Abstract: In usual Hida theory, one constructs a module over
weight space whose specialitzation to sufficiently regular weight
is a space over classical ordinary modular forms. The goal of
higher Hida theory is to construct a perfect complex of...
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: We will describe new algorithms to compute an explicit
finite simplicial model for compact, congruence locally symmetric
spaces and Hecke actions thereon. Joint work with Aurel Page.
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...
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...