Published:
[Erscheinungsort nicht ermittelbar]: Institut des Hautes Études Scientifiques (IHÉS), 2020
Published in:Summer School 2020: Motivic, Equivariant and Non-commutative Homotopy Theory ; (Jan. 2020)
Extent:
1 Online-Ressource (159 MB, 01:12:56:15)
Language:
English
DOI:
10.5446/50943
Identifier:
Origination:
Footnote:
Audiovisuelles Material
Description:
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