Upcoming Events

Abstract

The Breuil-Mezard Conjecture predicts the existence of hypothetical "Breuil-Mezard cycles" in the moduli space of mod p Galois representations of Gal_{Q_p} that should govern congruences between mod p automorphic forms. I will talk about joint work with Bao Le Hung on a new approach to the…

Abstract

Abstract

Abstract

I will introduce and discuss a remarkable class of algebraic varieties, called braid varieties. These include all open Richardson and positroid varieties, and are closely related to augmentation varieties for Legendrian links. The topology of braid varieties is related to various link invariants…

Abstract

In 2013, Zhang showed that there exists some integer h for which p and p+h are both prime infinitely often. Equidistribution estimates for primes in arithmetic progressions to smooth moduli were a key ingredient of his work. In this talk, I will sketch what role these estimates play in proofs of…