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SUMMARY:Anand Sawant (TIFR)
DTSTART:20210720T160000Z
DTEND:20210720T170000Z
DTSTAMP:20260423T021352Z
UID:eAKTS/25
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/eAKTS/25/">C
 entral extensions of algebraic groups via cellular $\\mathbb{A}^1$-homolog
 y</a>\nby Anand Sawant (TIFR) as part of electronic Algebraic K-theory Sem
 inar\n\nLecture held in 979 0634 7355.\n\nAbstract\nI will outline the com
 putation of the cellular $\\mathbb{A}^1$-homology of a split\, semisimple\
 , simply connected algebraic group in low degrees and use it to describe t
 he group of central extensions of such a group by a suitable strictly $\\m
 athbb{A}^1$-invariant sheaf.  These results in particular yield a motivic 
 proof of the result of Brylinski and Deligne classifying central extension
 s of such algebraic groups by $K_2$.  The talk is based on joint work with
  Fabien Morel.\n
LOCATION:https://researchseminars.org/talk/eAKTS/25/
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