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Jakub Witaszek, Quasi-F-splittings

September 27, 2022 @ 10:00 am - 11:00 am KST



Jakub Witaszek
Princeton U
What allowed for many developments in algebraic geometry and commutative algebra was a discovery of the notion of a Frobenius splitting, which, briefly speaking, detects how pathological positive characteristic Fano and Calabi-Yau varieties can be. Recently, Yobuko introduced a more general concept, a quasi-F-splitting, which captures much more refined arithmetic invariants. In my talk, I will discuss on-going projects in which we develop the theory of quasi-F-splittings in the context of birational geometry and derive applications, for example, to liftability of singularities. This is joint work with Tatsuro Kawakami, Hiromu Tanaka, Teppei Takamatsu, Fuetaro Yobuko, and Shou Yoshikawa.


September 27, 2022
10:00 am - 11:00 am KST
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Dongseon Hwang
IBS 복소기하학연구단 Center for Complex Geometry
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IBS Center for Complex Geometry
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