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SUMMARY:Central extensions and A^1-fundamental groups
DTSTART;VALUE=DATE-TIME:20170914T103000Z
DTEND;VALUE=DATE-TIME:20170914T113000Z
DTSTAMP;VALUE=DATE-TIME:20170926T015605Z
UID:indico-event-5867@cern.ch
DESCRIPTION:Abstract:\n\nClassical results of Matsumoto and Suslin describ
e the universal central extension of the group of rational points of a spl
it\, semisimple\, simply connected algebraic group. These results were la
ter extended by Brylinski and Deligne\, who determined the category of cen
tral extensions of a reductive group by the second K-theory sheaf K_2. We
will discuss how these classical results can be uniformly explained and g
eneralized using the so-called motivic or A^1-fundamental group of a reduc
tive algebraic group and describe some interesting consequences. The talk
is based on joint work in progress with Fabien Morel.\n\nhttps://indico.t
ifr.res.in/indico/conferenceDisplay.py?confId=5867
LOCATION:TIFR\, Mumbai AG-69
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=5867
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