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CATEGORIES:Algebra and Representation Theory Seminar
SUMMARY:Graded Lie algebras and representations of p-adic
groups - Beth Romano
DTSTART;TZID=Europe/London:20171101T163000
DTEND;TZID=Europe/London:20171101T173000
UID:TALK84581AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/84581
DESCRIPTION:Given a reductive group G over a finite extension
k of Q_p\, the representation theory of G(k) is w
ell\nunderstood as long as p is large enough. Yet
there are very few constructions of representation
s for\narbitrary p and arbitrary G. Reeder and Yu
have recently given a construction of certain "epi
pelagic"\nrepresentations of G(k) that works unifo
rmly for all p\, but their construction depends on
the existence\nof certain stable vectors in repre
sentations coming from graded Lie algebras in char
acteristic p. The\nclassification of these stable
vectors is still incomplete in the case when p is
small. I will talk about\nrecent progress in clas
sifying these stable vectors\, including new examp
les in the case when G is of\ntype F4.
LOCATION:MR12
CONTACT:Christopher Brookes
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