Seminar Event Detail


Algebraic Geometry

Date:  Wednesday, April 04, 2018
Location:  4096 East Hall (4:10 PM to 5:30 PM)

Title:  Kaledin's noncommutative degeneration theorem and topological Hochschild homology

Abstract:   For a smooth proper variety over a field of characteristic zero, the Hodge-to-de Rham spectral sequence (relating the cohomology of differential forms to de Rham cohomology) is well-known to degenerate, via Hodge theory. A "noncommutative" version of this theorem has been proved by Kaledin for smooth proper dg categories over a field of characteristic zero, based on the technique of reduction mod p. I will describe a short proof of this theorem using the theory of topological Hochschild homology, which provides a canonical one-parameter deformation of Hochschild homology in characteristic p.

Files:


Speaker:  Akhil Mathew
Institution:  University of Chicago

Event Organizer:     

 

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