Centers and traces of categorified affine Hecke algebras (or, some tricks with coherent complexes on the Steinberg variety)

Centers and traces of categorified affine Hecke algebras (or, some tricks with coherent complexes on the Steinberg variety)

Thu, 21/02
15:30 		Anatoly Preygel (UC Berkeley) Algebraic and Symplectic Geometry Seminar Add to calendar L2
Centers and traces of categorified affine Hecke algebras (or, some tricks with coherent complexes on the Steinberg variety)
The bounded coherent dg-category on (suitable versions of) the Steinberg stack of a reductive group G is a categorification of the affine Hecke algebra in representation theory.  We discuss how to describe the center and universal trace of this monoidal dg-category.  Many of the techniques involved are very general, and the description makes use of the notion of "odd micro-support" of coherent complexes.  This is joint work with Ben-Zvi and Nadler.