Academics

Remodeling conjecture with descendants

Time:Wed., 15:30-16:30 Oct. 23, 2024

Venue:C654, Shuangqing Complex Building

Organizer:Xiang He, Chenglong Yu, Dingxin Zhang, Jie Zhou

Speaker:Bohan Fang

Moduli Spaces and Related Topics

Organizers

Xiang He, Chenglong Yu, Dingxin Zhang, Jie Zhou

Speaker:

Bohan Fang (Peking University)


Time:

Wed., 15:30-16:30

Oct. 23, 2024


Venue:

C654, Shuangqing Complex Building

清华大学双清综合楼A座 C654

Title:

Remodeling conjecture with descendants

Abstract

For a toric Calabi–Yau threefold, I will explain the correspondence between an equivariant line bundle supported on a toric subvariety and a relative homology cycle on the covering space of the mirror curve. The Laplace transform of the holomorphic Liouville form along this cycle gives genus-zero descendant Gromov–Witten invariants with a certain Gamma class of that bundle. Hence, the Laplace transform of the topological recursion produces all-genus descendant Gromov–Witten invariants with Gamma classes. This talk is based on ongoing joint work with Chiu-Chu Melissa Liu, Song Yu, and Zhengyu Zong.

DATEOctober 22, 2024
SHARE
Related News
    • 0

      Almost Complex Manifolds with Prescribed Betti Numbers

      AbstractThe original version of Sullivan's rational surgery realization theorem provides necessary and sufficient conditions for a prescribed rational cohomology ring to be realized by a simply-connected smooth closed manifold. We will present a version of the theorem for almost complex manifolds. It has been shown there exist closed smooth manifolds M^n of Betti number b_i=0 except b_0=b_{n/2}...

    • 1

      On the geometric P=W conjecture | GRASP seminar

      AbstractThe geometric P=W conjecture is a conjectural description of the asymptotic behaviour of acelebrated correspondence in non-abelian Hodge theory. in a joint work with Enrica Mazzon andMatthew Stevenson, we establish the full geometric conjecture for compact Riemann surfaces ofgenus one, and obtain partial results in arbitrary genus: this is the first non-trivial evidence of theconiecture...