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

3 25

A Homotopical Approach to Crystalline Cohomology

A naive approach to crystalline cohomology is to lift a smooth ring to characteristic zero and then to take de Rham cohomology. However, due to the non-canonical local nature of this process, it isn't easy to glue in order to define crystalline cohomology globally by this method. We consider a variant of this approach by taking higher homotopies into account, making the lift canonical and gluing easy. (Joint work with G. Tamme.)

Information about the video

Date of recording 10/07/2023
Date of publication 11/07/2023
Institution IHES
Licence CC BY-NC-ND
Language English
Audience Researchers, Graduate Students
Format MP4

Domain(s)

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All the collection videos

01:20:58

published on July 10, 2023

Localizing Invariants and Algebraic K-theory (1/3)

By Georg Tamme

01:39:23

published on July 10, 2023

Introduction to Prismatic Cohomology (1/4)

By Johannes Anschütz

01:04:29

published on July 11, 2023

A Homotopical Approach to Crystalline Cohomology

By Moritz Kerz

01:31:30

published on July 11, 2023

Introduction to Prismatic Cohomology (2/4)

By Johannes Anschütz

01:21:49

published on July 11, 2023

Localizing Invariants and Algebraic K-theory (2/3)

By Georg Tamme

01:20:11

published on July 11, 2023

On the Motivic Cohomology of Schemes (1/3)

By Elden Elmanto

01:39:29

published on July 12, 2023

Introduction to Prismatic Cohomology (3/4)

By Johannes Anschütz

01:20:04

published on July 13, 2023

Localizing Invariants and Algebraic K-theory (3/3)

By Georg Tamme

01:10:55

published on July 13, 2023

Algebraic K-Theory in Geometric Topology

By Thomas Nikolaus

01:36:46

published on July 13, 2023

Introduction to Prismatic Cohomology (4/4)

By Johannes Anschütz

01:18:04

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On the Motivic Cohomology of Schemes (2/3)

By Elden Elmanto

01:09:23

published on July 17, 2023

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By Arpon Raksit

01:28:14

published on July 17, 2023

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01:21:32

published on July 17, 2023

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01:06:25

published on July 18, 2023

The Pro-cdh Topology

By Shane Kelly

01:26:32

published on July 18, 2023

Motivic Stable Homotopy Theory (1/3)

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01:23:01

published on July 18, 2023

Efimov K-theory (2/3)

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01:10:16

published on July 19, 2023

K-theoretic Localization Theorem

By Charanya Ravi

01:21:43

published on July 19, 2023

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By Ryomei Iwasa

01:23:11

published on July 19, 2023

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By Dustin Clausen

01:05:35

published on July 20, 2023

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By Kirsten Wickelgren

01:17:15

published on July 20, 2023

Prismatic Cohomology Relative Delta-Rings

By Achim Krausen

01:15:35

published on July 21, 2023

Twisted K-theory in Motivic Homotopy Theory

By Maria Yakerson

01:19:40

published on July 21, 2023

Motivic Stable Homotopy Theory (3/3)

By Ryomei Iwasa

01:12:12

published on July 21, 2023

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