Conférences - Algèbre

The field of algebraic dynamics has emerged over the past two decades at the confluence of algebraic geometry, discrete dynamical systems, and diophantine geometry. In recent work, striking connections have been observed between algebraic dynamics and much older theories of difference and differential equations. This meeting brings together mathematicians with expertise in such diverse fields as ring theory, complex dynamics, differential and difference algebra, combinatorics and algebraic geometry. New work towards the dynamical Mordell-Lang and dense orbit conjectures as well as theorems on hypertranscendence and functional independence proven by connecting difference Galois theory, algebraic dynamics and other algebraic approaches to the study offunctional equations will be presented at this meeting.

CIRM – Centre International de Rencontres Mathématiques

Here we want to work intensively on problems related to the conjectures of Sarnak and Chowla. After the progress on automatic sequences achieved by C. Muellner, the focus lies on a further study of this important question by analytic and dynamic methods.

Diophantine Problems: Determinism, Randomness, Applications, Sarnak Conjecture, Automatic Sequences, Normality

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

Centre International de Rencontres Mathématiques (CIRM)

Centre International de Rencontres Mathématiques (CIRM)

WORKSHOP

Mathematical Sciences Research Institute (MSRI)

The study of discrete subgroups of Lie groups and the associated locally symmetric manifolds has a long and rich history, with powerful interconnections between the geometry of the locally symmetric space, topology of towers of its finite covers, and number-theoretic aspects. More recently dynamical and probabilistic techniques have been fruitfully employed to study these groups and spaces. The workshop will take stock of recent developments in these highly active fields from a variety of backgrounds.

School of Mathematics and Statistics, the University of Sydney

Central University of Kerala, Kasaragod

Conference focuses on the recent developments in signed graphs and allied areas. Stalwarts in this area like Professor Thomas Zaslavsky, Zoran Stanic and others will deliver talks.

Email.: srgerminaka@gmail.com

Centre International de Rencontres Mathématiques (CIRM)

CIRM - Centre International de Rencontres Mathématiques

The primary motivation for the meetings was driven by the existing lack of synergy between mathematicians and mathematical physicists interested in theoretical aspects of the newly developing fields of modern physical phenomena described by non-self-adjoint operators (non-Hermitian quantum mechanics, metamaterials, repeated interaction quantum systems, superconductivity, etc.). The series has been successful in gathering scientists from different communities who would not ordinarily interact in the same conference. In the forthcoming event we intend to continue with this purpose and, as in past events, we wish to bring together world class specialists in Mathematical Physics, Microlocal and Semiclassical Analysis, Dynamical Systems, Harmonic Analysis, Evolution PDEs and Stochastic Processes.

American Institute of Mathematics, San Jose, California

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. These two classes of objects form a set of canonical geometric objects, described by fully nonlinear partial differential equations (PDEs), which play a central role in mirror symmetry. Dating back to work of Thomas-Yau, it has long been conjectured that the existence of solutions to these nonlinear PDEs is equivalent to a purely algebraic notion of stability. This conjectural picture connects diverse fields of mathematics, ranging from stability conditions on derived categories, to symplectic geometry and the Fukaya category, to the study of the Lagrangian mean curvature flow and fully nonlinear systems of PDEs.

The central topics for the workshop are: The Lagrangian Mean Curvature Flow, singularity analysis, and connections with the Fukaya category. The deformed Hermitian-Yang-Mills equation, infinite dimensional GIT, and fully nonlinear systems. Understanding the Thomas-Yau conjecture for toric Fano manifolds and Landau-Ginzburg models.

Centre International de Rencontres Mathématiques (CIRM)

Théorie des groupes,    Physique mathématique

Center for Advanced Research for Applied Mathematics and Statistics, Manipal Academy of Higher Education, (MAHE)

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.

Classical Matrix Theory and Linear Algebra, Nonnegative Matrices and Special Matrices, Matrices and Graphs, Combinatorial Matrix Theory, Linear Statistical Inference, Matrix and Graph Methods in Statistics, Matrix and Graph Methods in Biological Science, Matrices in Error Analysis and its Applications.

