Difference between revisions of "Algebra and Algebraic Geometry Seminar Fall 2018"

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===Akhil Mathew===
 
===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.

Revision as of 14:22, 7 September 2018

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

Here is the schedule for the previous semester.

Algebra and Algebraic Geometry Mailing List

  • Please join the AGS Mailing List to hear about upcoming seminars, lunches, and other algebraic geometry events in the department (it is possible you must be on a math department computer to use this link).

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

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.