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Lie Groups and Representation Theory Seminar

[ Seminar 2013 | Past Seminars | Related conferences etc. ]

Upcoming talks

Place: Usually Room 126 (this year)
Graduate School of Mathematical Sciences, the University of Tokyo [ Access ]
Date: April 9 (Tue), 2013, 16:30-18:00
Place: Room 126, Graduate School of Mathematical Sciences, the University of Tokyo
Speaker: Atsumu Sasaki ( W) (Tokai University)
Title: A characterization of non-tube type Hermitian symmetric spaces by visible actions (Japanese)
Abstract:
[ pdf ]
We consider a non-symmetric complex Stein manifold D which is realized as a line bundle over the complexification of a non-compact irreducible Hermitian symmetric space G/K.
In this talk, we will explain that the compact group action on D is strongly visible in the sense of Toshiyuki Kobayashi if and only if G/K is of non-tube type. In particular, we focus on our construction of slice which meets every orbit in D from the viewpoint of group theory, namely, we find an A-part of a generalized Cartan decomposition for homogeneous space D.
We note that our choice of A-part is an abelian.
Date: April 16 (Tue), 2013, 16:30-17:30
Place: Room 126, Graduate School of Mathematical Sciences, the University of Tokyo
Speaker: Michael Pevzner (Reims University)
Title: Non-standard models for small representations of GL(n,R)
Abstract:
[ pdf ]
We shall present new models for some parabolically induced unitary representations of the real general linear group which involve Weyl symbolic calculus and furnish very efficient tools in studying branching laws for such representations.
Date: April 16 (Tue), 2013, 17:30-18:30
Place: Room 126, Graduate School of Mathematical Sciences, the University of Tokyo
Speaker: Pierre Clare (Penn. State University, USA)
Title: Degenerate principal series of symplectic groups
Abstract:
[ pdf ]
We will discuss properties of representations of symplectic groups induced from maximal parabolic subgroups of Heisenberg type, including K-types formulas, expressions of intertwining operators and the study of their spectrum.

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