Anurag Singh : Differential operators on invariant rings

Posted by Wenliang Zhang , part of the Commutative Algebra Seminar.

At

Sept. 11, 2019, 4 p.m.

In

1227 SEO

Abstract

Work of Levasseur and Stafford describes the rings of differential operators on various classical invariant rings of characteristic zero; in each of these cases, the differential operators form a simple ring. Towards an attack on the simplicity of rings of differential operators on invariant rings of reductive groups over the complex numbers, Smith and Van den Bergh asked if reduction modulo p works for differential operators in this context. In joint work with Jack Jeffries, we establish that this is not the case for various classical groups.