UK; France

Meeting Type: conference (VIRTUAL)

Contact: Andrea Pulita, Ambrus Pal

Description

The theory of Berkovich spaces is a powerful and elegant approach to analytic geometry over non-archimedean fields. Over the past decade it has found many striking applications in areas such as arithmetic geometry, p-adic differential equations, and dynamics. Running through many of these recent developments is a thread of tropical geometry. In some cases the tropical link is already firmly established, while in others it is not yet more than a promising hint. Our view is that there is now an exciting potential to forefront the role of Tropical geometry while exploring the application of Berkovich theory in the intersecting areas of arithmetic D-modules, non-archimedean representation theories and p-adic local systems. This conference brings together leading experts in each of these areas in order to energize this vision and establish appropriate links.

With this workshop we would like to promote the interaction between the following five fields:

Berkovich spaces Tropical geometry p-adic differential equations Arithmetic D-modules and representations of p-adic Lie groups Arithmetic applications of p-adic local systems

While the first two are already tightly linked, the role of Berkovich spaces in the last ones is only emerging and within this, the role of tropical geometry has not yet been explored. More generally, we consider this conference to be a good opportunity to study new techniques recently introduced into the field. We are convinced that each of these areas has plenty of potential and that a fruitful interaction between them might nourish their development. The aim of the conference is precisely to give leading experts in these each of these domains the opportunity to meet, present their last results and open challenges, and encourage an exchange that will drive forward these exciting and rapidly developing subjects.

FORMAT : The format of the conference changed due to the conditions related to the pandemic and the impossibility to maintain the funding for a further date. Unfortunately, for the same reasons, some of the original speakers have been obliged to canceled their participation. The list is not stable for the moment (we will be more precise about that as soon as possible).

In order to increase the connections between the participants, the new format includes chats and virtual rooms where everybody can ask questions about the talks. The talks are uploaded or performed in streaming.

Organizers:

Andrea Pulita (Université Grenoble Alpes, France) Ambrus Pal (Imperial College of London, UK)

Scientific Committee:

Konstantin Ardakov (Oxford University, UK) Jeffrey Giansiracusa (Swansea University, UK) Jérôme Poineau (Université de Caen Normandie, France)

Number Theory and Representations

nt.number-theory rt.representation-theory
2020-12-15 through 2020-12-18
Pontificia Universidad Católica de Valparaíso
Valparaíso (online); Chile

Meeting Type: conference

Contact: see conference website

Description

none

January 2021

Moduli spaces and Modular forms

nt.number-theory ag.algebraic-geometry
2021-01-31 through 2021-02-06
Mathematisches Forschungsinstitut Oberwolfach
Oberwolfach; Germany

Meeting Type: invitational workshop

Contact: see conference website

Description

none

February 2021

Combinatorial Algebraic Geometry

ag.algebraic-geometry co.combinatorics
2021-02-01 through 2021-05-07
ICERM
Providence, RI; USA

Meeting Type: thematic research program

Contact: see conference website

Description

Combinatorial algebraic geometry comprises the parts of algebraic geometry where basic geometric phenomena can be described with combinatorial data, and where combinatorial methods are essential for further progress.

Research in combinatorial algebraic geometry utilizes combinatorial techniques to answer questions about geometry. Typical examples include predictions about singularities, construction of degenerations, and computation of geometric invariants such as Gromov-Witten invariants, Euler characteristics, the number of points in intersections, multiplicities, genera, and many more. The study of positivity properties of geometric invariants is one of the driving forces behind the interplay between geometry and combinatorics. Flag manifolds and Schubert calculus are particularly rich sources of invariants with positivity properties.

In the opposite direction, geometric methods provide powerful tools for studying combinatorial objects. For example, many deep properties of polytopes are consequences of geometric theorems applied to associated toric varieties. In other cases geometry is a source of inspiration. For instance, long-standing conjectures about matroids have recently been resolved by proving that associated algebraic structures behave as if they are cohomology rings of smooth algebraic varieties.

Much research in combinatorial algebraic geometry relies on mathematical software to explore and enumerate combinatorial structures and compute geometric invariants. Writing the required programs is a considerable part of many research projects. The development of new mathematics software is therefore prioritized in the program.

