Algebra and Algebraic Geometry Seminar Fall 2024: Difference between revisions
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'''Hochschild homology and the HKR spectral sequence''' | '''Hochschild homology and the HKR spectral sequence''' | ||
Hochschild homology of an algebraic variety carries the Hochschild-Konstant-Rosenberg (HKR) filtration. In characteristic zero, this filtration is split, yielding the HKR decomposition of Hochschild homology. In characteristic p, this filtration does not split, giving rise to the HKR spectral sequence. We describe the first nonzero differential of this spectral sequence | Hochschild homology of an algebraic variety carries the Hochschild-Konstant-Rosenberg (HKR) filtration. In characteristic zero, this filtration is split, yielding the HKR decomposition of Hochschild homology. In characteristic p, this filtration does not split, giving rise to the HKR spectral sequence. We describe the first nonzero differential of this spectral sequence. Our description is related to the Atiyah class. | ||
Revision as of 13:26, 20 September 2024
The seminar normally meets 2:30-3:30pm on Fridays, in the room Van Vleck B131.
Algebra and Algebraic Geometry Mailing List
- Please join the AGS mailing list by sending an email to ags+subscribe@g-groups.wisc.edu 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).
Spring 2024 Schedule
| date | speaker | title | host/link to talk |
|---|---|---|---|
| September 27 | Joshua Mundinger (Madison) | Hochschild homology and the HKR spectral sequence | local |
| November 15 | Yunfeng Jiang (Kansas) | TBA | Andrei/Ruobing |
Abstracts
Joshua Mundinger
Hochschild homology and the HKR spectral sequence
Hochschild homology of an algebraic variety carries the Hochschild-Konstant-Rosenberg (HKR) filtration. In characteristic zero, this filtration is split, yielding the HKR decomposition of Hochschild homology. In characteristic p, this filtration does not split, giving rise to the HKR spectral sequence. We describe the first nonzero differential of this spectral sequence. Our description is related to the Atiyah class.