MATH Seminar
| Title: Clifford algebras and the search for Ulrich bundles |
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| Seminar: Algebra |
| Speaker: Danny Krashen of University of Georgia |
| Contact: David Zureick-Brown, dzb@mathcs.emory.edu |
| Date: 2016-04-04 at 4:00PM |
| Venue: MSC W301 |
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| Abstract: 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, I’ll 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, I’ll discuss connections to the arithmetic of genus 1 curves, and I’ll present some new results on the existence of Ulrich bundles. |
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