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Mathematics Colloquium
Theta dualities on moduli spaces of vector bundles
Dragos Oprea
University of California, San Diego
Thursday, 24 September 2009
4:00 PM
For any compact Riemann surface, we can associate an algebraic torus, the Jacobian, together with a theta divisor given by the zero locus of an explicit function, the theta function. In higher rank and over an arbitrary base, one obtains theta divisors and generalized theta functions over moduli spaces of vector bundles. I will explain recent results concerning the spaces of generalized theta functions.
