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On the Tits-Weiss conjecture on U-operators and the Kneser-Tits conjecture for some groups of type E_7 and E_8. Chernousov, Vladimir
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 $E_8$.
Item Metadata
| Title |
On the Tits-Weiss conjecture on U-operators and the Kneser-Tits conjecture for some groups of type E_7 and E_8.
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2020-09-09T10:39
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| 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 $E_8$.
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| Extent |
45.0 minutes
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: University of Alberta
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| Series | |
| Date Available |
2021-03-09
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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| DOI |
10.14288/1.0396070
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| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
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| Scholarly Level |
Faculty
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International