| toshi@ms.u-tokyo.ac.jp | |
| TEL | +81-3-5465-7001 | 47001（ext.） |
| Room | 562, Graduate School of Mathematical Sciences Bldg. 5F, Komaba Campus |
| Links |
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