University of Illinois at Urbana-ChampaignDepartment of Mathematics
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Mathematics Colloquium, Spring 2008
SPECIAL LECTURE

Dragos Oprea
Stanford University

Moduli spaces of bundles and generalized theta functions

The Jacobian of any compact Riemann surface carries a natural theta divisor, which can be defined as the zero locus of an explicit function, the Riemann theta function. I will describe a generalization of this idea, which starts by replacing the Jacobian with the moduli space of bundles over a Riemann surface (or a higher dimensional base). These moduli spaces also carry theta divisors, described via "generalized" theta functions. In this talk, I will describe recent progress in the study of generalized theta functions.

Monday, January 14, 2008, 245 Altgeld Hall, 4:00 p.m.

Mathematics Colloquia homepage


Department of Mathematics
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