Previous Conferences & Workshops

Abstract: I'll give an exposition of the theory of "multiplicative polynomial laws," introduced by Roby, and how (following a suggestion of Scholze) they can be applied to the theory of commutative (flat) group schemes. This talk will feature more...

Abstract: The key principle in Grothendieck's algebraic geometry is that every commutative ring be considered as the ring of functions on some geometric object. Clausen and Scholze have introduced a categorification of algebraic and analytic...

In 2001, Conrey, Farmer, Keating, Rubinstein, and Snaith developed a "recipe" utilizing heuristic arguments to predict the asymptotics of moments of various families of L-functions. This heuristic was later extended by Andrade and Keating to include...

Abstract: For a reductive group $G$, its $B_{d}R^{+}$-affine Grassmannian is defined as the étale (equivalently, v-) sheafification of the presheaf quotient $LG/L^{+}G$ of the $B_{d}R$-loop group $LG$ by the $B_{d}R^{+}$-loop subgroup $L^{+}G$. We...

Abstract: Let p be a prime number. Emerton introduced the p-adically completed cohomology, which admits a representation of some p-adic group and can be thought of as some spaces of p-adic automorphic forms. In this talk, I want to explain that for...

Abstract: I will discuss the formulation and sketch the proofs of duality theorems for the geometric and arithmetic p-adic pro-étale cohomology of Stein spaces. This is based on a joint work with Pierre Colmez and Sally Gilles.

What do graph matchings and independent vertex sets have to do with the cohomology of products of projective lines? I will share with you an example in the study of “equivariant log-concavity”, which enriches the notion of log-concavity. By keeping...

Abstract: We will explain how to construct a Kirillov model for Emerton's completed cohomology of the tower of modular curves. The trickiest part is to prove injectivity of this model.  This is joint work with Shanwen Wang.