Title：Singularities: from L^2 Hodge theory to Seiberg-Witten geometry

Speaker：Li, Si  （清华大学）

Time：2019年4月26日       下午  16:00-17:30

Room：东区管理科研楼  0029cc金沙贵宾会1308室

Abstract：Let X be a non-compact Calabi-Yau manifold and f be a holomorphic function on X with compact critical locus, satisfying a general asymptotic condition. We establish a version of twisted L^2 Hodge theory for the pair (X,f) and prove the corresponding Hodge-to-de Rham degeneration property. It  can be viewed as a generalization of Kyoji Saito's higher residue theory and primitive forms for isolated singularities. In the second part of the talk, I will explain a connection between primitive period maps and 4d N=2 Seiberg-Witten geometry.