Summer School 2020: Motivic, Equivariant and Non-commutative Homotopy Theory

Collection Summer School 2020: Motivic, Equivariant and Non-commutative Homotopy Theory

Organizer(s) Organising Committee: Aravind Asok (University of Southern California), Frédéric Déglise (CNRS Dijon), Grigory Garkusha (Swansea University), Paul Arne Østvær (University of Oslo) Scientific Committee: Eric M. Friedlander (University of Southern California), Haynes R. Miller (MIT Department of Mathematics), Bertrand Toën (CNRS Toulouse)

Date(s) 06/07/2020 - 17/07/2020

linked URL https://indico.math.cnrs.fr/event/5160/

00:00:00 / 00:00:00

20 28

1/3 Algebraic K-theory and Trace Methods

By Teena Gerhardt

Also appears in collection : Teena Gerhardt - Algebraic K-theory and Trace Methods

Algebraic K-theory is an invariant of rings and ring spectra which illustrates a fascinating interplay between algebra and topology. Defined using topological tools, this invariant has important applications to algebraic geometry, number theory, and geometric topology. One fruitful approach to studying algebraic K-theory is via trace maps, relating algebraic K-theory to (topological) Hochschild homology, and (topological) cyclic homology. In this mini-course I will introduce algebraic K-theory and related Hochschild invariants, and discuss recent advances in this area. Topics will include cyclotomic spectra, computations of the algebraic K-theory of rings, and equivariant analogues of Hochschild invariants.

Information about the video

Date of recording 06/07/2020
Date of publication 06/07/2020
Institution IHES
Audience Researchers, Graduate Students
Format MP4

MSC codes

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