Abstract: I will introduce the mod p derived spherical Hecke
algebra of a p-adic group, and discuss its structure via a derived
version of the Satake homomorphism. Then, I will survey some
speculations about its action on the cohomology of...
Abstract: I will report on ongoing computations, with G. Dispinescu
and W. Niziol, of the p-adic etale cohomology of the Drinfield
tower, and applications to the p-adic local Langlands
correspondence.
Abstract: I will discuss the following question: is Langlands
functoriality given by algebraic cycles? After a survey of some
examples of interest, the talk will focus mostly on one case,
namely that of inner forms GL(2) over a totally real field...
We prove the existence and the linear stability of Cantor families
of small amplitude time quasi-periodic standing water waves
solutions, namely periodic and even in the space variable $x$, of a
bi-dimensional ocean with finite depth under the...
We present an explicit pseudorandom generator with seed length
$\tilde{O}((\log n)^{w+1})$ for read-once, oblivious, width $w$
branching programs that can read their input bits in any order.
This improves upon the work of Impaggliazzo, Meka and...
Abstract: In this talk, I will give a new construction of the
Morse-Bott cochain complex, where the underlying vector space is
generated by the cohomology of the critical manifolds. This new
construction has two nice features: (1) It requires the...
The language edit distance is a significant generalization of
two basic problems in computer science: parsing and string edit
distance computation. Given any context free grammar, it computes
the minimum number of insertions, deletions and...
I will give examples and motivations, about the local systems/Higgs
bundles correspondence, the case of variations of Hodge structures
and the case of irregular singularities. I hope this will help to
enjoy the forthcoming lectures of T. Mochizuki...
Let $D$ be a central division algebra of degree $n$ over a field
$K$. One defines the genus gen$(D)$ of $D$ as the set of classes
$[D']$ in the Brauer group Br$(K)$ where $D'$ is a central division
$K$-algebra of degree $n$ having the same...
I will consider the energy-critical wave maps equation with values
in the sphere in the equivariant case, that is for symmetric
initial data. It is known that if the initial data has small
energy, then the corresponding solution scatters. Moreover...
