Knörrer Periodicity and Bott Periodicity. – University of Copenhagen

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Knörrer Periodicity and Bott Periodicity.

Knörrer Periodicity and Bott Periodicity

Speaker: Mickael Brown (Nebraska)

Abstract:
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.