Bonn Topology Group - Abstracts

General Information - Members - Activities - Topology Seminar

Talk

17 October 2017
AKHIL MATHEW (University of Chicago): A gentle approach to the de Rham-Witt complex

Abstract

The de Rham-Witt complex of a smooth algebra over a perfect field provides a chain complex representative of its crystalline cohomology, a canonical characteristic zero lift of its algebraic de Rham cohomology. We describe a simple approach to the construction of the de Rham-Witt complex. This relates to a homological operation L\eta_p on the derived category, introduced by Berthelot and Ogus, and can be viewed as a toy analog of a cyclotomic structure. This is joint work with Bhargav Bhatt and Jacob Lurie.

Back to seminar page