R609, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 609室)
A p-adic New Proof of some Classical Vanishing Theorems
Kai-Wen Lan (University of Minnesota)
Abstract:
I will begin with some background reviews, and present a new proof of the Kodaira--Akizuki--Nakano vanishing theorem, together with some generalizations for nontrivial coefficients over nonproper varieties, using the recently developed p-adic log Riemann--Hilbert correspondence. (This is based on joint work with Hansheng Diao, Ruochuan Liu, and Xinwen Zhu.)