Previous Conferences & Workshops

The Tate conjecture predicts that in many instances, Langlands functoriality should be given by algebraic cycle classes. In previous joint work with Ichino, we showed that the Jacquet-Langlands correspondence for cohomological modular forms on GL(2)...

The purpose of this talk is to ask a single question: what is the correct definition of intersection theory on varieties? Join me, as we travel through space and time from the ancient origins of enumerative geometry, through Fulton-MacPherson's work...

The notion of $p$-adic shtukas are introduced by Scholze in his Berkeley lectures on $p$-adic geometry. They are closely related to $p$-divisible groups when their ``legs" are bounded by some minuscule cocharacter. But compared to $p$-divisible...

In topology, the choice of a spin structure on an oriented surface gives a quadratic refinement of the intersection form on mod 2 homology. There is a similar story about 3-manifolds. I will report on joint work (in progress) with Artane Siad where...

A recent line of work has shown a surprising connection between multicalibration, a multi-group fairness notion, and omniprediction, a learning paradigm that provides simultaneous loss minimization guarantees for a large family of loss functions...

We study the probability that a geodesic passes through a prescribed edge in first-passage percolation on Z^d. Benjamini, Kalai and Schramm conjectured that this probability tends to zero as the length of the geodesic tends to infinity, as long as...

We will globalize the notion of solid modules to an arbitrary scheme/discrete adic space.