Past Events

A good way to understand the structure of a finite group is through its representations. The family of representations of a group on a fixed field has several properties: it is closed by finite direct sums, by tensor products, it contains the dual...

A broad class of computational tasks can be phrased as the problem of determining whether two cooperating players, Alice and Bob, can convince a referee that a given statement involving relations between variables is true. Classic examples include...

In the late 70s, in a series of three seminal papers, Keane and Smorodinsky proved a finitary version of the Ornstein isomorphism theorem, first for Bernoulli schemes and then for Markov shifts. For Markov chains over a countable state space, the...

In this talk, I will talk about applications of the entropy method and a tool that we call the mixture bound. To demonstrate how the mixture bound can be applied, I will show how one can prove Lovász’s version of the Kruskal–Katona theorem. I will...

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...