The program will bring together experts in both pure and applied parts of mathematics as well mathematical programmers, all working at the confluence of discrete mathematics and algebraic geometry, with the aim of creating an environment conducive to interdisciplinary collaboration. The semester will include four week-long workshops, briefly described as follows.

  • A 'boot-camp' aimed at introducing graduate students and early-career researchers to the main directions of research in the program.

  • A research workshop dedicated to geometry arising from flag manifolds, classical and quantum Schubert calculus, combinatorial Hodge theory, and geometric representation theory.

  • A research workshop dedicated to polyhedral spaces and tropical geometry, toric varieties, Newton-Okounkov bodies, cluster algebras and varieties, and moduli spaces and their tropicalizations.

  • A Sage/Oscar Days workshop dedicated to development of programs and software libraries useful for research in combinatorial algebraic geometry. This workshop will also feature a series of lectures by experts in polynomial computations.

Sage/Oscar Days for Combinatorial Algebraic Geometry

ag.algebraic-geometry co.combinatorics
2021-02-15 through 2021-02-19
ICERM
Providence, RI; USA

Meeting Type: software development workshop

Contact: see conference website

Description

This workshop will focus on the development of software to facilitate research in combinatorial algebraic geometry, based on the SAGE Mathematical Software System and the OSCAR Computer Algebra System. Special attention will be given to efficient computations with multi-variate polynomials, which is a critical part of many algorithms in combinatorial algebraic geometry. Aside from development of software, the workshop will feature a series of talks about polynomial computations, as well as introductory lectures about Sage and Oscar.

May 2021

Harmonic Analysis and Analytic Number Theory

nt.number-theory
2021-05-03 through 2021-08-20
Hausdorff Research Institute for Mathematics
Bonn; Germany

Meeting Type: conference

Contact: see conference website

Description

none

Leuca2021 Celebrating Claude Levesque's and Michel Waldschmidt's 75th birthdays

nt.number-theory
2021-05-10 through 2021-05-14
Marina di San Gregorio, Patù (Lecce), Italy; Italy

Meeting Type: conference

Contact: Valerio Talamanca

Description

none

QUANTUM CHAOS AND NUMBER THEORY A conference in honor of Zeev Rudnick's 60 birthday

nt.number-theory
2021-05-23 through 2021-05-27
Tel Aviv University
Tel Aviv; Israel

Meeting Type: conference

Contact: Lior Rosenzweig

Description

The conference “Analytic Number Theory, Quantum Chaos and their Interfaces” aims at gathering distinguished researchers working in either of the disciplines to discuss recent research advances in these fields, and serve as a playground for the exchange of ideas between these, rather diverse, research communities. Another purpose of our conference is to provide a solid educational platform for more junior researchers (PhD students, postdoctoral researchers and early career permanent faculty) who aspire to conduct research in the relevant fields and expose them to some of the outstanding results and open problems as well as to meet other researchers with similar academic interests, with high potential to start new research collaborations. Being a home to Professor Zeev Rudnick, who has contributed greatly to unifying the main subjects of the conference and established some relevant fundamental results in these fields, Tel Aviv University is a natural place for such a meeting to take place.

Curves over Finite Fields

ag.algebraic-geometry nt.number-theory
2021-05-24 through 2021-05-28
Benasque; Spain

Meeting Type: conference

Contact: see conference website

Description

In the fall semester of 1985, Prof. Jean-Pierre Serre taught at Harvard University an extended series of lectures of his course on Rational Points on Curves over Finite Fields , first taught at Collège de France. Fernando Gouvêa's handwritten notes of this course have been spread all around since then. These notes contain the origin and inspiration of most of the works on the topic since 1985: maximal curves, construction of curves from their jacobians, class field towers, asymptotics of the number of points, etc.

At last, these notes have been edited, revised and are going to be published by the Société Mathématique Française in the Documents Mathématiques series. The present workshop will celebrate the publication of these notes. Experts on the topic will explain the main progress since 1985 and will discuss open questions and new techniques on curves over finite fields. Plenary speakers will be asked to write down their talks in order to publish proceedings which will be a natural continuation of Serre’s book.