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

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

Cours et évènements pour étudiants en mathématiques,    Géométrie et topologie

CIRM – Centre International de Rencontres Mathématiques

American Institute of Mathematics, San Jose, CA

This workshop, sponsored by AIM and the NSF, will be devoted to recent advances in arithmetic intersection theory on Shimura varieties. This event will be run as an AIM-style workshop. Participants will be invited to suggest open problems and questions before the workshop begins, and these will be posted on the workshop website. These include specific problems on which there is hope of making some progress during the workshop, as well as more ambitious problems which may influence the future activity of the field. Lectures at the workshop will be focused on familiarizing the participants with the background material leading up to specific problems, and the schedule will include discussion and parallel working sessions.

The main topics for the workshop are: Kudla's program: modularity of arithmetic generating series, Kudla-Rapoport conjectures, and connections with L-functions Arithmetic Gan-Gross-Prasad program: arithmetic fundamental lemma, arithmetic transfer conjectures, and connection with L-functions Applications of arithmetic intersections: exceptional isogenies between reductions of abelian varieties, arithmetic of K3 surfaces, Gross-Stark units and singular moduli for real quadratic fields

The Fields Institute

The winter school will feature a series of short lecture courses (2-4 hours each) on the main topics of the program. These are designed to give graduate students, early career researchers and experts in neighbouring fields a better understanding of each subject by presenting multiple viewpoints from different lecturers, thus enabling the participants to better engage in the subsequent workshops and seminars. There will also be problem sessions and working groups in the afternoons to expose graduate students to cutting edge research and foster collaborations among postdoctoral fellows, long term participants and winter school participants from all career stages.

Cours et évènements pour étudiants en mathématiques,    Analyse

Bernoulli Center (CIB), CIB is part of EPFL

Transfer operators have been used to study rare and extreme events in dynamical systems and the linear - or nonlinear - response of systems to perturbations, including applications to climate dynamics. This conference brings together experts from both theoretical and applied aspects of these studies, also in the presence of singularities.

The overarching objective of this workshop is to bring together researchers at the interface of the rapidly developing areas of the structure and classification of C*-algebras and subfactor theory/tensor categories. Advanced minicourses (making up around half the workshop) will enable a rich dialogue between the two communities, and participants will leave with many new problems to explore, as well as deeper insights about how C*-algebraic and von Neumann algebraic techniques interact.

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

ICERM

This introductory workshop in combinatorial algebraic geometry is aimed at early career mathematicians and other mathematicians looking for an entry point into the field. The workshop will feature expository lectures on some of the basic objects of interest, together with "expert'' lectures discussing some current trends in the field. There will also be ample time for problem sessions and discussions.

Tél.: [4018635796];     Email.: teresa.fitzsenry@icerm.brown.edu

Géométrie et topologie,    Cours et évènements pour étudiants en mathématiques

ICERM

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.

Email.: info@icerm.brown.edu

Théorie des graphes et combinatoire,    Géométrie et topologie

The Fields Institute

This workshop will showcase recent advances in combinatorial and geometric rigidity theory. Particular topics of interest include d-dimensional rigidity, global and universal rigidity, symmetry and periodicity, rigidity of alternate constraint systems and applications..

Théorie des graphes et combinatoire,    Géométrie et topologie

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

CIRM – Centre International de Rencontres Mathématiques

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

This workshop, sponsored by AIM and the NSF, will be devoted to exploration of the recently discovered connections between conformal sympathetic structures, contact topology and the theory of codimension one foliations.

Bernoulli Center (CIB), CIB is part of EPFL

This school will provide courses from experts on several aspects of the spectrum of transfer operators. Special attention will be provided to the theory of anisotropic spaces, and to applications in geometrical or physical settings. The target audience includes PhD students and young postdocs.

