[geometry-ml:01543] Seminar at Kavli IPMU on 2012 Sep 21 Ip

[Satoshi Kondo]

Dear colleagues:

There will be a seminar as follows at Kavli IPMU
(Kavli Institute for the Physics and Mathematics of
the Universe).

Regards,

Satoshi Kondo (Kavli IPMU)
http://ipmu.jp/
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Speaker:Ivan Ip (Kavli IPMU)

Date: September 21 (Fri) 15:30-17:00

Place:Seminar Room A, Kavli IPMU

Title: Positive Representations of Split Real Quantum Groups

Abstract:
In this talk, I will introduce the family of positive principal series
representations for split real quantum groups by positive self-adjoint
operators. The construction of these representations gives the
starting point of a new research program devoted to the representation
theory of split real quantum groups initiated in the joint work with
Igor Frenkel. It is a generalization of the special class of
representations considered by J. Teschner for Uq(sl(2,R)) in Liouville
theory, where it exhibits a strong parallel to the finite-dimensional
representation theory of quantum groups. Recently from the
construction of the positive representations, a direct analytic
relation between modular duality and Langlands duality is also
discovered, which should have deep consequences in the Langlands
program.
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You can check the location from
http://www.ipmu.jp/access-0
The schedule of the seminar can be checked from
http://db.ipmu.jp/seminar/