Back to Algebraic Geometry Seminar: Spring 2019
Algebraic Geometry Seminar
Date: Wednesday, Feb 20, 2019
Time: 3:30PM - 4:30PM
Location: LCB 222
at 3:00pm
Felix Janda
University of Michigan
Title |
Logarithmic GLSM moduli spaces |
Abstract |
Understanding the structure of Gromov-Witten invariants of quintic threefolds is an important problem in enumerative geometry which has been studied since the early 90s. Together with Q. Chen, Y. Ruan and A. Sauvaget, we construct new moduli spaces that we call “logarithmic GLSM moduli spaces”. One application is toward proving conjectures from physics about higher genus Gromov-Witten invariants of quintic threefolds, such as the holomorphic anomaly equations. Another application, which also was the initial motivation to develop logarithmic GLSM, is toward proving a conjecture of R. Pandharipande, A. Pixton, D. Zvonkine and myself on loci of holomorphic differentials with prescribed zeros. In this talk, I will focus on the second application. Its main actor is the so-called Witten’s r-spin class, the analog of the virtual class in the FJRW theory of the A_{r-1}-singularity. |
Algebraic Geometry