Back to Commutative Algebra Seminar: Spring 2015
Commutative Algebra Seminar
Date: Friday, Mar 27, 2015
Time: 3:10PM - 4:00PM
Location: LCB 222
Michael Brown
University of Nebraska, Lincoln
Title |
Knoerrer periodicity and Bott periodicity |
Abstract |
The goal of my talk will be to describe a precise sense in which Knoerrer periodicity, a property of maximal Cohen-Macaulay modules over certain hypersurface rings, is a manifestation of Bott periodicity in topological K-theory. Along the way, I will introduce an 8-periodic version of Knoerrer periodicity for real isolated hypersurface singularities. I will also describe a map from the Grothendieck group of the triangulated category of matrix factorizations associated to a real or complex hypersurface into the topological K-theory of its Milnor fiber. |
Commutative Algebra