Past Events

Given an abelian variety G defined over a field of characteristic 0, the intersection between a subvariety X of G with another subvariety Y of G for which dim(X) + dim(Y) dim(G) is generally expected to be empty. Rooted in this basic observation...

Last time, we discussed simplicial complexes and homological properties of their face rings. Every simplicial complex defines a toric space called its moment-angle complex. We'll discuss the construction, examples, its cellular structure, and some...

An abstract discrete dynamical system consists of a set X and a self-map f from X to itself. Dynamics studies the orbits of points of X under repeated application of f. When X and f are defined by polynomials, algebraic geometry comes into play, and...

We are extremely pleased to announce that Dr. Inwon Kim, Professor of Mathematics at UCLA, will deliver an upcoming lecture in the Hugh C. Morris Lecture Series. Dr. Kim is internationally recognized for her influential work in analysis and PDEs...

Donaldson–Thomas and Pandharipande–Thomas invariants are two ways of counting curves in Calabi-Yau 3-folds, related by a change of stability conditions. Wall-crossing is a technique that allows us to compare enumerative invariants under such a change...

Advances in protein folding and structure prediction models have enabled new computational approaches to immunotherapeutic research by providing access to high-quality structural information at scale. In this talk, we present three core application...

Differential equations can be studied from a purely geometric point of view, translating many constructions from finite-dimensional differential geometry into their language. This approach helps to clarify such notions as symmetries, conservation...

Model categories provide a powerful framework for abstract homotopy theory, but their complexity often makes them difficult to classify. By focusing on finite categories, especially grids, we gain a combinatorial setting where the problem becomes...

Not all convex functions have finite minimizers; some can only be minimized by a sequence as it heads to infinity. In this work, we aim to develop a theory for understanding such minimizers at infinity. We study astral space, a compact extension of...

We will discuss a class of ideals in a polynomial ring studied by Mark Haiman in his work on the Hilbert scheme of points and discuss how they are related to homology of affine Springer fibers, Khovanov-Rozansky homology of links, and to a conjecture...