Previous Conferences & Workshops

We ask the question, “how does the infinite $q$-Pochhammer symbol transform under modular transformations?” and connect the answer to that question to the Stark conjectures. The infinite $q$-Pochhammer symbol transforms by a generalized factor of...

Classical probability theory is set up to handle random variables whose values are a single complex number. What happens if our random variable is instead a multi-set of complex numbers? For example, on the group of n by n orthogonal matrices, you...

I will discuss infinite-dimensional linear programs producing bounds on the spectral gap in various settings. This includes new bounds on the spectral gap of hyperbolic manifolds as well as the Cohn+Elkies bound on the density of sphere packings...

In this talk, we introduce the analytic de Rham stack for rigid varieties over $Q_p$ (and more general analytic stacks). This object is an analytic incarnation of the (algebraic) de Rham stack of Simpson, and encodes a theory of analytic D-modules...

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...

I will explain what the question means and how to make it precise. Then I will give a conjectural answer. This is based on joint work with Peter Scholze.

The theory of matroids provides a unified abstract treatment of the concept of dependence in linear algebra and graph theory. In this talk we explain Bergman fans of matroids, and we investigate isomorphisms of Bergman fans for different fan...