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Basic Notions Seminar: " Non-abelian theta functions and the theta map"
Tue, April 28, 2009 2:00PM - 3:00PM
| Time: | 2:00PM - 3:00PM |
| Location: | Simons Auditorium |
| Speakers: | Arnaud Beauville, Prof. Arnaud Beauville |
| Abstract: | Non-abelian theta functions and the theta map Abstract: Abelian theta functions are quasi-periodic holomorphic
functions, classically associated to an algebraic curve C . In modern terms, they are sections of certain line bundles on a complex torus, the Jacobian, which parametrizes C*-bundles on C. This point of view gives rise to a natural generalization, replacing C* by any reductive group. The corresponding sections, called non-abelian theta functions, play an important role in quantum field theory. In the talk I will survey what is known about their algebro-geometric properties in the case of classical groups. |
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