Moment map and orbital integrals
In the Langlands program, it is essential to understand spaces of Schwartz measures on quotient stacks like the (twisted) adjoint quotient of a reductive group. The generalization of this problem to spherical varieties calls for an understanding of the double quotient H\G/H, where H is a spherical subgroup of G. This has been studied by Richardson for symmetric spaces. In this talk, I will present a new approach, for spherical varieties "of rank one", based on Friedrich Knop's theory of the moment map and the invariant collective motion.
Type: NATURAL SCIENCES, LECTURE/TALK, and PANEL/SEMINAR/COLLOQUIUM
Contact: Kristen Gerondelis