Video Lectures

Recently the work of Fargues--Scholze provides a geometrization of the local Langlands conjecture. It is natural to ask if in this context any form of local-global compatibility can be stated/verified. We discuss some expectations and evidences...

The p-adic Simpson correspondence aims to give a non-abelian generalisation of the Hodge-Tate decomposition. Following an idea of Faltings, it should relate pro-étale vector bundles on smooth rigid spaces over Cp to Higgs bundles. In this talk, I...

Multiplier ideals and test ideals are ways to measure singularities in characteristic zero and p > 0 respectively.  In characteristic zero, multiplier ideals are computed by a sufficiently large blowup by comparing the canonical module of the base...

Since the original conjectures of Beilinson and Lichtenbaum in the 80s, several versions of motivic cohomology have been introduced and developed, notably by Voevodsky. Most classically, Bloch's higher Chow groups provide the accepted theory of...

In this talk, we will show that the supremum of any centered Gaussian process can be approximated to any arbitrary accuracy by a finite dimensional Gaussian process where the dimension of the approximator is just dependent on the target error. As a...

Let H be any smooth function on R4 and let Y be any compact and regular level set. I'll explain a proof that Y admits an infinite family of proper compact subsets that are invariant under the Hamiltonian flow, which moreover have dense union in Y...

Strong inversions are a class of order-2 symmetries of knots in . Building on work of Seidel-Smith, Lidman-Manolescu, Stoffregen-Zhang, and others, we will describe a relationship between the Khovanov homology of a knot with a strong inversion and...

Sponsored by the Minerva Research Foundation. In 2014, Fargues realized that one can formulate the local Langlands correspondence over p-adic fields as a geometric Langlands correspondence on the Fargues-Fontaine curve. This raises the question of a...

In 2014, Fargues realized that one can formulate the local Langlands correspondence over p-adic fields as a geometric Langlands correspondence on the Fargues-Fontaine curve. This raises the question of a similar realization of the local Langlands...

Edit distance is a similarity measure for strings that counts how many characters have to be deleted, inserted or substituted in one string to get another one. It has many applications from comparing DNA sequences to text processing. We are still in...