Marco d'Addezio

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 present the construction of this theory after a brief recall on the classical crystalline cohomology theory.