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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

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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.

Belongs to: Stockholm Mathematics Centre
Last changed: Nov 12, 2020