KOBAYASHI Toshiyuki


小林 俊行 （こばやし としゆき）
KOBAYASHI Toshiyuki

KOBAYASHI Toshiyuki
Title Professor
Affiliation Department of Mathematics (UG), Graduate School of Mathematical Sciences
E-mail
Room 562, Graduate School of Mathematical Sciences Bldg. 5F, Komaba Campus
TEL +81-3-5465-7001　|　47001（ext.）


Research Field

Group, Geometry, and non-commutative Harmonic Analysis

Research Subject

Lie groups and inifinite-dimensional representations, global geometry of locally homogeneous spaces, global analysis using symmetries

Current Research

1. Lie groups and infinite-dimensional representations, in particular, branching laws with respect to reductive subgroups, construction of symmetry breaking operators. 2. Locally homogeneous spaces beyond the Riemannian case, in particular, the existence problem of cocompact lattice, deformation, rigidity for the pseudo-Riemannian symmetric spaces, and spectral analysis. 3. Non-commutative harmonic analysis, analysis of minimal representations. 4. Multiplicity-free representations, visible actions on complex manifolds.

Keywords

Lie Group, Representation Theory, Homogeneous Space, Discontinuous Group, Unitary Representation, Branching Law, Minimal Representation

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