Integral structures of quantum cohomology and HMS for toric varieties

[Math. Dept.]

December 13, 2018  16:00-17:00

W303  School of Mathematics

[seminar]20181213Bohan Fang-01.png

SPEAKER

Bohan Fang (Peking University)

ABSTRACT

Using recent techniques of Ganatra-Pardon-Shende, one can identify certain partially wrapped Fukaya category of a cotangent bundle with microlocal sheaves. Since vanishing thimbles of the LG mirror for a toric varieties are in this category, one may consider the integration on the thimbles by computation on the characteristic cycles. On one hand it is equal to certain g=0 1-descendant GW potential, while on the other hand it has a nice asymptotic expansion. This implies the Gamma II conjecture of Galkin-Golyshev-Iritani, which is about the integral structures of GW theory and their asymptotic expansion.

SUPPORTED BY

School of Mathematics, Sichuan University

VIDEOS

  • Integral structures of quantum cohomology and HMS for toric varieties
  • 16:00 - 17:00, 2018-12-13 at W303 School of Mathematics
  • Bohan Fang (Peking University)