Quasi-F-splittings

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Event details

Date 21.04.2022
Hour 10:1511:45
Speaker Jakub Witaszek (University of Michigan)
Location
Category Conferences - Seminars
Event Language English

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.

Practical information

  • Informed public
  • Free

Organizer

  • Zsolt Patakfalvi

Contact

  • Monique Kiener (if you want to attend to the seminar by zoom, please contact me, and I'll give you the link)

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