Past Events

Modular forms are certain holomorphic functions on the upper half-plane that play a central role in number theory. In this talk, I will explain how to relate such functions to the topology of certain manifolds, showing how geometric ideas can be used...

In my talk I am going to present the ways Bowen's method of thermodynamic formalism can be extended and applied to settings other than the one we covered in the seminar last term. In particular, I am going to expand on Bowen's original motivation...

Abstract: In my talk I am going to present the ways Bowen's method of thermodynamic formalism can be extended and applied to settings other than the one we covered in the seminar last term. In particular, I am going to expand on Bowen's original...

After a brief review of the modular method, in this talk we will explain how hyperelliptic curves have emerged as an important tool in recent years to approach generalized Fermat equations.

The game of Cops and Robbers is a two-player pursuit–evasion game played on a graph, in which a set of cops attempt to capture a single robber. The players occupy vertices and take turns moving along edges; capture occurs when a cop and the robber...

We discuss a differential geometric construction of distinguished holomorphic 2-spheres inside a K3 surface. These 2-spheres degenerate to a line on an affine 3-manifold. The example illustrates a general principle in the SYZ program, where graphs on...

We study semi-discrete variational optimal-transport problems between a continuous source measure and a discrete target measure supported on a 1-d space. We identify discrete nestedness conditions that simplify the matching structure, and propose...

Recent applications in machine learning have renewed the community’s interest in min-max optimization problems. While gradient-based optimization methods are widely used to solve these problems, there exist many scenarios where such techniques are...

We are in the midst of an exciting revolution in quantum science and technology. One of the most intriguing and potentially disruptive innovations to emerge from this second revolution is the prospect of quantum computation. Serious attempts are...

This talk provides a gentle introduction to Arthur packets, a less gentle introduction to generalized local Arthur packets, and concludes with an application to a problem in quantum circuit design.