Conférences - Algèbre

MRSI – Mathematical Sciences Research Institute, Berkeley | National Center for Theoretical Sciences, Taipei, Taiwan

The purpose of the workshop is to introduce graduate students to fundamental results on the Navier-Stokes and the Euler equations, with special emphasis on the solvability of its initial value problem with rough initial data as well as the large time behavior of a solution. These topics have long research history. However, recent studies clarify the problems from a broad point of view, not only from analysis but also from detailed studies of orbit of the flow.

MRSI – Mathematical Sciences Research Institute, Berkeley

This Summer Graduate School will cover basic tools that are instrumental in Random Conformal Geometry (the investigation of analytic and geometric objects that arise from natural probabilistic constructions, often motivated by models in mathematical physics) and are at the foundation of the subsequent semester-long program "The Analysis and Geometry of Random Spaces". Specific topics are Conformal Field Theory, Brownian Loops and related processes, Quasiconformal Maps, as well as Loewner Energy and Teichmüller Theory.

Géométrie et topologie,    Cours et évènements pour étudiants en mathématiques

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Cours et évènements pour étudiants en mathématiques,    Analyse

Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada

In this workshop, we want to bring together researchers from both sides of this development: those mathematicians specializing in the application of modern algebraic and algebro-geometric methods to the study of algebraic groups and their torsors, as well as those working on relevant aspects of the motivic and cohomological approaches from a more abstract viewpoint. We hope that bringing this mix of researchers together will have a synergistic impact, leading to concrete new applications of the abstract machinery to outstanding problems on quadratic forms, algebras with involution and algebraic groups, but also inspiring progress on the general development of the motivic and cohomological methods.

Cours et évènements pour étudiants en mathématiques,    Théorie des groupes

Mathematical Sciences Research Institute (MSRI)

This workshop will focus on the integrable aspect of random matrix theory and other related probability models such as random tilings, directed polymers, and interacting particle systems. The emphasis is on communicating diverse algebraic structures in these areas which allow the asymptotic analysis possible. Some of such structures are determinantal point processes, Toeplitz and Hankel determinants, Bethe ansatz, Yang-Baxter equation, Karlin-McGregor formula, Macdonald process, and stochastic six vertex model.

This workshop, sponsored by AIM and the NSF, will bring together mathematicians from a variety of backgrounds to discuss a central problem in mirror symmetry: the existence of special Lagrangian submanifolds, and their holomorphic mirrors, stable vector bundles.

Banff International Research Station for Mathematical Innovation and Discovery (BIRS)

Nonlinear inverse problems are ubiquitous in medical sciences, engineering, physics and other natural sciences. This workshop will advance a statistical paradigm that allows underpinning statistical decision making in such problems in a scientifically rigorous way. This will be achieved by providing `frequentist' large sample guarantees for inferences arising from commonly used (Bayesian or non-Bayesian) algorithms in such problems. Thereby, a large cluster of applied problems, where algorithms are used for day-to-day decision making with statistical data, will be put on a solid and robust foundation, facilitating its confident use in modern society.

Cours et évènements pour étudiants en mathématiques,    Statistique, Théorie des jeux

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Maplesoft

Maple in Mathematics Education and Research - This 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.

Event Organizer;     Tél.: [1-800-267-6583];     Email.: info@maplesoft.com

Maple in Education, Algorithms and Software, Applications of Maple, Math Software, Maple, symbolic computation algorithms, Mathematics, Research,

Mathématiques numériques,    Calcul infinitésimal, équations différentielles et intégrales

The purpose of this workshop is to bring together mathematicians interested in foams and their use in low-dimensional topology, representation theory, categorification, mathematical physics, and combinatorics. The workshop will focus on the foam evaluation formula and its applications. More concretely, we aim to: (a) Give a more intrinsic definition of the foam evaluation, in order, for instance, to find similar formulas for the other Lie types; (b) Understand the interplay between foams and matrix factorizations and further use foams for a unified and comprehensive approach to Khovanov-Rozansky link homology theories; (c) Compare combinatorial foam evaluation with the geometric structures and invariants coming from gauge theory and symplectic geometry; (d) Study potential applications of the foamy definition of link homology theories. This workshop is fully funded by a Simons Foundation Targeted Grant to Institutes.

