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.)