题目：Diagonal invariants and genus-zero Hurwitz Frobenius manifolds

报告人：Alessandro Proserpio，格拉斯哥大学

时间：2025年10月15日（周三）14:00--15:30

地点：数学院新楼308

摘要：It is a common phenomenon that Landau-Ginzburg models for Frobenius manifolds coming from extensions of Weyl groups of a fixed Dynkin type are related to one another by suitably changing the ramification profile over infinity of the superpotential, while fixing the primary form. In this talk, we discuss this problem more systematically in type-A. We show that, starting from the polynomial Saito Frobenius manifolds, one can describe the structure on any Hurwitz space such that the additional poles of the superpotential are all simple. The corresponding solution to the WDVV equations exhibits a peculiar invariance under a diagonal action of the symmetric group. The result relies on a novel approach to the computation of flat coordinates according to some suitable embeddings of Hurwitz spaces. This is joint work with Ian Strachan.