Banff International Research Station for Mathematical Innovation and Discovery (BIRS)

The Functoriality conjectures, formulated by Langlands in 1967, have been a driving force behind much of the work in both Number theory and Representation theory in the last 50 years. This workshop will explore a relatively new approach to the conjectures stemming from Langlands' recent proposal called ``Beyond Endoscopy''. This proposal has since blossomed in the work of many mathematicians and has produced very interesting recent results in several areas of mathematics from algebraic geometry through representation theory to analytic number theory.

Cours et évènements pour étudiants en mathématiques,    Théorie des nombres, arithmétique

Paderborn University, Paderborn, Germany

The Colloquium on Combinatorics is a forum that brings together young researchers and well established scientists. The colloquium will cover all areas of Combinatorics and Discrete Mathematics in a broad sense, including combinatorial aspects in Algebra, Geometry, Optimization and Computer Science. All participants are cordially invited to give a scientific talk

Théorie des graphes et combinatoire,    Cours et évènements pour étudiants en mathématiques

CIRM – Centre International de Rencontres Mathématiques

The Fields Institute for Research in Mathematical Sciences

Scheduled as part of the Thematic Program on Trends in Pure and Applied Model Theory

Théorie des graphes et combinatoire,    Cours et évènements pour étudiants en mathématiques

The Fields Institute for Research in Mathematical Sciences

Théorie des graphes et combinatoire,    Cours et évènements pour étudiants en mathématiques

Because of the complicated situation concerning the spread of COVID-19,the HMS Moscow Fair can be rescheduled. Please follow our website for more information.

The 28th International Workshop on Matrices and Statistics, IWMS 2021, will be held during the period December 13-15, 2021 at the Center for Advanced Research for Applied Mathematics and Statistics, Manipal Academy of Higher Education, (MAHE) Manipal, Karnataka, India. The theme of the workshop shall focus on the theory and applications of different branches of science such as Biology, Computer and Information Science, Economics, Electronics, Genetics, Office Statistics, Social Statistics and Accountancy.

Matrix Analysis, Projectors in Linear Models & Multivariate Analysis, Growth Curve Models, Linear Regression Models , Linear Statistical Inference, Modelling Covariance Structures , Multivariate and Mixed Linear Models , Statistics in Big Data Analysis.

Manipal Academy of Higher Education, Manipal, Karnataka, India

The present conference shall provide a platform for leading Mathematicians and Statisticians, working around the globe in the theme area to discuss several research issues and to introduce new innovations. The main goal of the conference is to bring experts, young researchers, and students together to present recent developments in this dynamic and important field. The conference also aims to stimulate research and support the interaction between the scientists by creating an environment for the participants to exchange ideas and to initiate collaborations and professional partnerships. This conference has been endorsed by the International Linear Algebra Society.

The in person event will take place on January 10-13, 2022, followed by an online component.

The Fields Institute for Research in Mathematical Sciences

Scheduled as part of the Thematic Program on Tame Geometry, Transseries and Applications to Analysis and Geometry

Géométrie et topologie,    Analyse

The Federico Santa María Technical University in Valparaíso, Chile, will be hosting the 9th international conference on Computational Methods and Function Theory (CMFT 2021) to be held January 10-14, 2022. The conference will be held in memory of Stephan Ruscheweyh, who initiated the series of CMFT conferences and has been the driving force behind all the previous conferences. The general theme of the meeting concerns various aspects of interaction of complex variables and scientific computation, including related topics from function theory, holomorphic function spaces, approximation theory and numerical analysis. Another important aspect of the CMFT meetings, previously held in Valparaíso 1989, Penang 1994, Nicosia 1997, Aveiro 2001, Joensuu 2005, Ankara 2009, Shantou 2013, and Lublin 2017, is to promote the creation and maintenance of contacts with scientists from diverse cultures.

This is a week-long workshop consisting of three minicourses, a number of contributed talks, and several open discussion sessions themed around key areas of research at the intersection of Lie theory and Poisson geometry. Circumstances permitting, it will take place at CIRM Luminy in Marseille, France, during January 2022.

