|Title: Clifford algebras and the search for Ulrich bundles|
|Speaker: Danny Krashen of University of Georgia|
|Contact: David Zureick-Brown, email@example.com|
|Date: 2016-04-04 at 4:00PM|
The classical notion of the Clifford algebra of a quadratic form has been generalized to other types of higher degree forms by a number of authors. The representations of these generalized Clifford algebras turn out to correspond to Ulrich bundles, which are a very special class of vector bundle on a hypersurface. In this talk, Ill describe joint work with Adam Chapman and Max Lieblich of a new construction, generalizing the previous ones, of a Clifford algebra of a finite morphism of proper schemes, Ill discuss connections to the arithmetic of genus 1 curves, and Ill present some new results on the existence of Ulrich bundles.
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