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

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|September 14
 
|September 14
 
|Akhil Mathew (U Chicago)
 
|Akhil Mathew (U Chicago)
|TBA
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|Kaledin's noncommutative degeneration theorem and topological Hochschild homology
 
|Andrei
 
|Andrei
 
|-
 
|-
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===Akhil Mathew===
 
===Akhil Mathew===
  
'''Title: Kaledin's noncommutative degeneration theorem and topological
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'''Title: Kaledin's noncommutative degeneration theorem and topological Hochschild homology'''
Hochschild homology'''
 
  
 
For a smooth proper variety over a field of characteristic
 
For a smooth proper variety over a field of characteristic

Revision as of 09:11, 13 September 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.

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) 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.