Classifying Isomorphism Classes of Algebraic Groups

49 mins 4 secs,  187.64 MB,  iPod Video  480x270,  30.0 fps,  44100 Hz,  522.13 kbits/sec
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Description: Taylor, J
Friday 31st January 2020 - 10:10 to 11:00
 
Created: 2020-01-31 12:08
Collection: Groups, representations and applications: new perspectives
Publisher: Isaac Newton Institute
Copyright: Taylor, J
Language: eng (English)
Distribution: World     (downloadable)
Explicit content: No
Aspect Ratio: 16:9
Screencast: No
Bumper: UCS Default
Trailer: UCS Default
 
Abstract: This talk will concern connected reductive algebraic groups (CRAGs) defined over an algebraically closed field. To each CRAG one can associate a combinatorial invariant known as its root datum. A classic result of Chevalley states that the isomorphism classes of CRAGs are in bijective correspondence with the isomorphism classes of root data. This begs the question, when are two root data isomorphic? In this talk we will describe an algorithmic solution to this problem. Part of this is joint work with Jean Michel.
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