# Arpon Raksit: q-de Rham cohomology and complex K-theory

**Time: **
Fri 2020-11-20 17.00 - 17.45

**Location: **
Zoom, meeting ID: 657 9019 8929

**Participating: **
Arpon Raksit, Stanford

### Abstract

Work of Bhatt–Morrow–Scholze uncovered a "q-deformation" of de Rham cohomology in p-adic algebraic geometry, and moreover a striking relation of this invariant to stable homotopy theory via topological Hochschild homology, i.e. Hochschild homology relative to the sphere spectrum. I will discuss ongoing work concerning a related phenomenon involving Hochschild homology relative to the complex K-theory spectrum.

**Zoom Notes: **The meeting ID is 657 9019 8929 and the passcode is 3517257.