QuasiFsplittings
QuasiFsplittings

Jakub Witaszek, Princeton University
Fine Hall 322
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 CalabiYau varieties can be. Recently, Yobuko introduced a more general concept, a quasiFsplitting, which captures much more refined arithmetic invariants. In my talk, I will discuss ongoing projects in which we develop the theory of quasiFsplittings 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.