Meetings/Workshops on Algebra in the United States (USA)

The Illustrating Mathematics program brings together mathematicians, makers, and artists who share a common interest in illustrating mathematical ideas via computational tools. The goals of the program are to: introduce mathematicians to new computational illustration tools to guide and inform their research; spark collaborations among and between mathematicians, makers and artists; and find ways to communicate research mathematics to as wide an audience as possible.

Geometry and Topology, Algebra and Number Theory, Dynamics and Probability,

Geometry and Topology,    Number Theory, Arithmetic

This workshop, sponsored by AIM and the NSF, will be devoted to studying geometric realizations of Langlands functoriality via cycles on Shimura varieties.

Mathematical Sciences Research Institute (MSRI), Berkeley

Holomorphic differentials on Riemann surfaces have long held a distinguished place in low dimensional geometry, dynamics and representation theory. Recently it has become apparent that they constitute a common feature of several other highly active areas of current research in mathematics and also at the interface with physics. In some cases the areas themselves (such as stability conditions on Fukaya-type categories, links to quantum integrable systems, or the physically derived construction of so-called spectral networks) are new, while in others the novelty lies more in the role of the holomorphic differentials (for example in the study of billiards in polygons, special - Hitchin or higher Teichmuller - components of representation varieties, asymptotic properties of Higgs bundle moduli spaces, or in new interactions with algebraic geometry).

This workshop, sponsored by AIM and the NSF, will be devoted to reviewing recent progress on K-stability of Fano varieties with an emphasis on the the algebraic theory. The organizing theme will be to investigate connections between various approaches and encourage participants from different backgrounds to share techniques.

This workshop will survey notable developments and applications of higher category theory; it will be a venue for end-users to share their vision of how to apply the theory, as well as developers to share technical advancements. It will consist of 6 series of 3 lectures, each given by instrumental end-users & developers of higher category theory, together with a few question-answer sessions. Each lecture series will be tailored to a diverse audience, accessible to graduate students and non-expert researchers with some background in homological also algebra. The content of these lecture series will concern the following topics.

AMS, American Mathematical Society

Department of Mathematics, University of Virginia, Charlottesville

This workshop celebrates the work of G.T. Whyburn Professor of Mathematics Brian J. Parshall and his collaborators. In the course of his career, together with Ed Cline and Leonard Scott (CPS) as well as with others, Brian has made important contributions to the representation theory of algebraic and quantum groups. The workshop is held on the occasion of his retirement.

Simons Center for Geometry and Physics, Long Island, NY

The theme of the workshop is structural properties of Lagrangian Floer theory and its applications. Topics will include the behavior of Floer cohomology under various kinds of surgery; formulas for the behavior of disk potentials under Lagrangian surgery or mutation; potentials with values in the Chekanov-Eliashberg dg-algebra with loop space coefficients; techniques for showing unobstructedness of Lagrangians; the construction of generators of the Fukaya category; equivariant Floer theory and relations to vortex invariants; and the classification and construction of Lagrangian submanifolds. The goal of this workshop is to develop a community of junior and senior researchers in Lagrangian Floer theory.

Johns Hopkins University

The Southern Regional Algebra Conference is an annual weekend conference that has been in existence since 1988. It serves an important role as part of the algebra research community in the Gulf Coast Region. Graduate students are strongly encouraged to participate. There is no registration fee. Presentations will be 25 minutes in length. The deadline to submit abstracts for SRAC 2020 is February 1, 2020.

Email: guy.biyogmam@gcsu.edu

Mathematical Sciences Research Institute (MRSI)

This workshop will focus on recent developments in factorization homology, parametrized homotopy theory, and algebraic K-theory. These seemingly disparate topics are unified by a common methodology, which leverages universal properties and unforeseen descent by way of higher category theory. Furthermore, they enjoy powerful and complementary roles in application to the cyclotomic trace.

This workshop, sponsored by AIM and the NSF, will be devoted to bringing together physicists and mathematicians to concentrate on a variety of problems concerning special holonomy compactifications of M-theory.

This workshop, sponsored by AIM and the NSF, will explore the applications to chromatic homotopy and algebraic K-theory of the new computational techniques in equivariant stable homotopy. The recent renaissance in equivariant stable homotopy theory has provided several new tools which allow us to better understand classical problems and carry out new computations.

This conference is part of the Shanks Workshops held at Vanderbilt University and will take place on May 18 and May 19 2020. The topics will focus on new developments around the area of partitions, and especially ranks, cranks, and other partition statistics. This will especially focus on the interaction between this field and modular type objects.

The goal is to air fresh perspectives and open problems in combinatorics and algebra, those that the speakers think will be important for the future.

This workshop, sponsored by AIM and the NSF, will be devoted to the study of the geometry and arithmetic of moduli spaces associated to dynamical systems on algebraic varieties, with a particular emphasis on dynamical systems on projective space.

Northwestern University, Evanston, IL

The goal of this summer school is to introduce participants to tools and ideas from algebraic topology and homotopy theory that are used in the study of fixed point theory. The workshop will be centered around mini-courses, both on classical fixed-point theory and on modern techniques such as duality theory, spectra, and trace methods in algebraic K-theory.

The intended audience for this summer school should be familiar with the material in Hatcher (except the appendices). This reflects our goal that the school be accessible to second and third year students with an interest in algebraic topology from any PhD granting institution. The school will be structured around a few mini-courses, which will run in an active-learning style.

Geometry and Topology,    Courses and Events for Physics Students

University of Michigan in Ann Arbor

ICERM

The structure of free resolutions plays an important role in analyzing singularities of varieties of low codimension. Codimension two Cohen-Macaulay varieties (resp. codimension three Gorenstein varieties) come from rank conditions on an n x (n+1) matrix (resp. a skew-symmetric (2n+1) x (2n+1) matrix). This workshop seeks to push such results to Cohen-Macaulay varieties of codimension three and Gorenstein varieties of codimension four.

American Institute of Mathematics

This workshop, sponsored by AIM and the NSF, will be devoted to Ehrhart polynomials and quasi-polynomials. These objects are invariants of lattice and rational polytopes that are the focus of Ehrhart Theory.

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.