Conferences and Meetings on Geometry and Topology

ICERM

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.

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

The Fields Institute for Research in Mathematical Sciences

The focal point of circle packing theory is the Koebe-Andre'ev-Thurston Theorem that gives conditions that guarantee the existence and rigidity of circle packings on closed surfaces in the pattern of a given triangulation of the surface. The theorem was discovered by Bill Thurston in the late seventies and represents a rediscovery and broad generalization of a theorem of Paul Koebe from 1936, and has an interpretation that recovers a characterization of certain three-dimensional hyperbolic polyhedra due to Andre'ev from 1971. Since Thurston'e 1985 Purdue talk that showed how to use the theorem to build a scheme for approximating the Riemann mapping of a simply connected proper domain in the plane to the unit disk, the theory of circle packing has enjoyed enormous development and has found both theoretical and practical applications in a wide variety of venues. This workshop will bring together experts from a wide variety of backgrounds who have an interest in packings.

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

University of Copenhagen, Department of Mathematical Sciences

The Young Geometers Meeting is a workshop focused on differential geometry and geometric analysis taking place in Copenhagen April, 19-23, 2021. The meeting is intended as an opportunity for graduate students, recent PhDs, and other junior researchers in geometry to meet each other and share their work.In addition to short talks by the participants, the program for the meeting will include lectures by Anna Dall'Acqua (Ulm University), Oliver Schnürer (University of Konstanz) and Antoine Song (UC Berkeley). We accept online contributions and all talks will be live streamed via Zoom.

Email: ygm21@math.ku.dk

CIRM – Centre International de Rencontres Mathématiques

CIRM IHP PROGRAM

Mathematical Sciences Research Institute (MSRI)

The talks in this workshop will present a wide array of current applications of topology in neuroscience, including classification and synthesis of neuron morphologies, analysis of synaptic plasticity, algebraic analysis of the neural code, topological analysis of neural networks and their dynamics, topological decoding of neural activity, diagnosis of traumatic brain injuries, and topological biomarkers for psychiatric disease. Some of the talks will be devoted to promising new directions in algebraic topology that have been inspired by neuroscience.

MRSI – Mathematical Sciences Research Institute, Berkeley

The talks in this workshop will present a wide array of current applications of topology in neuroscience, including classification and synthesis of neuron morphologies, analysis of synaptic plasticity, algebraic analysis of the neural code, topological analysis of neural networks and their dynamics, topological decoding of neural activity, diagnosis of traumatic brain injuries, and topological biomarkers for psychiatric disease. Some of the talks will be devoted to promising new directions in algebraic topology that have been inspired by neuroscience.

Neural Networks and Artificial Intelligence, Machine Learning,    Neurology

The Fields Institute for Research in Mathematical Sciences

Distance geometry is a research area bridging mathematics and computer science with applicability to practical problems in a wide range of disciplines. In the majority of the applications, we are given an incomplete list of distances between pairs of objects, and we seek positions in Euclidean space realizing those distances. Classical applications include topics as protein conformation determination and sensor network localization, while emerging applications range from the study of molecular nanostructure to the adaptation of human movements in simulated environments. Distance geometry is also used in important data science applications such as compressed sensing, low rank matrix completion, and visualization of high-dimensional data.

Algebra,    Scientific Computing

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.

Courses and Events for Math Students and Early Career Researchers,    Algebra

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

Conformal geometry is the study of properties of spaces and mappings which depend on the measurement of angles but not of lengths. An example is the stereographic projection mapping from a sphere to a plane, which distorts lengths but preserves angles. Mathematicians have made much progress in recent years in the study of conformal geometry by using and developing new tools and methods from a variety of mathematical fields, including analysis, non-linear PDE and topology. This workshop will bring together experts from a variety of mathematical backgrounds with the goal of furthering our understanding of conformal geometry and its complex number analogue, CR geometry.

Courses and Events for Math Students and Early Career Researchers,    Calculus, Differential Equations and Integration

The Fields Institute for Research in Mathematical Sciences

This is the 17th in the sequence of annual workshops traditionally held in the month of May at Nipissing University. Among our participants, we expect to have a number of prominent mathematicians from Canada, USA and abroad. The purpose of these workshops/seminars has been mainly to provide opportunities to researchers to learn a new area as well as opportunity to collaborate. As a result of these workshops there have been numerous collaborations dealing with problems in dimension theory, geometric topology, C*-algebras, set-theoretic topology, continuum theory and complex dynamics.

