Speaker : Felix Janda (University of Notre Dame)
Title : All genus LG/CY correspondence via log GLSM
Time : 2023-03-07 (Tue) 10:00 - 12:00
Place : Auditorium, 6 Floor, Institute of Mathematics (NTU Campus)
Abstract: The LG/CY correspondence is a (conjectural) relationship between two curve counting theories associated to a homogeneous polynomial F:
  1. the Gromov-Witten theory of the projective hypersurface defined by F
  2. the Fan-Jarvis-Ruan-Witten theory of the affine singularity defined by F
While this correspondence has been applied very successful in physics to yield predictions for Gromov-Witten invariants, the two theories have very different definitions in mathematics.

In my talk, I will start by reviewing the two theories and the correspondence. Then, I will talk about a program "log GLSM" (logarithmic gauged linear sigma model) and how to it to prove the all genus LG/CY correspondence in the case of quintic threefolds.

This is based on joint works (some of which in progress) with Q. Chen, S. Guo and Y. Ruan.

【Hybrid Talk】Attendees can join us in person or remotely.
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