Knörrer Periodicity and Bott Periodicity.
Knörrer Periodicity and Bott Periodicity
Speaker: Mickael Brown (Nebraska)
The goal is to describe a precise sense in which Knörrer 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 Knörrer periodicity for real isolated hypersurface singularities, and 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.