Departmental Colloquium
Chiu-Chu Melissa Liu
Columbia University
Coherent-constructible correspondence for toric varieties
Abstract: We extend the familiar assignment in toric geometry which
associates polytopes to line bundles on toric varieties
to an equivalence of categories between equivariant coherent
sheaves on a toric n-fold and constructible sheaves on R^n.
The equivalence -- the coherent-constructible correspondence
-- can be viewed as a categorification of Morelli's description
of equivariant K-theory of toric varieties in terms of a polytope
algebra. This talk is based on joint work with Bohan Fang, David
Treumann and Eric Zaslow.
Friday October 29, 2010 at 3:00 PM in SEO 636