Previous Conferences & Workshops

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...

In this work we prove a high dimensional analogue of the beloved Goldreich-Levin  theorem (STOC 1989), which is the first local list-decoding algorithm.  We consider the following algorithmic problem: given oracle access to a function $f: Z_q^m...

The question of producing a foliation of the n-dimensional Euclidean space with k-dimensional submanifolds which are tangent to a prescribed k-dimensional simple vectorfield is part of the celebrated Frobenius theorem: a decomposition in smooth...

We will explore some counting problems for number fields in which the conjectures formulated first by Malle and refined by Bhargava play a central role. In the process we will see some standard techniques in analytic number theory.