Algebra and Algebraic Geometry Seminar Fall 2018

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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
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


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.