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Infinite-dimensional Frobenius manifolds underlying the two-component BKP and the Toda lattice hierarchies

Le : 04/10/2016 14h00
Par : Chaozhong Wu, Sun Yat-Sen University, Guangzhou
Lieu : I 001
Lien web :
Résumé : Following the approach of Carlet, Dubrovin and Mertens [Math. Ann. 349 (2011), 75--115], we construct two classes of infinite-dimensional Frobenius manifolds underlying the two-component BKP hierarchy and the Toda lattice hierarchy, respectively. These manifolds are defined on the space of pairs of certain functions holomorphic inside or outside the unit circle, and they contain Frobenius submanifolds of finite dimension that coincide with those on the orbit space of (extended) Weyl groups. This talk mainly consists of joint work with Dingdian Xu and Dafeng Zuo.