Invariant differential operators on spherical varieties (continued)

Locally Symmetric Spaces Seminar
Topic:Invariant differential operators on spherical varieties (continued)
Speaker:Jonathan Wang
Affiliation:Member, School of Mathematics
Date:Tuesday, February 27
Time/Room:10:00am - 12:00pm/Dilworth Room

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 is to consider a non-commutative analog of the moment map and reduce to the commutative case by taking associated graded. To address the graded case, I will discuss further properties of the geometry of the cotangent bundle and moment map.