Veronika Ertl - Higher Pushforwards in Rigid Cohomology via Motives @IhesFr

Uploaded November 2025 | Updated September 2026, 2 weeks ago

Berthelot's conjecture states that the higher push-forwards in rigid cohomology of the structure sheaf along a smooth and proper morphism are canonically overconvergent $F$-isocrystals. I will explain how motivic non-archimedean homotopy theory can be used to define solid relative rigid cohomology and prove a version of Berthelot's conjecture.
(Joint work with Alberto Vezzani.)

Veronika Ertl (Université de Caen)

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Veronika Ertl - Higher Pushforwards in Rigid Cohomology via Motives

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