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

Recently, the study of Hénon maps has undergone new exciting developments, like the recent proof of the existence of wandering domain for complex Hénon maps. This result was achieved by mixing techniques from different parts of dynamics, namely real and complex. In this workshop we intend to pursue this trend by bringing together experts on real, complex and non-archimedean dynamics to get new perspectives in the study of Hénon maps.

CIRM – Centre International de Rencontres Mathématiques

Bernoulli Center (CIB), CIB is part of EPFL

This conference brings together experts who study Ruelle-Pollicott resonances by using semiclassical and dynamical approaches. Topics range from the Fried conjectures and other geometrical conjectures to various approaches to construct anisotropic spaces and strategies to obtain spectral gaps and essential spectral gaps, including the fractal uncertainty principle, and addressing non smooth situations.

CIRM – Centre International de Rencontres Mathématiques

ICERM

The workshop will revolve around the interplay between algebraic geometry and combinatorial structures such as graphs, polytopes, and polyhedral complexes. In particular, the workshop will foster dialogue among groups of researchers who use similar combinatorial geometric tools for different purposes within algebraic geometry and adjacent fields. The topics covered will include Newton-Okounkov bodies, Ehrhart theory, toric geometry, tropical geometry, matroids, and interactions with mirror symmetry.

Email.: Info@icerm.brown.edu

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

One of the most fundamental notions when studying functions of a real variable is the rate of change of a function, as measured by its derivative. Geometrically, the derivative is the slope of the tangent line. Both the notion of the derivative and the tangent line (or more generally, the tangent bundle of a smooth manifold) can be defined purely axiomatically because of the underlying structure of the category of smooth functions. The derivative, for example, is determined by its properties (such as the sum and product formulae for differentiation, the chain rule, etc.). This structural approach to the derivative leads to the notion of a differential category. When working with models of differential categories such as smooth functions, the listed properties seem like natural consequence of the model. On the contrary, the differential category structure shows that these properties determine the structure of the derivative, rather than the other way around.

CIRM – Centre International de Rencontres Mathématiques

University of Gothenburg and Chalmers University of Technology Chalmers Tvargata

The conference aims at bringing together experts and younger mathematicians working on operator algebras and noncommutative geometry in particular from Scandinavia. The focus of the conference is on fostering new interactions between operator algebras and noncommutative geometry coming forth from recent developments in both areas.

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

The aim of this workshop is to bring together experts on many developing perspectives on knot homology (physical, geometric and algebraic) to draw connections between them, and to explore applications.

Cours et évènements pour étudiants en mathématiques,    Géométrie et topologie

CIRM – Centre International de Rencontres Mathématiques

Society for Industrial and Applied Mathematics (SIAM)

Linear algebra is an important area of mathematics and it is at the heart of many scientific, engineering, and industrial applications. Research and development in linear algebra include theoretical studies, algorithmic designs and implementations on advanced computer architectures, and applications to various disciplines. The SIAM Conferences on Applied Linear Algebra, organized by SIAM every three years, are the premier international conferences on applied linear algebra, which bring together diverse researchers and practitioners from academia, research laboratories, and industries all over the world to present and discuss their latest work and results on applied linear algebra.

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

This workshop focuses on the interaction between algebraic K-theory and chromatic homotopy theory. Algebraic K theory translates fundamental arithmetic and geometric information about a ring or scheme into homotopy theory. The chromatic perspective is a fundamental organizing principle of homotopy theory, decomposing a space or spectrum into certain `prime localizations'. Recent major advances use these localizations to prove descent results for algebraic K theory, or give vanishing results for K-theory in certain cases. This conference gathers mathematicians working in algebraic K-theory and in chromatic homotopy theory to explore these recent advances, work on open problems, and set the syllabus for future work in the field.

American Institute of Mathematics (AIM)

This workshop, sponsored by AIM and the NSF, will be devoted to the use of computational mathematics in computer assisted proofs. There are an increasing number of famous conjectures and theorems that have recently been proven using computer assisted proofs. A highly incomplete list in alphabetical order includes the Dirac-Schwinger conjecture, the double bubble conjecture, Kepler's conjecture (Hilbert's 18th problem), Smale's 14th problem, the 290-theorem, the weak Goldbach conjecture etc. In many of these cases the proofs are based on using numerical computations with approximations, a technique that belongs to the field of computational mathematics and scientific computing rather than computer science.

