Back to Algebraic Geometry Seminar: Fall 2011
Algebraic Geometry Seminar
Date: Tuesday, Oct 18, 2011
Time: 3:30PM - 4:30PM
Location: LCB 222
Yusuf Mustopa
University of Michigan
Title |
Ulrich Bundles on del Pezzo Surfaces |
Abstract |
Ulrich bundles occur naturally in a variety of algebraic and algebro-geometric topics, including determinantal and Pfaffian descriptions of hypersurfaces, the computation of resultants, and the representation theory of generalized Clifford algebras. In this talk I will discuss the connection between the existence of rank r Ulrich bundles on a degree-d del Pezzo surface X, the geometry of curves of degree dr on X, and points on these curves—and how del Pezzo surfaces are the only arithmetically Gorenstein surfaces for which this connection can hold. This is joint work with Emre Coskun and Rajesh Kulkarni. |
Algebraic Geometry