##### Department of Mathematics,

University of California San Diego

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### Algebraic Geometry Seminar

## Graciela Reyes

#### Universidad Nacional Autonoma de Mexico

## Rank two vector bundles with canonical determinant.

##### Abstract:

Let $C$ be a smooth irreducible projective curve. We can consider the Brill-Noether locus $B(2,\omega_C,r)$ of stable rank two vector bundles with canonical determinant and at least $r$ linearly independent sections on $C$. There is a complete description of $B(2,\omega_C,r)$ when $C$ has general moduli and genus $g\leq 12$. For higher genus several basic questions like non-emptyness, irreducibility, etc, are still open. The talk will focus in these questions and some conjectures.

Host: Elham Izadi

### April 25, 2014

### 2:30 PM

### AP&M 7218

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