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Tsinghua-BIMSA Symplectic Geometry Seminar
Mirror symmetric Gamma conjecture for toric varieties and applications
Mirror symmetric Gamma conjecture for toric varieties and applications
Organizers
Speaker
Bohan Fang
Time
Wednesday, December 11, 2024 2:00 PM - 3:00 PM
Venue
Shuangqing-C546
Online
Zoom 388 528 9728
(BIMSA)
Abstract
I will describe how to compute oscillatory integrals in the LG mirror of a toric variety, producing the quantum cohomology central charge. In particular, I will explain two different methods: solving the GKZ equations and Fourier transforms. Such computation, combined with homological mirror symmetry, gives a proof of the Gamma II conjecture for toric Fanos. This work is based on the joint works with Peng Zhou, Konstantin Aleshkin and Junxiao Wang.