This program is devoted to the investigation of universal analytic and geometric objects that arise from natural probabilistic constructions, often motivated by models in mathematical physics. Prominent examples for recent developments are the Schramm-Loewner evolution, the continuum random tree, Bernoulli percolation on the integers, random surfaces produced by Liouville Quantum Gravity, and Jordan curves and dendrites obtained from random conformal weldings and laminations. The lack of regularity of these random structures often results in a failure of classical methods of analysis. One goal of this program is to enrich the analytic toolbox to better handle these rough structures.

Cours et évènements pour étudiants en mathématiques,    Géométrie et topologie

The Connections Workshop will feature talks on a variety of topics related to the analysis and geometry of random spaces. It will preview the research themes of the semester program and will highlight the work of women in the field. There will be a panel discussion as well as other social events. This workshop is directly prior to the Introductory Workshop, and participants are encouraged to participate in both workshops. This workshop is open to all mathematicians.

Cours et évènements pour étudiants en mathématiques,    Géométrie et topologie

CIRM – Centre International de Rencontres Mathématiques

THEMATIC MONTH

This workshop brings together leading experts in quantum numerical linear algebra, to discuss the recent development of quantum algorithms to perform linear algebra tasks for solving challenging problems in science and engineering and for various industrial and technological applications.

This workshop will introduce some of the major themes in probability and geometric analysis that will be relevant for the semester-long program. A series of short mini-courses will give participants the opportunity to learn about important subjects such as the Schramm-Loewner evolution (SLE) or the Gaussian free field (GFF), for example. The workshop will also include "visionary" lectures by prominent researchers who will outline fruitful directions for future research.

Cours et évènements pour étudiants en mathématiques,    Géométrie et topologie

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Mathematical Sciences Research Institute (MRSI)

This workshop is built around four minicourses that will introduce the participants to a range of recent techniques in various areas of holomorphic dynamics, given by specialists in these topics. The event is complemented by a series of talks by leaders in the field, aimed at a large audience and presenting current research directions in the area.

Réseaux complexes,    Systèmes complexes et chaos

CIRM – Centre International de Rencontres Mathématiques

MULTIYEAR PROGRAM - RESEARCH SCHOOL

ICERM

Incarnations of braid groups, or generalizations thereof, naturally arise in a range of active research areas in symplectic and algebraic geometry. This is a rich and diverse ecosystem, and the workshop will aim to bring together speakers from all corners of it. A unifying theme is monodromy: one the one hand, generalized braid groups arise in symplectic and algebraic geometry as fundamental groups of moduli spaces, loosely construed -- for instance, of complements of discriminant loci of singularities or of hyperplane arrangements, or moduli spaces of deformations of complex or symplectic structures. On the other hand, monodromy ideas motivate representations of generalized braid groups as various flavors of geometric automorphisms -- for instance, as (framed) mapping class group elements, symplectic Dehn twists, spherical twists in derived categories, or flop functors for 3-folds. These perspectives lead in turn to a wide array of further geometric applications, from classifications of Stein fillings to the study of spaces of Bridgeland stability conditions.

From a community perspective, one aim of the workshop is to bring together mathematicians from adjacent research communities with a shared interest in braids as they arise in symplectic or algebraic geometry. We hope the conference will accelerate the cross-pollination of ideas, and help foster collaborations, at what is a very exciting time for the field. Much of this research also lies at an interface with other aspects of the thematic semester -- for instance, braids in representation theory (e.g. in connection with cluster algebras or Bridgeland stability conditions), or in low-dimensional topology (e.g. in connection with monodromies of open books) -- and many of the talks should be of interest to a broader set of semester participants.

Tél.: [401 863 5030];     Email.: info@icerm.brown.edu

Mathematical Sciences Research Institute (MRSI)

This workshop will explore connections between the regularity theory of minimal surfaces and of mean curvature flow. Recent breakthroughs have improved our understanding of singularity formation in both settings but the current research trends are becoming increasingly disparate. Experts from both areas will present their research and there will be ample free time to establish connections between the topics.

In the tradition of the earlier events, 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.

The aim of this workshop is to bring together researchers whose work contributes to the study of random structures that exhibit some form of conformal self-similarity. Notable examples include the Schramm-Loewner evolution SLE, the Brownian map and random trees, Liouville Quantum Gravity, and Conformal Field Theory. A particular focus will be the discussion of analytic tools needed to address the challenges arising from the often rough underlying sets and spaces.