Arithmetic, Geometry, Cryptography and Coding Theory

ag.algebraic-geometry nt.number-theory
2021-05-31 through 2021-06-04
CIRM
Luminy; France

Meeting Type: conference

Contact: see conference website

Description

Our goal is to organise a conference devoted to interactions between pure mathematics (in particular arithmetic and algebraic geometry) and information theory (especially cryptography and coding theory). This conference will be the eighteenth edition, with the first one held in 1987, in a series that has traditionally brought together some of the top specialists in the domains of arithmetic, geometry, and information theory. The corresponding international community is very active and all of the concerned research domains are developing and expanding rapidly.

The conference is therefore also an important occasion for junior mathematicians (graduate students and postdocs) to interact with established researchers in order to exchange ideas. We aim to create an inclusive atmosphere and to encourage forging new connections between researchers of various different backgrounds.

The conference talks will be devoted to recent advances in arithmetic and algebraic geometry and number theory, with a special emphasis on algorithmic and effective results and applications of these fields to information theory.

The conference will last one week and will be organized as follows :

  • There will be one or two plenary talks each day, at the start of each session. They will be given by established researchers, some of whom are new to the established AGC2T community; this will allow for the introduction of emerging topics to the community, which may give rise to applications of arithmetic or algebraic geometry to information theory.
  • There will be several shorter specialized talks in each session, often delivered by junior mathematicians.

As with the previous editions of the AGC2T, we aim publish conference proceedings as a special volume of the Contemporary Mathematics collection of the AMS.

Conference Topics

  • Algebraic and arithmetic geometry over finite fields and global fields.
  • Number theory, especially explicit and algorithmic.
  • Algebro-geometric codes constructed from curves and higher-dimensional algebraic varieties over finite fields and global fields.
  • Arithmetic and geometric aspects of cryptography (symmetric, public key, and post-quantum) and cryptanalysis.

June 2021

Conference on Arithmetic Geometry in honor of Luc Illusie

ag.algebraic-geometry nt.number-theory
2021-06-07 through 2021-06-11
Morningside Center for Mathematics
Beijing; China

Meeting Type: conference

Contact: see conference website

Description

none

Motives, quadratic forms and arithmetic

ag.algebraic-geometry kt.k-theory-and-homology
2021-06-07 through 2021-06-11
Université d'Artois
Lens; France

Meeting Type: conference

Contact: Jérôme Burési, Baptiste Calmès, Ivo Dell'Ambrogio, Ahmed Laghribi

Description

To celebrate Bruno Kahn's 63rd birthday

Motives and quadratic forms interact in fruitful ways: motives have successfully been used to understand and compute invariants of quadratic forms, while conversely, quadratic forms play a surprisingly deep and structural role in the motivic stable homotopy category of schemes. Moreover, over arithmetic bases, motives can be used to extract information of number theoretical nature from quadratic forms or other algebraic or geometric objects.

July 2021

Fundamental Groups and their Representations in Arithmetic Geometry

nt.number-theory ag.algebraic-geometry
2021-07-04 through 2021-07-09
Banff International Research Station
Banff, AB; Canada

Meeting Type: conference

Contact: see conference website

Description

In arithmetic geometry, one studies solutions to polynomial equations defined with arithmetically interesting coefficients, such as integers or rational numbers. One way to study such objects, which has seen tremendous success in the last several decades, is by investigating their symmetries. Quite surprisingly, in several interesting situations, many of the geometric and arithmetic properties of the objects in question are actually controlled by the object’s symmetries.

Unfortunately, it is usually impossible to study these symmetries directly with current technology. To get around this, mathematicians working in this area often study simplified (often linearized) versions of the symmetries in question, which still capture a significant amount of information about the given object. This workshop will bring together both senior and junior researchers, including graduate students, postdocs, and leading experts, who study objects of geometric and arithmetic origin from the point of view of their symmetries and their linearized variants.

