Algebraic Geometry Seminar

What allowed for many developments in algebraic geometry (especially birational geometry) and commutative algebra was a discovery of the notion of a Frobenius splitting. Recently, Yobuko introduced a more general concept, a quasi-F-splitting, which captures more refined arithmetic invariants related to Crystalline Cohomology. In my talk, I will discuss on-going projects in which we continue the development of the theory of quasi-F-splittings. This is based on joint work with Tatsuro Kawakami, Hiromu Tanaka, Teppei Takamatsu, Fuetaro Yobuko, and Shou Yoshikawa.