Bi-Flat $F$-manifolds and complex reflection groups.

报告人:Professor Paolo Lorenzoni (University of Milano Bicocca)




报告摘要: We show that bi-flat $F$-manif olds can be interpreted as natural geometrical structures encoding the almost duality for Frobenius manifolds without metric. Using this framework, we extend Dubrovin's duality between orbit spaces of Coxeter groups and Veselov's $\vee$-systems, to the orbit spaces of exceptional well-generated complex reflection groups.