EVENT DETAILS AND ABSTRACT

Title: Localization and Genus-Zero Gromov-Witten Invariants
Speaker: Professor Aaron Bertram
Speaker Info: University of Utah
Brief Description:
Special Note:
Abstract:

The Atiyah-Bott localization theorem has proved to be very useful for computing genus-zero Gromov-Witten invariants, counting rational curves in complex projective manifolds. In the case of one-point invariants, localization was used by Givental and Lian-Liu-Yau to prove the enumerative mirror conjecture. In this talk, I want to explain my "simple" proof of the mirror conjecture and its recent generalization due to Y.P. Lee. I also want to discuss higher-point invariants, and in particular to show how localization can be used to express higher-point invariants in terms of one-point invariants. This is known as "reconstruction" and is joint work with Holger Kley.