Rubtsov V. Lie algebroid cohomology: from Der to Lie algebroid non-abelian extensions (abstract)

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Speaker: Vladimir Rubtsov

Title: Lie algebroid cohomology: from Der to Lie algebroid non-abelian extensions

Abstract:
After a short historical reminder I consider the extension problem for Lie algebroids over schemes over a field. Given a locally free Lie algebroid over a scheme , and a sheaf of finitely generated Lie -algebras , we determine the obstruction to the existence of extensions , and classify the extensions in terms of a suitable Lie algebroid hypercohomology group.

Video
Slides: RubtsovAMVconf2021slides.pdf

Event: Diffieties, Cohomological Physics, and Other Animals, 13-17 December 2021, Moscow.
Alexandre Vinogradov Memorial Conference.