Edged crystalline cohomology

par Marco D'Addezio

jeudi 30 mars 2023, 14:00 → 15:00 Europe/Paris

I will talk about a new cohomology theory for algebraic varieties in positive characteristic, called edged crystalline cohomology. This theory
recovers rigid cohomology for smooth varieties and produces new cohomology theories for other decay functions. In particular, this produces a family of
log-decay crystalline cohomology theories parametrised by a positive real number. During the talk, I will explain the construction of this cohomology after
a brief recall of the classical crystalline theory.