Mathematical Sciences Research Institute (MRSI)

The aim of this workshop is to bring together researchers whose work contributes to the study of random structures that exhibit some form of conformal self-similarity. Notable examples include the Schramm-Loewner evolution SLE, the Brownian map and random trees, Liouville Quantum Gravity, and Conformal Field Theory. A particular focus will be the discussion of analytic tools needed to address the challenges arising from the often rough underlying sets and spaces.

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Cours et évènements pour étudiants en mathématiques,    Calcul scientifique

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Cours et évènements pour étudiants en mathématiques,    Analyse

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

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.

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

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Cours et évènements pour étudiants en mathématiques,    Analyse

This workshop will focus on complex dynamics in one and several variables. We will bring toghether experts in rational dynamics, transcendental dynamics, and dynamics in several complex variables in order to get new perspective and foster discussions in a warm and stimulating atmosphere. A special focus will be put on the interactions between one dimensional and higher dimensional complex dynamics, and on connections with adjacent areas of mathematics.

Casa Matemática Oaxaca (CMO)

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Cours et évènements pour étudiants en mathématiques,    Théorie des groupes

The Fields Institute for Research in Mathematical Sciences

Géométrie et topologie,    Analyse

CIRM – Centre International de Rencontres Mathématiques

CONFERENCE

Mathematical Center in Akademgorodok

The ICM 2022 satellite conference Modern Trends in Representation Theory will take place in the picturesque mountain region of Altai Republic, located about 900 kilometers from Novosibirsk, Russia. The conference is dedicated to the broad variety of topics in representation theory and its applications.

Representation theory, Lie algebras, Lie groups, quantum groups, geometric quantization, integrable systems, cohomology of groups, cohomology of algebras, algebraic invariant theory, vertex algebras, low-dimensional topology.

Théorie des groupes,    Physique mathématique

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

CIRM – Centre International de Rencontres Mathématiques

CONFERENCE

At the conference we will be celebrating the 65th birthday of Paul Terwilliger. As such, the general theme of this conference will be the mathematical topics that Paul has worked on over the years (which all have relationships to the q-Onsager algebra).

distance-regular graphs, association schemes, the subconstituent algebra, Leonard pairs, tridiagonal pairs, billiard arrays, lowering-raising triples, the tetrahedron algebra, the Onsager algebra, the equitable presentation of Uq(sl2), the q-tetrahedron algebra, the q-Onsager algebra in mathematical physics, the universal Askey-Wilson algebra

Théorie des graphes et combinatoire,    Physique mathématique

Mathematical Sciences Research Institute (MRSI)

Representation Theory has undergone a revolution in recent years, with the development of what is now known as higher representation theory. In particular, the notion of categorification has led to the resolution of many problems previously considered to be intractable. The school will begin by providing students with a brief but thorough introduction to what could be termed the “bread and butter of modern representation theory”, i.e., compact Lie groups and their representation theory; character theory; structure theory of algebraic groups. We will then continue on to a number of more specialized topics. The final mix will depend on discussions with the prospective lecturers.

Cours et évènements pour étudiants en mathématiques,    Théorie des groupes

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).

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Cours et évènements pour étudiants en mathématiques,    Géométrie et topologie

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

CIRM – Centre International de Rencontres Mathématiques

Mathematical Sciences Research Institute (MRSI)

Cours et évènements pour étudiants en mathématiques,    Calcul infinitésimal, équations différentielles et intégrales

The Fields Institute

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 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.

Géométrie et topologie,    Théorie des nombres, arithmétique

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Cours et évènements pour étudiants en mathématiques,    Géométrie et topologie

Mathematical Sciences Research Institute (MRSI)

The goal of the summer school is to provide participants the tools in symplectic geometry and stable homotopy theory required to work on Floer homotopy theory. Students will come away with a basic understanding of some of the key techniques, questions, and challenges in both of these fields. The summer school may be particularly valuable for participants with a solid understanding of one of the two fields who want to learn more about the other and the connections between them.

Cours et évènements pour étudiants en mathématiques,    Géométrie et topologie

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Cours et évènements pour étudiants en mathématiques,    Calcul infinitésimal, équations différentielles et intégrales

The conference is held on the occasion of Peter Newstead's 80th birthday. Please see the web page for up-to-date information.

