Kryczka J. Generalized Atiyah-like sequences from differential operators in graded commutative algebras (abstract): Difference between revisions
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| abstract = In the context of differential calculus over arbitrary graded commutative algebras, we will describe a special class of short exact sequences of functors of differential calculus (in Vinogradov's sense) and discuss how they may be interpreted as higher order Atiyah sequences. Time permitting, we will discuss the corresponding notion of the Atiyah class in this setting. | | abstract = In the context of differential calculus over arbitrary graded commutative algebras, we will describe a special class of short exact sequences of functors of differential calculus (in Vinogradov's sense) and discuss how they may be interpreted as higher order Atiyah sequences. Time permitting, we will discuss the corresponding notion of the Atiyah class in this setting. | ||
| video = https://video.gdeq.net/AMV-conf-20211214-Jacob_Kryczka.mp4 | | video = https://video.gdeq.net/AMV-conf-20211214-Jacob_Kryczka.mp4 | ||
| slides = | | slides = [[Media:KryczkaAMVconf2021slides.pdf|KryczkaAMVconf2021slides.pdf]] | ||
| references = | | references = | ||
| event = [[Diffieties, Cohomological Physics, and Other Animals]], 13-17 December 2021, Moscow.<br>''Alexandre Vinogradov Memorial Conference.'' | | event = [[Diffieties, Cohomological Physics, and Other Animals]], 13-17 December 2021, Moscow.<br>''Alexandre Vinogradov Memorial Conference.'' | ||
| 79YY-MM-DD = 7978-87-85 | | 79YY-MM-DD = 7978-87-85 | ||
}} | }} | ||
Revision as of 22:03, 28 December 2021
Speaker: Jacob Kryczka
Title: Generalized Atiyah-like sequences from differential operators in graded commutative algebras
Abstract:
In the context of differential calculus over arbitrary graded commutative algebras, we will describe a special class of short exact sequences of functors of differential calculus (in Vinogradov's sense) and discuss how they may be interpreted as higher order Atiyah sequences. Time permitting, we will discuss the corresponding notion of the Atiyah class in this setting.
Video
Slides: KryczkaAMVconf2021slides.pdf
Event: Diffieties, Cohomological Physics, and Other Animals, 13-17 December 2021, Moscow.
Alexandre Vinogradov Memorial Conference.