Title	On the Tits-Weiss conjecture on U-operators and the Kneser-Tits conjecture for some groups of type E_7 and E_8.
Creator	Chernousov, Vladimir
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2020-09-09T10:39
Description	Joint work with S. Alsaody and A. Pianzola. In the first part of the talk we remind the definition of an $R$-equivalence (introduced by Manin), state the Tits-Weiss conjecture on generation of structure groups of Albert algebras by $U$-operators and the Kneser-Tits conjecture for isotropic groups. In the second part of the talk we focus on computation of $R$-equivalence classes for groups of type $E_6$. As applications of our result we prove the Tits-Weiss conjecture and the Kneser-Tits conjecture for some isotropic groups of type $E_7$ and $E_8$.
Extent	45.0 minutes
Subject	Mathematics; Group theory and generalizations; Algebraic geometry; Algebraic structures
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Alberta
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2021-03-09
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0396070
URI	http://hdl.handle.net/2429/77481
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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