|Speaker:||Yongbin Ruan (Univ. Michigan)|
|Title:||Landau-Ginzburg model and integrable hierarchies|
|Date:||Thu, May 07, 2009, 15:30 - 17:00|
|Place:||Seminar Room at IPMU Prefab. B|
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.