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CATEGORIES:Junior Algebra and Number Theory seminar
SUMMARY:How to construct a rigid analytic quantum sl_2 - N
icolas DuprÃ©\, University of Cambridge
DTSTART;TZID=Europe/London:20151016T150000
DTEND;TZID=Europe/London:20151016T160000
UID:TALK61808AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/61808
DESCRIPTION:Quantum groups are deformations of classical algeb
ras such as enveloping algebras of Lie algebras or
coordinate rings of algebraic groups. A common th
eme about these objects is that they should still
share similar properties as their classical counte
rparts\, and so for instance in the right context
we can think of quantum groups as algebras of "pol
ynomial" functions on some "quantum space". When w
orking over p-adic fields\, there is a very natura
l notion of (locally) analytic functions and one c
an define a so-called rigid analytic space\, which
is essentially a space whose functions are locall
y analytic. Therefore one can ask whether there is
a good notion of algebras of analytic functions o
n a "quantum p-adic space"\, or said differently a
notion of rigid analytic quantum group. We will s
how how to construct an analytic version of the qu
antized enveloping algebra of sl_2\, and we will t
hen describe some of the properties that this alge
bra satisfies which make its representation theory
possible to study.
LOCATION:CMS\, MR15
CONTACT:Nicolas DuprÃ©
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