Bernoulli Center (CIB), CIB is part of EPFL

There has recently been an explosion of results about transfer operators acting on anisotropic Banach spaces, starting with correlation decay and the analyticity properties of the Ruelle dynamical zeta function of uniformly hyperbolic maps and flows. These techniques have been extended to hyperbolic systems withsingularities, but the results there are limited to low dimension and there is no access to zeta functions. They have also been exploited in nonuniformly hyperbolic systems even in infinite measure, but basically only in the Markov case. Finally, very few results are currently available regarding the application of these techniques to partially hyperbolic systems. This conference is devoted to exploring these ongoing developments.

CIRM – Centre International de Rencontres Mathématiques

American Institute of Mathematics, San Jose

This workshop, sponsored by AIM and the NSF, will be devoted to analysis on the hypercube. The topics of the workshop will include harmonic analysis on the hypercube, Markov-Bernstein type inequalities, and martingales and Bellman functions.

Géométrie et topologie,    Mécanique quantique et l'information quantique

MRSI – Mathematical Sciences Research Institute, Berkeley

This summer school will introduce the participants to two of the main techniques in the subject: (i) the filtration method to prove algebraic degeneracy of integral points by means of the subspace theorem, leading to special cases of conjectures by Bombieri, Lang, and Vojta, and (ii) unlikely intersections through o-minimality and bi-algebraic geometry, leading to results in the context of the Manin-Mumford conjecture, the André-Oort conjecture, and generalizations. This SGS should provide an entry point to a very active research area in modern number theory.

ICERM

This workshop is at the interface of algebra, geometry, and computer science. The major theme deals with a novel domain of computational algebra: the design, implementation, and application of algorithms based on matrix representations of groups and their geometric properties. The setting of linear Lie groups is amenable to calculation and modeling transformations, thus providing a bridge between algebra and its applications. The main goal of the proposed workshop is to synergize and synthesize the independent strands in the area of computational aspects of discrete subgroups of Lie groups. We aim to facilitate solutions of theoretical problems by means of recent advances in computational algebra and additionally stimulate development of computational algebra oriented to other mathematical disciplines and applications.

Tél.: [4018635030];     Email.: info@icerm.brown.edu

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

A mathematical knot can be thought of as a piece of knotted string with ends attached. This knotted circle is allowed to move freely in space as long as it does not pass through itself. In recent years the study of knots has gained momentum through a series of applications, for instance in physics and in molecular biology. Such applications bring new urgency to certain classical questions pertaining to knots and how they sit inside 3-dimensional space. Much like a knotted wand dipped into liquid soap will bound a bubble, mathematical knots sitting in 3-dimensional space bound surfaces. Studying pairs of the form (knot, surface) sitting in 3-dimensional space rather than just knots, provides additional structure to better grasp basic questions, such as whether or not a given knot can be untangled and if so how.

Cours et évènements pour étudiants en mathématiques,    Géométrie et topologie

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

Cours et évènements pour étudiants en mathématiques,    Géométrie et topologie

Indian Institute of Science, Bangalore

FPSAC/SFCA is a series of annual international conferences on Formal Power Series and Algebraic Combinatorics. The principal topics featured during FPSAC conferences are algebraic and enumerative combinatorics and their applications and relations with other areas of mathematics, physics, biology and computer science. This interdisciplinary nature is reinforced by the choice of plenary speakers.

MRSI – Mathematical Sciences Research Institute, Berkeley

The goal of the summer school is to introduce students to the foundational aspects of gauge theory, and explore their relations to geometric analysis and low-dimensional topology. By the end of the two-week program, the students will understand the relevant analytic and geometric aspects of several partial differential equations of current interest (including the Yang-Mills ASD equations, the Seiberg-Witten equations, and the Hitchin equations) and some of their most impactful applications to problems in geometry and topology.

