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(Sep. 11) Extended affine Weyl groups of BCD-type: their Frobenius manifolds and Landau-Ginzburg superpotentials

Last updated :2017-09-06

Topic: Extended affine Weyl groups of BCD-type: their Frobenius manifolds and Landau-Ginzburg superpotentials
Speaker:
Professor ZUO Dafeng (School of Mathematical Sciences, University of Science and Technology of China)
Time: 16:00-17:30, Monday, September 11, 2017
Venue: Room 416, New Mathematics Building, Guangzhou South Campus, SYSU

Abstract:
For the root systems of type B_l, C_l and D_l, we generalize the result of B.Dubrovin and Youjin Zhang by showing the existence of Frobenius manifold structures on the orbit spaces of the extended affine Weyl groups that correspond to any vertex of the Dynkin diagram instead of a particular choice made by Dubrovin and Zhang. It also depends on certain additional data. We also construct Landau-Ginzburg superpotentials for these Frobenius manifold structures. This is a joint work with B.Dubrovin, Ian.Strachan and Youjin Zhang.