Logo

Mathematical Sciences Research Institute

Home » A vanishing theorem for D-modules, and applications to t-structures for quantized symplectic varieties

Seminar

A vanishing theorem for D-modules, and applications to t-structures for quantized symplectic varieties February 20, 2013 (03:30 PM PST - 04:30 PM PST)
Location: MSRI: Simons Auditorium
Speaker(s) Thomas Nevins (University of Illinois at Urbana-Champaign)
Description No Description

Video
No Video Uploaded
Abstract/Media

The representation theory of many interesting algebras, including various kinds of Cherednik algebras, can be approached via equivariant
D-modules: more precisely, one can construct functors (of ``quantum Hamiltonian reduction'') from categories of equivariant D-modules to representations of the algebras. I'll describe an effective combinatorial criterion for such functors to vanish on certain equivariant D-modules---equivalently, for certain equivariant D-modules to have no nonzero group-invariant elements. I will also explain consequences of this vanishing criterion for natural t-structures on the derived categories of sheaves over quantum analogs of various interesting symplectic algebraic varieties. Most of the talk will be low-tech and will presume no prior familiarity with the terms mentioned above. This is joint work with Kevin McGerty.

No Notes/Supplements Uploaded No Video Files Uploaded