Geometry Seminar

 

University of Tor Vergata, Department of Mathematics

21^st  of May 2024, 14:30-15:30, room “Dal Passo”

 

 

 

 

 

Edged Crystalline Cohomology

 

 

 

Marco D’Addezzio

Strasbourg

 

 

 I will talk about a new cohomology theory for algebraic varieties
in positive characteristic, called edged crystalline cohomology. This is a
generalisation of crystalline cohomology and depends on the choice of a
"decay-function''. Linear decay-functions correspond to integral versions
of rigid cohomology, while logarithmic decay-functions produce the
conjectured family of log-decay crystalline cohomology theories,
parametrised by positive real numbers. During the talk, I will explain the
construction of this theory after a brief recall of the classical
crystalline and rigid cohomology theories.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

This talk is part of the activity of the MIUR Excellence Department Projects MathMod@TOV, and the PRIN 2022 Moduli Spaces and Birational Geometry