Fukaya category of Landau-Ginzburg model via Witten equation

4 Feb 2025, 14:00
1h
Lecture Hall (Kavli IPMU)

Lecture Hall

Kavli IPMU

Speaker

Huijun Fan

Description

Landau-Ginzburg model has become a cornerstone theory of global mirror symmetry.
The closed string A-theory of a LG model has already been built, and is well-known
as the quantum singularity theory (or FJRW theory). An open string theory of a LG
model has also been treated in the paper “Fukaya Category of Landau-Ginzburg
model, arXiv:18012.11748v1”, but with not much attention. In this talk, I will recall
the construction in this paper, which is related to the boundary value problem of the
Witten equations arising from Landau-Ginzburg model, and mention the Maurer-
Cartan element conjecture proposed by Gaiotto-Moore-Witten (or Kapranov-
Kontsevich-Soibelman).

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