Past Events

Observing a sample of random variables, we wish to decide whether or not some hypothesis about the distribution of the observed sample is correct. A decision procedure for such a problem is called a statistical test of the hypothesis under...

Techniques developed for transcendental number theory have had many surprising applications in the study of purely arithmetic questions. The aim of our talk will be to discuss this phenomenon. Speaker Bio: Cameron L. Stewart is a University Professor...

I give a new explicit bound for the Riemann zeta function on the critical line. This is joint work with Dhir Patel and Andrew Yang. The context of this work highlights the importance of reliability and reproducibility of explicit bounds in analytic...

I will describe the large-scale behavior of a random growth model (Internal DLA) on random planar maps which approximate a random fractal surface embedded in the plane (Liouville quantum gravity, LQG). No prior knowledge of these objects will be...

The Abelian sandpile growth model has a fascinating fractal structure. I will give an overview of what we know on deterministic and random lattices and discuss several open questions. There are connections to circle packings, rational approximation...

Abstract: Elliptic curves are one of the major objects of study in number theory. Over finite fields, their zeta functions were proven to be rational by F. K. Schmidt in 1931. In 1985, R. Schoof devised an algorithm to compute zeta functions of...

This talk will discuss Chern--Schwartz--MacPherson (CSM) classes over classical flag varieties. After a brief introduction to CSM classes, we will explain our main theorem --- an equivariant CSM Pieri and Murnaghan--Nakayama rule which includes as...

In Arnaud's talk, we saw that the 2-dimensional TQFT category is equivalent to the category of commutative Frobenius algebras with isomorphisms. In this sequel to Arnaud's talk, we take a closer look at Frobenius algebras. We will explore their...

In the last decades, since the first experimental realizations of Bose- Einstein condensates, the study of large bosonic systems has been a very active field of research both in physics and in mathematics. In this talk we address a question strictly...

Hillel Furstenberg conjectured in the 1960s that the intersections of closed ×2 and ×3-invariant Cantor sets have “small” Hausdorff dimension. This conjecture was proved independently by Meng Wu and by myself; recently, Tim Austin found a simple...