Speaker
Shou Yoshikawa
(Institute of Science Tokyo)
Description
Following the talk ``Hodge--Tate splitting and Akizuki--Nakano vanishing I'',
I will continue the discussion of Hodge--Tate splitting, focusing in
particular on examples and applications. I will present characterizations
of Hodge--Tate splitting for Fano and Calabi--Yau varieties, and discuss
when Hodge--Tate splitting is preserved under various algebraic
constructions, including blow-ups, projective bundles, and linearly
reductive quotients. I will also explain its relation to quasi-$F$-splitting.