Konferenzen zum Thema Geometrie und Topologie in den Vereinigten Staaten (USA)

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.

Georgia Institute of Technology, Department of Mathematics

This will be the tenth annual Tech Topology Conference, but the first held online. There will be seven invited speakers, and participants are welcome to sign up to give lightning talks (which are only five minutes long). The deadline to submit a proposal for a lightning talk is October 23rd. There will also be opportunities to socialize, and meet fellow topologists even with the online format.

topology

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.

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.

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

Algebra,    Kurse und Veranstaltungen für Studenten der Mathematik

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.

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

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

Algebra,    Graphentheorie und Kombinatorik

REACT (Research Encounters in Algebraic and Combinatorial Topics) is an online workshop for graduate students that will take place February 15 - March 5, 2021 on Zoom. The goals of this workshop are: 1) To bring students together and help them build a professional network despite the limitations of the COVID-19 pandemic, and 2) To provide a collaborative research experience for students via accessible open problems in combinatorics and algebra. The first week (February 15-19) will consist of three courses, where speakers will introduce open problems in their fields. The courses are: 1) Matthias Beck (SFSU/FU Berlin), "Classifying combinatorial polynomials" 2) Martina Juhnke-Kubitzke (Universität Osnabrück) and Uwe Nagel (Kentucky), "Symmetries in algebra and combinatorics in finite and infinite settings" 3) Mateusz Michałek (Universität Konstanz), "Applications of enumerative algebraic geometry: complete quadrics in statistics." During the second and third weeks, students will work on the problems in small groups. There will also be online social activities. Please see the REACT website https://sites.google.com/view/react-2021 for course abstracts and more details.

combinatorics, commutative algebra, algebraic statistics, algebraic geometry, online, graduate students, workshop

Graphentheorie und Kombinatorik,    Algebra

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.

ICERM

The purpose of the workshop is to bring together a diverse group of researchers working on combinatorial and geometric aspects related to spaces with symmetries. The workshop will cover problems arising from various flavors of Schubert Calculus and enumerative geometry on flag manifolds, and problems from geometric representation theory and combinatorial Hodge theory. The topics covered include the study of Littlewood-Richardson coefficients, quantum cohomology and quantum K theory of flag manifolds, Maulik-Okounkov stable envelopes and characteristic classes, conformal blocks, and combinatorics related to moduli spaces, Macdonald theory, and quiver polynomials, Soergel bimodules, Hodge theory of matroids. These are trends in a rapidly developing area, and our aim is to facilitate interactions among researchers who work on different problems but employ similar techniques, at the intersection of algebraic geometry, combinatorics, and representation theory.

Email: info@icerm.brown.edu

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

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.

Neuronale Netze und Künstliche Intelligenz, Maschinelles Lernen,    Neurologie

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,    Quantenmechanik und Quanteninformation

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,    Kurse und Veranstaltungen für Studenten der Mathematik

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,    Kurse und Veranstaltungen für Studenten der Mathematik

Society for Industrial and Applied Mathematics (SIAM)

Society for Industrial and Applied Mathematics (SIAM)

Computerphysik und Numerische Simulation,    Simulation