Events and Activities

A few years ago, I was introduced to a surprising result of Payan stating that certain highly symmetric "cube-like" graphs cannot have chromatic number exactly $3$. (Specifically, his result applies to graphs on vertex set $(\mathbf{Z}/2\mathbf{Z})...

The Chebotarev density theorem is a powerful tool in number theory, in part because it guarantees the existence of primes whose Frobenius lies in a given conjugacy class in a fixed Galois extension of number fields.  However, for some applications...

Sponsored by the Minerva Research Foundation

Abstract: Projection theory asks how the size of a set in $R^n$—often measured by Hausdorff...

The study of descriptive set theory in the context of determinacy axioms began nearly 60 years ago. The context for this study is now understood to be the Axiom AD+, which is a refinement of the Axiom of Determinacy (AD).  The objects of this study...

I will discuss compatibility of the canonical $G$-valued $l$-adic local systems on Shimura varieties of non-abelian type $G$. In previous work with Klevdal, we settled this for the projections of the local systems to the adjoint group of $G$, and...

Abstract: Ever since Cohen invented forcing and showed the independence of the continuum hypothesis (CH), the powerset function of infinite cardinals has been a central theme in modern set theory. In this talk we will focus of the behavior of the...