UC Berkeley

Commutative Algebra and Algebraic Geometry Seminar

November 13, 2007

939 Evans Hall

3:45PM: Motivation for Deligne's conjecture for stacks

Martin Olsson

This is in some sense a prequel to a talk I gave in the number theory seminar a few weeks ago. I will try to motivate some recent work on a stack-theoretic version of Deligne's conejcture on traces of correspondences acting on the cohomology of varieties over finite fields. In the first half of the talk I will discuss an example from the theory of toric varieties. In the second half of the talk I will then put this example in a more general context and explain the general result.

5:00PM: Introduction to Gromov-Witten Theory and the "Large N" Conjecture

Dagan Karp

In this talk I will give an introduction to Gromov--Witten theory, and an introduction to one of the most important open conjectures in the subject: large N duality. I will explain a special case of this conjecture posed by Aganagic et al. If time permits, I will outline an approach to this problem, which is joint work in progress with Sergiy Koshkin and Dave Auckly.

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