Past Events

There is an emerging interest in understanding the behavior of partial differential equations on graphs G=(V,E). The classic approach is to think of a graph as a (discretized) compact manifold without boundary (since there is no `complement', no...

The global population with access to electricity is constantly increasing from 84 to 92 percent. However, as the world continues to advance towards sustainable energy targets, there still exist 900 million people living without access to electricity...

Throughout scientific and commercial domains, we are often interested in separating mixed signals into their component sources. Supervised deep learning is state-of-the-art when large and well-labeled datasets can be used. But in many applications...

We obtain symmetry results of the solution to some overdetermined problems related to the eigenvalue equation on a weakly star shaped annular domain in space forms. If the associated P-function is constant on the boundary, then we get a Serrin type...

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...