Algebra and Algebraic Geometry Seminar Fall 2018: Difference between revisions
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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 19:22, 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.