The Fields Institute for Research in Mathematical Sciences

Graph Theory and Combinatorics,    Neural Networks and Artificial Intelligence, Machine Learning

The Fields Institute for Research in Mathematical Sciences

Geometry and topology have been areas of excellence for mathematical research in Canada for many decades. This includes significant and on-going contributions in a diverse array of topics including low dimensional topology, geometric group theory, symplectic topology and geometry, homotopy theory, geometric topology, geometric analysis, algebraic geometry, etc. Soon after the summer 2015 staging of the highly successful PIMS Symposium on the Geometry and Topology of Manifolds, it was proposed that a pan-Canadian biennial workshop focused on geometry and topology be organised as a joint venture of the CRM, the Fields Institute, and PIMS. The first CGTS was held at the Fields Institute during March of 2018 and future venues will rotate around the country with Montreal the site of the the second CGTS.

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.

Algebra,    Quantum Mechanics and Quantum Information Theory

The Computational Geometry Week (CG Week 2021) is the premier international forum for advances in computational geometry and its many applications.

New Mexico State University, Las Cruces, NM

BLAST is a conference series focusing on Boolean Algebras Lattices, Algebraic and Quantum logic Universal Algebra Set Theory Set-theoretic and Point-free Topology

Mathematical Logic and Foundations,    Algebra

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

The Fields Institute for Research in Mathematical Sciences

This conference is in celebration of Professor Aiden Bruen's 80th birthday, to acknowledge and honour Professor Bruen's contributions to geometry, design theory, coding theory, and combinatorics at large. Professor Bruen's research covers many areas, including geometry, error-control codes, and cryptography.

The Fields Institute for Research in Mathematical Sciences

Algebra,    Algorithms and Data Structues

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.

Courses and Events for Math Students and Early Career Researchers,    Algebra

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

Courses and Events for Math Students and Early Career Researchers,    Algebra

The Fields Institute for Research in Mathematical Sciences

Spec(Q) is the first conference to celebrate and promote research advances of LGBT2Q mathematicians specialising in algebraic geometry, arithmetic geometry, commutative algebra, and number theory. This conference capitalises on recent thematic program successes in algebraic geometry at Fields

Algebra,    Number Theory, Arithmetic

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

Courses and Events for Math Students and Early Career Researchers,    Analysis

Applied and computational topology, one of the most rapidly growing branches of mathematics, is becoming a key tool in applied sciences. It is making impact not only in mathematics, but on the wide interdisciplinary environment including material and medical sciences, data science, robotics.

Centre of Geometry and Topology at the University of Copenhagen

In this Masterclass, we will learn about the high dimensional cohomology of moduli spaces such as the moduli space of curves, graphs, and lattices. These moduli spaces are classifying spaces of groups such as mapping class groups, automorphism groups of free groups, and arithmetic groups. We will learn about duality groups whose high dimensional cohomology of these moduli spaces is related to the low degree homology groups with twisted coefficients. We will also discuss graph homology and tropical curves.

The masterclass is aimed at advanced graduate students and postdocs with an interest in algebraic topology and geometric group theory. Connections with algebraic geometry and number theory will be mentioned but this is not the primary focus.

Email: patzt@math.ku.dk

Group cohomology, moduli spaces, duality groups, geometric group theory, arithmetic groups

Number Theory, Arithmetic,    Group Theory

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

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.

Courses and Events for Math Students and Early Career Researchers,    Group Theory

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

MRSI – Mathematical Sciences Research Institute, Berkeley | University of Oxford, United Kingdom

The purpose of the summer school is to introduce graduate students to key mainstream directions in the recent development of geometry, which sprang from Riemannian Geometry in an attempt to use its methods in various contexts of non-smooth geometry. This concerns recent developments in metric generalizations of the theory of nonpositively curved spaces and discretizations of methods in geometry, geometric measure theory and global analysis. The metric geometry perspective gave rise to new results and problems in Riemannian Geometry as well.

Analysis,    Courses and Events for Math Students and Early Career Researchers

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.

Algebra,    Courses and Events for Math Students and Early Career Researchers

University of Portsmouth, School of Mathematics and Physics

Phone: [02392846358];     Email: ittay.weiss@port.ac.uk

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

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.

Courses and Events for Math Students and Early Career Researchers,    Number Theory, Arithmetic

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

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.

Courses and Events for Math Students and Early Career Researchers,    Number Theory, Arithmetic

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.

Algebra,    Courses and Events for Math Students and Early Career Researchers

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.

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.

Courses and Events for Math Students and Early Career Researchers,    Algebra

Lukas Lewark (University of Regensburg), Claudius Zibrowius (University of Regensburg)

We are organizing a student workshop based around recent developments in link homology theories, with particular focus on Khovanov homology and other quantum homology theories. The workshop will be paired with and provide background for a two-day research conference.

