Previous Conferences & Workshops

A theorem of Borel says that any holomorphic map from a complex algebraic variety to a smooth arithmetic variety is automatically an algebraic map. The key ingredient is to show that any holomorphic map from the (poly) punctured disc to the Baily...

Let $E$ be a finite degree extension of $Qp$. Given a mod p representation of the absolute Galois group of E we construct a sheaf on a punctured absolute Banach-Colmez space that should give the first step in the construction of the mod p local...

Explicit constructions of "random-like" objects play an important role in complexity theory and pseudorandomness. For many important objects such as prime numbers and rigid matrices, it remains elusive to find fast deterministic algorithms for...

Lusztig's theory of character sheaves for connected reductive groups is one of the most important developments in representation theory in the last few decades. In this talk, we will describe a construction which extends this "depth zero" picture to...

We develop on a new strategy based on point-set topology, which allows us to produce a purely p-adic statement for the crystallinity properties of rigid flat connections. 

Joint with Michael Groechenig.

Let X be a proper, smooth rigid space and G a commutative rigid group. We study the relationship between G-representations of the fundamental group of X and G-Higgs bundles on X. This is joint work with Ben Heuer and Mingjia Zhang.

Given a family of motives, the de Rham realization (a certain vector bundle with integrable "Gauss-Manin" connection) can be compared to the crystalline realizations for various primes p, but the resulting Frobenius structures cannot be directly...

While the notion of spectral gap is a fundamental and very useful feature of reversible Markov chains, there is no standard analogue of this notion for nonreversible chains. In this talk, I will present a simple proposal for spectral gap of...