Géométrie et topologie,    Cours et évènements pour étudiants en mathématiques

Creighton University, Omaha, NE USA

The 11th International Conference on Path Integrals, hosted by the Creighton University Department of Mathematics, aims to bring together researchers around the world who study path integrals in various settings as well as researchers who use path integrals in their particular areas of study.

The Federico Santa María Technical University in Valparaíso, Chile

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. He was also one of the founding editors of the CMFT Journal. Stephan Ruscheweyh devoted his life to encouraging mathematics research and collaboration internationally. The organisers are honored to contribute to the continuation of his work. 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.

Masaryk University, Brno, Czech Republic

CIRM – Centre International de Rencontres Mathématiques

TU Dresden

The aim of this conference is to bring together experts and young researchers from various fields and communities in mathematics related to operator semigroups and linear evolution equations. The conference will also celebrate Charles Batty’s ongoing outstanding contributions to the theory of operator semigroups, C*-algebras and their relations to other areas of analysis. We expect there to be around 60 participants in the conference, about half of them early career researchers (Ph.D. students and postdocs).

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

Calcul infinitésimal, équations différentielles et intégrales,    Mathématiques numériques

The Euler International Mathematical Institute, Saint Petersburg

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.

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

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.

Cours et évènements pour étudiants en mathématiques,    Simulation

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

The purpose of this workshop is to bring together specialists in operator theory and complex analysis in several variables, with the aim of surveying recent developments and fostering new interactions between researchers in these subjects. Specific topics featured in this workshop include non-commutative function theory and its applications, the analysis of invariant subspaces and multiplier spaces for spaces of analytic functions of several variables, dilation theory for operator tuples, and extension problems for analytic functions in higher dimensions.

University of Alabama, Huntsville

Analyse,    Calcul infinitésimal, équations différentielles et intégrales

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

This workshop will focus on the results around the classification of algebraic varieties and their sheaves and how they are applied to resolve long standing questions in algebraic geometry.

Cours et évènements pour étudiants en mathématiques,    Géométrie et topologie

Mathematical Sciences Research Institute, Berkeley

The International Workshop on Operator Theory and its Applications meets annually to bring together mathematicians and engineers who work in functional analysis and its application to related areas.

Analyse,    Mathématiques appliquées (en général)

Society for Industrial and Applied Mathematics (SIAM)

Mathematical Sciences Research Institute, Berkeley

This workshop will focus on cutting-edge research in random matrices and integrable probability. We will explore connections with other branches of mathematics and applications to sciences and engineering. The workshop will feature presentations by both leading researchers and promising newcomers.

Physique mathématique,    Cours et évènements pour étudiants en mathématiques

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

The conference ELAZ 2021 will be organised jointly by the Banach Center Institute of Mathematics of the Polish Academy of Sciences, the Polish Mathematical Society, and the Faculty of Mathematics and Computer Science of Adam Mickiewicz University.

ELAZ stands for “Elementare und Analytische Zahlentheorie”, i.e. “Elementary and Analytic Number Theory”. It is a conference series held biannually since the year 2000. It is open to both young and experienced mathematicians, and is well known for its high scientific level. (postponed version of ELAZ 2020)

Mathematical Sciences Research Institute, Berkeley

The introductory workshop aims at providing participants with an overview of some of the recent developments in the topics of the semester, with a particular emphasis on universality and applications. This includes universality for Wigner matrices and band matrices and quantum unique ergodicity, universality for beta ensembles and log/coulomb gases, KPZ universality class, universality in interacting particle systems, the connection between random matrices and number theory.

Physique mathématique,    Cours et évènements pour étudiants en mathématiques

Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada

The geometry of Hyperkahler varieties is certainly one of the most studied topics in Algebraic Geometry, with many connections to Representation Theory and Arithmetic Geometry. The aim of this workshop is to survey the recent developments in this area and to investigate the open problems and conjectures, by creating new collaborations between participants from different research fields.

