New Structures and Techniques in $p$-adic Geometry

Collection New Structures and Techniques in $p$-adic Geometry

Organizer(s) Dustin Clausen, Toby Gee, Wiesława Nizioł

Date(s) 27/10/2025 - 31/10/2025

linked URL https://indico.math.cnrs.fr/event/14073/

00:00:00 / 00:00:00

5 8

Higher Pushforwards in Rigid Cohomology via Motives

By Veronika Ertl

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.)

Information about the video

Date of recording 28/10/2025
Date of publication 03/11/2025
Institution IHES
Language English
Audience Researchers
Format MP4

Domain(s)

Algebraic Geometry

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All the collection videos

01:06:16

published on November 3, 2025

Non-Archimedean Motives I

By Timo Richarz

01:13:50

published on November 3, 2025

Geometric Aspects of the $p$-adic Locally Analytic Langlands Correspondence I

By Eugen Hellmann

01:06:52

published on November 3, 2025

Igusa Stacks I

By Mingjia Zhang

01:03:24

published on November 3, 2025

Non-Archimedean Motives II

By Alberto Vezzani

01:03:48

published on November 3, 2025

Higher Pushforwards in Rigid Cohomology via Motives

By Veronika Ertl

01:08:15

published on November 3, 2025

Geometric Aspects of the $p$-adic Locally Analytic Langlands Correspondence II

By Arthur-César Le Bras

01:02:32

published on November 3, 2025

Igusa Stacks II

By Ana Caraiani

01:01:37

published on November 3, 2025

Igusa Stacks III

By Mingjia Zhang

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