Apr. 22 GMT 8:15-9:15
Speaker: Qizheng Yin (Peking University)
Title: Perverse-Hodge symmetry for Lagrangian fibrations
Abstract: For a Lagrangian fibration from a projective irreducible symplectic variety, the perverse numbers of the fibration are equal to the Hodge numbers of the source variety. In my talk I will first explain how this fact is related to hyper-Kähler geometry. Then I will focus on the symplectic side of the story, especially on how to enhance/categorify the perverse-Hodge symmetry. Joint work with Junliang Shen.