MS Seminar (Mathematics - String Theory)

Speaker: Yongbin Ruan (Univ. Michigan)
Title: Landau-Ginzburg model and integrable hierarchies
Date (JST): Thu, May 07, 2009, 15:30 - 17:00
Place: Seminar Room at IPMU Prefab. B
Abstract: Almost twenty years ago, the celebrated theorem of Witten-Kontsevich asserts that the intersection theory of Deligne-Mumford space is governed by KdV-hierarchies.
Around the same time, Witten proposed a sweeping eneralization which leads to the representation theory of infinite dimensional Lie algebra and singularity theory/Landau-Ginzburg model. In the talk, we will sketch the recent resolution of Witten's vision by Fan-Jarvis and author and the appearance of new phenomenon such as mirror symmetry in the integrable hierarchy problem.