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A geometric polynomiality of Gromov-Witten generating functions

组织者

阿尔坦·谢什马尼 , 杨南君 , 袁北彗

演讲者

Qile Chen

时间

2026年04月30日 10:00 至 11:00

地点

A6-101

线上

Zoom 442 374 5045 (BIMSA)

摘要

Introduced by Witten in the 1990s, Gauged Linear Sigma Models (GLSM) provide a framework for interpolating between Gromov-Witten theory and Landau–Ginzburg models. Mathematically, they are realized as a family of theories that count curves in the critical loci of holomorphic functions known as superpotentials. In this talk, I will report on a joint project in progress with Felix Janda and Yongbin Ruan on computing Gauged Linear Sigma Models via logarithmic compactifications. On the Gromov-Witten side, our method yields all-genus quantum Lefschetz formulas that relate Gromov-Witten invariants of complete intersections to the enumerative geometry of their ambient spaces. These formulas can be further lifted to reveal an underlying polynomial structure of Gromov-Witten generating functions in any genus.