Mathematical Sciences Research Institute (MRSI)

The goal of this summer school is to give students crash courses in tropical and logarithmic geometry, with a particular focus on the applications in enumerative geometry and moduli theory.

Cours et évènements pour étudiants en mathématiques,    Géométrie et topologie

Casa Matemática Oaxaca (CMO)

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

The development of Floer theory in its early years can be seen as a parallel to the emergence of algebraic topology in the first half of the 20th century, going from counting invariants to homology groups, and beyond that to the construction of algebraic structures on these homology groups and their underlying chain complexes. In continuing work that started in the latter part of the 20th century, algebraic topologists and homotopy theorists have developed deep methods for refining these constructions, motivated in large part by the application of understanding the classification of manifolds. The goal of this program is to relate these developments to Floer theory with the dual aims of (i) making progress in understanding symplectic and low-dimensional topology, and (ii) providing a new set of geometrically motivated questions in homotopy theory.

MRSI – Mathematical Sciences Research Institute, Berkeley

The development of Floer theory in its early years can be seen as a parallel to the emergence of algebraic topology in the first half of the 20th century, going from counting invariants to homology groups, and beyond that to the construction of algebraic structures on these homology groups and their underlying chain complexes. In continuing work that started in the latter part of the 20th century, algebraic topologists and homotopy theorists have developed deep methods for refining these constructions, motivated in large part by the application of understanding the classification of manifolds. The goal of this program is to relate these developments to Floer theory with the dual aims of (i) making progress in understanding symplectic and low-dimensional topology, and (ii) providing a new set of geometrically motivated questions in homotopy theory.

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Cours et évènements pour étudiants en mathématiques,    Géométrie et topologie

The Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China

Mathematical Sciences Research Institute (MRSI)

Over the last decade, there has been a wealth of new applications of homotopy-theoretic techniques to Floer homology in low-dimensional topology and symplectic geometry, including Manolescu’s disproof of the high-dimensional Triangulation Conjecture and Abouzaid-Blumberg’s proof of the Arnol’d Conjecture in finite characteristic. Conversely, results in Floer theory and categorification have opened new directions of research in homotopy theory, from string topology to S-Lie algebras. The goal of this workshop is to introduce researchers in Floer theory to modern techniques and questions in homotopy theory and, conversely, introduce researchers in homotopy theory to ideas underlying Floer theory and its applications.

CIRM – Centre International de Rencontres Mathématiques

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Cours et évènements pour étudiants en mathématiques,    Géométrie et topologie

The Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China

Casa Matemática Oaxaca (CMO)

CIRM – Centre International de Rencontres Mathématiques

Géométrie et topologie,    Cours et évènements pour étudiants en mathématiques

Casa Matemática Oaxaca (CMO)

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

The Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China

The Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Mathematical Sciences Research Institute (MRSI)

The Introductory Workshop aims to provide a coherent overview of current research in algebraic cycles, L-values, Euler systems, and the many connections between them. This includes the study of special cycles on Shimura varieties and moduli spaces of shtukas, integral representations of L-values and the construction of p-adic L-functions, and the construction of Euler systems from special elements in Chow groups or higher Chow groups of Shimura varieties. Workshop lectures will be organized into short lecture series, so as to allow each series to begin with expository lectures on foundational results before moving on to current research.

Mathematical Sciences Research Institute (MRSI)

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.

Algebraic Cycles, L-Values, and Euler Systems

Affine algebraic geometry studies algebraic subvarieties of complex affine space C^n. A major contributor to this field in the following generation is Shulim Kaliman, whose work this conference is intended to honor on the occasion of his 70th birthday. The conference will feature 10-12 prominent plenary speakers from among Kaliman's research colleagues, such as Mikhail Zaidenberg, with additional talks that include younger researchers. Kaliman's work draws from an impressive range of tools, not only in algebra and geometry but also in topology and analysis. The title of the conference reflects this: the embeddings, automorphisms, structure and topology of affine varieties are themes running throughout Kaliman's work. The talks will focus on current trends within these themes, and will not only bring together active researchers in the field but will also seek to engage students and early career researchers in the study of affine algebraic geometry.