Abstract: One of the principles of the endoscopic classification
is that if an automorphic representation of a classical group is
non-tempered at any place, then it should arise as a transfer from
an endoscopic subgroup. One also knows that any...
Abstract: One of the principles of the endoscopic classification
is that if an automorphic representation of a classical group is
non-tempered at any place, then it should arise as a transfer from
an endoscopic subgroup. One also knows that any...
Abstract: The analytic torsion of a compact Riemannian manifold
is a certain invariant which is defined via the Laplace-Beltrami
operator. By the Cheeger-Mueller theorem it equals the Reidemeister
torsion of that manifold and can therefore often be...
Abstract: Let $R>0$. The R-thin part of a locally symmetric
space is defined as the set of points where the R-ball is not
isometric to an R-ball in the universal cover. Recently Abert et
al. showed that if X is a higher rank symmetric space whose...
Abstract: Let G be a connected reductive group over a p-adic
field F and let $\pi$ be an irreducible admissible representation of
$G(\overline{F})$. Due to Harish-Chandra, there is a development of
the character of $\pi$ near the origin and we can...
Rankin-Selberg integrals provide factorization of certain period
integrals into local counterparts. Other, more elusive, periods can
be studied in principle by the relative trace formula and other
methods.
I will discuss Knop's paper generalizing Harish-Chandra's
isomorphism for the center of the universal enveloping algebra to
the setting of spherical varieties. Here the center is replaced by
the algebra of invariant differential operators. The idea...
Rankin-Selberg integrals provide factorization of certain period
integrals into local counterparts. Other, more elusive, periods can
be studied in principle by the relative trace formula and other
methods.
I will explain an application of the geometric Satake
correspondence (in its derived form due to
Bezrukavnikov-Finkelberg) to the study of differential operators on
$G$-spaces (for $G$ complex reductive) and its classical version,
the study of...
