Speaker: | Yongbin Ruan (Univ. Michigan) |
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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. |