Conferences  >  Mathematics  >  Geometry and Topology  >  United States

Design, analysis, and implementation of geometric algorithms and data structures; Computational complexity of geometric problems; Implementation and experimental evaluation of geometric algorithms and heuristics, including mathematical, numerical, and algebraic aspects; Discrete and combinatorial geometry; Computational topology, topological data analysis, and topological combinatorics; Applications of computational geometry in any field.

Graph Theory and Combinatorics,    Numerical Analysis and Computational Mathematics

In the early 1920s, Emmy Noether introduced the fundamental concept of a Noetherian ring, a notion that has had a remarkably broad impact on mathematics over the last century. In this conference, we celebrate Noether's legacy with research talks from many areas of algebra, broadly construed, including algebraic geometry, commutative algebra, number theory, and representation theory.

Algebra,    Number Theory, Arithmetic

Mathematical Sciences Research Institute (MSRI)

This graduate summer school will introduce students to two important and inter-related fields of differential geometry: geometric flows and minimal surfaces.

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

University of California, Davis

Join us for a five-day workshop hosted by UC Davis with pending support from the NSF. Mornings will be dedicated to talks, and in the afternoons, participants will work in small groups on open problems related to connections between 4-manifold trisections and symplectic topology. The workshop will be preceded by introductory mini-courses on Zoom taking place June 22-23. Participants may register for either or both workshop components.

4-manifold trisections, symplectic topology

Mathematical Sciences Research Institute (MSRI)

The school is built around two related courses on geometric (‘derived spaces’) and categorical (‘derived categories’) aspects of the theory. Our goal is to explain the key ideas and concepts, while trying to keep technicalities to a minimum.

Mathematical Sciences Research Institute (MSRI)

The goal of the summer school is for the students to first become familiar with the concept of concentration of measure in different settings (Euclidean, Riemannian and discrete), and the main open problems surrounding it. The students will later become familiar with the proof techniques that involve the different types of localization and obtain expertise on the ways to apply the localization techniques. After attending the graduate school, the students are expected to have the necessary background that would give them a chance to both conduct research around open problems in concentration of measure, find new applications to existing localization techniques and perhaps also develop new localization techniques.

Courses and Events for Math Students and Early Career Researchers,    Probability and Statistics, Game Theory

ICERM

This will be a one-week conference broadly focused on the topics of the LMFDB, mathematical databases, computation, number theory, and arithmetic geometry. The conference will include invited talks, presentations by authors of papers submitted to the conference and selected by the scientific committee following peer-review, as well as time set aside for research and collaboration. This workshop is an activity of the Simons Collaboration 'Arithmetic Geometry, Number Theory, and Computation' and is supported by the Simons Foundation.

Program Staff;     Phone: [1-401-863-5030];     Email: info@icerm.brown.edu

Number Theory, Arithmetic,    Numerical Analysis and Computational Mathematics

University of Oregon, Eugene

In this workshop we will explore the structure of these categorified Coulomb branches. The simplest (!) example of a categorified Coulomb branch is the coherent Satake category, that is, the category of perverse coherent sheaves on the affine Grassmannian of a complex reductive group (such as GL_n). This is the coherent analogue of the more classical (constructible) Satake category which plays a fundamental role in the geometric Langlands program. We don't expect participants to know what many of those words mean, but they will by the end of the workshop!

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

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

American Institute of Mathematics (AIM)

This workshop, sponsored by AIM and the NSF, will bring together theorists and computationalists to collaborate on understanding how computational considerations impact the practice of applied topology, and what new challenges for computation we must solve to bridge theory to applications.

American Institute of Mathematics (AIM)

This workshop, sponsored by AIM and the NSF, will be devoted to the recent developments in the intersection of Khovanov-Rozansky homology, affine Springer fibers, Hilbert schemes and link homology, and combinatorics.

Algebra,    Graph Theory and Combinatorics

This will be a workshop in Algebraic Geometry, in topics (tangentially) related to the Stacks project. The participants who apply and are accepted will be graduate students, post-docs, or even senior researchers. Roughly the idea is that they will learn about and work on a single topic in a small group together with a mentor for a week. Part of this process will be seeing how one builds new theory from the foundations. There will also be some talks each day covering advanced topics in algebraic geometry. Mathematicians not in the groups are welcome to come to these talks.

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

American Institute of Mathematics (AIM)

This workshop, sponsored by AIM and the NSF, will be devoted to working on open problems relating quantum invariants to low-dimensional topology and geometry.

This is a residential summer school on the theme of translating notions in manifold topology to a symplectic setting.

Mathematical Sciences Research Institute (MSRI)

This workshop brings together experts from different areas to discuss and foster collaboration on several topics of current interest related to Artin groups such as the K(π, 1) conjecture, hyperplane arrangements and abelian arrangements, combinatorial structures associated with dual Coxeter systems, and complexes of nonpositive curvature.

Group Theory,    Graph Theory and Combinatorics

Mathematical Sciences Research Institute (MSRI)

This workshop will give an overview of recent developments in non-commutative algebraic geometry, including NC projective AG, NC resolutions, semiorthogonal decompositions, enhancements of derived categories, and connections to homological mirror symmetry, to enumerative AG, to moduli spaces and to birational geometry. It will in particular focus on speakers who have built new bridges between these topics.