Minh Nguyen, University of Michigan
The moduli space of vector bundles of rank 3 over a curve of genus 2

This moduli space is a double cover of $\mathbb{P}^8$ branched along a hypersurface of degree 6, known as the Coble sextic. After recalling some general results about moduli spaces of vector bundles on curve, I will try to give some geometric results about this sextic and also about its dual variety, the Coble cubic.