Algebra and Algebraic Geometry Seminar Fall 2018

The seminar meets on Fridays at 2:25 pm in room B235.

Here is the schedule for the previous semester.

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Fall 2018 Schedule

date	speaker	title	host(s)
September 7	Daniel Erman	Big Polynomial Rings	Local
September 14	Akhil Mathew (U Chicago)	TBA	Andrei
September 21	Andrei Caldararu	TBA	Local
September 28	Mark Walker (Nebraska)	TBD	Michael and Daniel
October 5
October 12	Jose Rodriguez (Wisconsin)	TBD	Local
October 19	Oleksandr Tsymbaliuk (Yale)	TBD	Paul Terwilliger
October 26
November 2	Behrouz Taji (Notre Dame)	TBD	Botong Wang
November 9	Juliette Bruce	TBD	Local
November 16	Wanlin Li	TBD	Local
November 23	Thanksgiving	No Seminar
November 30	John Wiltshire-Gordon	TBD	Local
December 7	Michael Brown	TBD	Local
December 14	Reserved

Abstracts

Akhil Mathew

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

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.