Cours et évènements pour étudiants en mathématiques,    Géométrie et topologie

Brno University of Technology, Faculty of Mechanical Engineering, Brno, Czech Republic.

The conference has three main goals: To promote the development of the geometric algebra and geometric calculus. To spread geometric algebra technologies within industry and business by showing a range of applications (image processing, computer vision, robotics, flight navigation, molecular geometry, etc.). To make progress on the inclusion of geometric algebra ideas into the mathematics, physics, computer science and engineering curricula.

Géométrie et topologie,    Théorie de l'information, fondations de l'informatique

Clay Mathematics Institute (CMI)

Spectral geometry, calculus of variations, and elliptic PDEs are a central part of modern analysis and geometric analysis. At the same time, these have important applications in other sciences, in particular mathematical physics. This workshop aims to bring together leading experts in these fields to discuss the main developments and open questions. The main research themes of the workshop include shape optimisation and sharp functional inequalities, Robin boundary value problems, Steklov eigenvalue problems, and properties of eigenfunctions and solutions to elliptic PDEs.

Calcul infinitésimal, équations différentielles et intégrales,    Géométrie et topologie

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

Irregular growth is a ubiquitous phenomenon in nature, from the growth of tumors, crystals, and bacterial colonies to the propagation of forest fires and the spread of water through a porous medium. Mathematical models of random growth have been a driving force in probability theory over the last sixty years and a rich source of important ideas. The analysis of random growth models began in the early 1960s with the introduction of the Eden model by Eden and first-passage percolation by Hammersley and Welsh. The field witnessed several breakthroughs in the 1980s and 1990s, from the introduction of more random growth models, including the Kardar, Parisi, and Zhang (KPZ) equation and the KPZ universality class, to the ground-breaking works of Tracy and Widom and of Baik, Deift, and Johansson, and the seminal works of Newman and coauthors. These results caused a flurry of activity and more analytical and geometrical tools were developed.

Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada

Subfactors and vertex operator algebras are mathematical structures that at first glance appear very different, but both are used in the mathematical study of quantum field theory. In particular, vertex operator algebras are algebraic structures arising in two-dimensional conformal field theory (CFT), a quantum field theory with applications ranging from string theory to condensed matter physics to quantum computing. On the other hand, subfactors are closely related to conformal nets, which are a functional-analytic approach to CFT. Because they are both mathematical descriptions the same quantum field theory, the theories of vertex operator algebras and conformal nets are widely believed to be equivalent, but only in the last few years has there been substantial progress in establishing an equivalence. As many important results in conformal field theory have been established for either vertex operator algebras or conformal nets, but not necessarily both, developing connections and equivalences will be useful for answering open questions in both mathematical formulations of CFT.

Cours et évènements pour étudiants en mathématiques,    Physique mathématique

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

This workshop brings together both theoreticians and practitioners from broadly different fields to advance algebraic statistical methodology to data science. While linear algebra underlies classical statistics, in algebraic statistics, the aim is to explore the applicability of nonlinear algebra---which extends algebraic theory beyond linear algebra---to statistical theory. In particular, our goal is to advance the computational feasibility of algebraic statistics. Our focus is specifically on direct applicability of algebraic statistical theory to real datasets. Additionally, this workshop explores other statistical settings that are also algebraic in nature and that find practical applications in various different fields, where nonlinear algebra may also be applied.

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

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

MRSI – Mathematical Sciences Research Institute, Berkeley

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.

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.

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)

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

CIRM – Centre International de Rencontres Mathématiques

CIRM – Centre International de Rencontres Mathématiques

THEMATIC MONTH

CIRM – Centre International de Rencontres Mathématiques

MULTIYEAR PROGRAM - RESEARCH SCHOOL

CIRM – Centre International de Rencontres Mathématiques

CONFERENCE

CIRM – Centre International de Rencontres Mathématiques

CONFERENCE

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).

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.