Speaker: Dr. Ce Ji，Tsinghua Univ

Title: A generalization of the Witten conjecture from spectral curve

Language: Chinese 

Time & Venue: 2024.11.06 10:30-11:30  MCM410

Abstract: The celebrated Witten conjecture initiates the study of relation between intersection theories on moduli spaces of curves (axiomatized as cohomological field theories, CohFTs) and integrable hierarchies. In this talk we will briefly review generalizations of the Witten conjecture over decades. Then we introduce our recent result relating  CohFTs with the KP integrable hierarchies, via the technique of topological recursion on spectral curves. Our result is expected to recover nearly all generalizations before. It is based on the joint work with Shuai Guo and Qingsheng Zhang.