EVENT DETAILS AND ABSTRACT

Title: Generalized theta linear series on moduli spaces of vector bundles on curves
Speaker: Mihnea Popa
Speaker Info: University of Michigan
Brief Description:
Special Note:
Abstract:

The main theme will be some results on effective bounds for the global generation and normal generation of multiples of generalized theta line bundles on moduli spaces of vector bundles on a smooth projective curve X. The techniques involved are of two different flavors: on one hand we will use a result (of independent interest) giving an optimal upper bound on the dimension of the Hilbert scheme of coherent quotients of a fixed vector bundle, while on the other hand we will appeal to general vector bundle techniques on abelian varieties via the notion of Verlinde bundle on the Jacobian of X.