### Brill-Noether theory for vector bundles with fixed determinant

Teixidor i Bigas, M *(Tufts)*

Tuesday 28 June 2011, 11:30-12:30

Seminar Room 1, Newton Institute

#### Abstract

Consider the set of vector bundles or rank r and fixed determinant L with at least k sections. The case of rank two and L canonical has been studied for a few years and some conjectures of Bertram Feinberg and Mukai are by now mostly proved. We will discuss some partial results for other determinants, mostly for rank two.

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