Geometry via Arithmetic

nt.number-theory ag.algebraic-geometry
2021-07-11 through 2021-07-16
Banff International Research Station
Banff, AB; Canada

Meeting Type: conference

Contact: see conference website

Description

There is an age-old relationship between arithmetic and geometry, going back at least to Euclid's Elements. Historically, it has usually been geometry that has been used to enrich our understanding of arithmetic, but the purpose of this workshop is to study the flow of information in the other direction. Namely, how can arithmetic enhance our understanding of geometry? This meeting will bring together researchers from both sides of the partnership, to explore ways to bind the two fields ever closer together.

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
Banff, AB; Canada

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.

Explicit Methods in Number Theory

nt.number-theory
2021-07-18 through 2021-07-24
Mathematisches Forschungsinstitut Oberwolfach
Oberwolfach; Germany

Meeting Type: workshop

Contact: Karim Belabas, Bjorn Poonen, Fernando Villegas

Description

The workshop will bring together people attacking key problems in number theory via techniques involving concrete or computable descriptions. Here, number theory is interpreted broadly, including algebraic and analytic number theory, Galois theory and inverse Galois problems, arithmetic of curves and higher-dimensional varieties, zeta and L-functions and their special values, and modular forms and functions. Considerable attention is paid to computational issues, but the emphasis is on aspects that are of interest to the pure mathematician.

A Pair of Automorphic Workshops 2021

nt.number-theory
2021-07-18 through 2021-07-31
University of Oregon
Eugene, OR; USA

Meeting Type: graduate instructional workshop (week 1) and collaborative research workshop (week 2)

Contact: Ellen Eischen

Description

During the last two weeks of July 2021, the University of Oregon will host a graduate instructional workshop followed by a collaborative research workshop to promote diverse collaborations.

While both of these workshops focus on algebraic and p-adic aspects of automorphic forms, L-functions, and related topics, the two workshops are independent. Applicants are encouraged to apply for one or both of the workshops, and funding decisions will be determined separately for each.

Rational Points 2021

ag.algebraic-geometry nt.number-theory
2021-07-25 through 2021-07-31
Frankenakademie Schloss Schney
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.

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
Banff, AB; Canada

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.

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
Banff, AB; Canada

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

Description

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

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

Around p-adic cohomologies

ag.algebraic-geometry nt.number-theory
2021-09-20 through 2021-09-24
University of Padova
Padova; Italy

Meeting Type: conference

Contact: see conference website

Description

none

October 2021

Lattices and Cohomology of Arithmetic Groups: Geometric and Computational Viewpoints

gr.group-theory gt.geometric-topology nt.number-theory
2021-10-03 through 2021-10-08
Banff International Research Station
Banff, AB; Canada

Meeting Type: conference

Contact: see conference website

Description

A lattice is a discrete collection of regularly ordered points in space. Lattices are everywhere around us, from the patterned stacked arrangements of fruits and vegetables at the grocery to the regular networks of atoms in crystalline compounds. Today lattices find applications throughout mathematics and the sciences, applications ranging from chemistry to cryptography and Wi-Fi networks.

The focus of this meeting is the connections between lattices and number theory and geometry. Number theory, one of the oldest branches of pure mathematics, is devoted to the study properties of the integers and more sophisticated number systems. Lattices and number theory have many deep connections. For instance using number theory it was recently demonstrated that certain packings of balls in high dimensions are optimally efficient. Lattices also appear naturally when one studies certain spaces that play an important role in number theory; one of the main focuses of this meeting is to investigate computational and theoretical methods to understand such spaces and to expand the frontier of our algorithmic knowledge in working with them.

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
Banff, AB; Canada

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.

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.

Program web page: http://www.mittag-leffler.se/langa-program/higher-algebraic-structures-algebra-topology-and-geometry

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

The organizers
Gregory Arone (gregory.arone@math.su.se)
Tilman Bauer (tilmanb@kht.se)
Alexander Berglund (alexb@math.su.se)
Søren Galatius (galatius@math.ku.dk)
Jesper Grodal (jg@math.ku.dk)
Thomas Kragh (thomas.kragh@math.uu.se)

June 2022

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 conferences@ima.org.uk 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 conferences@ima.org.uk. 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 conferences@ima.org.uk

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: conferences@ima.org.uk Tel: +44 (0) 1702 354 020

July 2022

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

Description

none