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, the next semester, and for this 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)	Kaledin's noncommutative degeneration theorem and topological Hochschild homology	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	Eloísa Grifo (Michigan)	TBD	Daniel
December 7	Michael Brown	TBD	Local
December 14	John Wiltshire-Gordon	TBD	Local

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.