Email: claudius.zibrowius.delete-me@ur.de

link homology theories, quantum invariants, geometric topology, higher representation theory

The GTA 2021 conference will bring together world class researchers in mathematics and computer science. 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. While contributions from all related areas of mathematics and computer science are welcome, particular emphasis will be placed on research interests of our late colleague Alexey Zykin, namely: global fields and abelian varieties; zeta-functions and L-functions; algebraic geometry over finite fields; their applications to cryptography, error-correcting codes, sphere packing, etc.

Algebra,    Number Theory, Arithmetic

Society for Industrial and Applied Mathematics (SIAM)

Prof. Dr. Murat Tosun , Sakarya University , TURKEY

It is our great pleasure to invite you to the 10th International Eurasian Conference on Mathematical Sciences and Applications (IECMSA-2021). Unfortunately, the whole world including our research community has faced an unusual, dangerous challenge connected with the new COVID-19 and one impact of this virus has placed constraints on the ability of researchers to join a face-to-face meeting. As the health and safety of everyone is our priority, IECMSA will proceed with our annual gathering this year through a virtual conference, instead of an in-person event.

Phone: [+905332313321];     Email: conference@iecmsa.org murattosun@iecmsa.org

Algebra · Applied Mathematics · Discrete Mathematics · Finite Mathematics · Fractals · Geometry · History of Mathematics · Logic · Analysis · Number Theory · Numerical Analysis · Topology · Computational Mathematics · Cross-disciplinary areas of Mathematics

Applied Mathematics (in general),    Algebra

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.

Courses and Events for Math Students and Early Career Researchers,    Algebra

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.

Algebra,    Information Theory, Foundations of Computer Science

University of Regensburg

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.

Algebra,    Calculus, Differential Equations and Integration

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

The Fields Institute for Research in Mathematical Sciences

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

Algebra,    Courses and Events for Math Students and Early Career Researchers

The Fields Institute for Research in Mathematical Sciences

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

Algebra,    Courses and Events for Math Students and Early Career Researchers

Society for Industrial and Applied Mathematics (SIAM)

Computational Physics and Numerical Simulation,    Modeling and Simulation

Lake Como School of Advanced Studies

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

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.

CIRM – Centre International de Rencontres Mathématiques

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

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.

Group Theory,    Number Theory, Arithmetic

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

Convex geometry and partial differential equations are two important mathematical branches. A constantly growing interaction between them in the last decades has resulted in significant progress in both areas. The goal is to solve questions in analysis, by combining the (affine) geometry of convex bodies and methods from partial differential equations, in particular, Monge-Ampere type equations. First major results include affine inequalities that are stronger than their Euclidean counterparts. Applications appear in information theory, probability theory and stochastic geometry.

Courses and Events for Math Students and Early Career Researchers,    Calculus, Differential Equations and Integration

CIRM – Centre International de Rencontres Mathématiques

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

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

Algebra,    Analysis

CIRM – Centre International de Rencontres Mathématiques

CONFERENCE

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

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

Courses and Events for Math Students and Early Career Researchers,    Group Theory

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

CIRM – Centre International de Rencontres Mathématiques

CONFERENCE

ICERM

Braids are deeply entwined with low-dimensional topology. Closed braids are knots and links, while viewing braid groups as surface mapping class groups connects the topic to fundamental constructions of three- and four-manifolds. The question of how properties of braids or mapping classes reflect the associated manifolds arises in Dehn surgery, link invariants, and contact and symplectic geometry. The workshop will highlight recent advances in these and other areas of low-dimensional topology where braids and mapping classes play a significant role. The workshop will also explore related algorithms, with an eye towards their (efficient) implementation.

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

CIRM – Centre International de Rencontres Mathématiques

CONFERENCE

CIRM – Centre International de Rencontres Mathématiques

CONFERENCE

CIRM – Centre International de Rencontres Mathématiques

RESEARCH SCHOOL

The Fields Institute for Research in Mathematical Sciences

Algebra,    Analysis

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

CIRM – Centre International de Rencontres Mathématiques

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.

Algebra,    Number Theory, Arithmetic

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

Courses and Events for Math Students and Early Career Researchers,    Algebra

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

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

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

CIRM – Centre International de Rencontres Mathématiques

CIRM – Centre International de Rencontres Mathématiques

CIRM – Centre International de Rencontres Mathématiques

CIRM – Centre International de Rencontres Mathématiques

Stability, Boundedness and Fano Varieties at the Beijing International Center for Mathematical Research.