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...
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...
We will describe an implementation of the Wiener theorem in $L^1$
type convolution algebras in the setting of spectral theory. In
joint work with Marius Beceanu we obtained a structure theorem for
the wave operators by this method.
In 1880, Markoff studied a cubic Diophantine equation in three
variables now known as the Markoff equation, and observed that its
integral solutions satisfy a form of nonlinear descent.
Generalizing this, we consider families of log Calabi-Yau...
