2023 IHES Summer School – Recent Advances in Algebraic K-theory

Collection 2023 IHES Summer School – Recent Advances in Algebraic K-theory

Organizer(s) Benjamin Antieau, Lars Hesselholt, and Matthew Morrow

Date(s) 10/07/2023 - 21/07/2023

linked URL https://indico.math.cnrs.fr/event/8837/

00:00:00 / 00:00:00

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Presentation Lemmas in Mixed Characteristic

By Kęstutis Česnavičius

In his proof of the equal characteristic case of the Gersten conjecture for algebraic K-theory, Quillen used a geometric presentation lemma that may be viewed as a refinement of the Noether normalization theorem. Gabber, Gros--Suwa, and others have subsequently generalized Quillen's presentation lemma to establish Gersten-type phenomena for other cohomological functors. I will discuss presentation lemmas in mixed characteristics and present some of their consequences for the study of torsors under reductive groups.

Information about the video

Date of recording 21/07/2023
Date of publication 21/07/2023
Institution IHES
Licence CC BY-NC-ND
Language English
Audience Researchers, Graduate Students
Format MP4

Domain(s)

Algebraic Geometry

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