学术报告(曲昊男 2024.12.13)

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies

发布人:姚璐 发布日期:2024-12-05
主题
Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies
活动时间
-
活动地址
新数学楼415
主讲人
曲昊男(北京大学)
主持人
吴朝中

摘要: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.