Algebra and Algebraic Geometry Seminar Fall 2024: Difference between revisions
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|Joshua Mundinger (Madison) | |Joshua Mundinger (Madison) | ||
|[[#Joshua Mundinger|Hochschild homology and the HKR spectral sequence]] | |[[#Joshua Mundinger|Hochschild homology and the HKR spectral sequence]] | ||
|local | |||
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|October 4 | |||
|Dima Arinkin (Madison) | |||
|[[#Dima Arinkin|Derived category of the stacky compactified Jacobian]] | |||
|local | |local | ||
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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. | 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. | ||
===Dima Arinkin=== | |||
'''Derived category of the stacky compactified Jacobian''' | |||
Revision as of 15:14, 27 September 2024
The seminar normally meets 2:30-3:30pm on Fridays, in the room Van Vleck B131.
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Fall 2024 Schedule
| date | speaker | title | host/link to talk |
|---|---|---|---|
| September 27 | Joshua Mundinger (Madison) | Hochschild homology and the HKR spectral sequence | local |
| October 4 | Dima Arinkin (Madison) | Derived category of the stacky compactified Jacobian | 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.
Dima Arinkin
Derived category of the stacky compactified Jacobian