Previous Conferences & Workshops

The braid group B_{2g+1} has a description in terms of the hyperelliptic mapping class group of a curve X of genus g.  This equips it with an action on V = H_1(X), and we may produce a wealth of new representations S^{\lambda}(V) by applying Schur...

A basic question in arithmetic statistics is:  what does the Selmer group of a random abelian variety look like?  This question is governed by the Poonen-Rains heuristics, later generalized by Bhargava-Kane-Lenstra-Poonen-Rains, which predict, for...

I will discuss the following conjecture: an irreducible $\bar{Q}$$_{\ell}$-local system L on a smooth complex algebraic variety S arises in cohomology of a family of varieties over S if and only if L can be extended to an etale local system over...

Can we reconstruct a function by knowing only a subset of its values and a subset of the values of the function's Fourier transform?
How many values do we need to know for such a reconstruction? Can we interpolate a given subset of values? What are...

High dimensional expanders are an exciting generalization of expander graphs to hypergraphs and other set systems.  Loosely speaking, high dimensional expanders are sparse approximation to the complete hypergraph.  In this talk, we’ll give a gentle...

In a recent article, Vladimir Drinfeld proposed (using prismatic F-gauges) new "Shimurian" analogs of the stack of n-truncated Barsotti-Tate groups. I will give an overview of Drinfeld’s work and the relation to the prismatic Dieudonné theory of...