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On Legendre transformations of generalized Frobenius manifolds
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Reporter:
Youjin Zhang, Professor, Tsinghua University
Inviter:
Xiangke Chang, Associate Professor
Subject:
On Legendre transformations of generalized Frobenius manifolds
Time and place:
15:30-16:30 March 17 (Monday), N226
Abstract:

For two generalized Frobenius manifolds related by a Legendre-type transformation, we show that the associated integrable hierarchies of hydrodynamic type, which are called the Legendre-extended Principal Hierarchies, are related by a certain linear reciprocal transformation; we also show, under the semisimplicity condition, that the topological deformations of these Legendre-extended Principal Hierarchies are  related by the same linear reciprocal transformation.