English

Some recent advances in topological Hochschild homology

Algebraic Topology 2022-03-14 v3 Algebraic Geometry K-Theory and Homology

Abstract

We give an account of the construction of the Bhatt--Morrow--Scholze motivic filtration on topological cyclic homology and related invariants, focusing on the case of equal characteristic pp and the connections to crystalline and de Rham--Witt theory.

Keywords

Cite

@article{arxiv.2101.00668,
  title  = {Some recent advances in topological Hochschild homology},
  author = {Akhil Mathew},
  journal= {arXiv preprint arXiv:2101.00668},
  year   = {2022}
}

Comments

39 pages, survey paper; minor corrections