BIMSA > BIMSA AG Seminar BIMSA AG Seminar A geometric polynomiality of Gromov-Witten generating functions
A geometric polynomiality of Gromov-Witten generating functions
Organizers
Artan Sheshmani , Nanjun Yang , Beihui Yuan
Speaker
Qile Chen
Time
Thursday, April 30, 2026 10:00 AM - 11:00 AM
Venue
A6-101
Online
Zoom 442 374 5045 (BIMSA)
Abstract
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.