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Lie Groups and Representation Theory
Seminar information archive ～04/27｜Next seminar｜Future seminars 04/28～
| Date, time & place | Tuesday 16:30 - 18:00 126Room #126 (Graduate School of Math. Sci. Bldg.) |
|---|
2009/01/15
13:30-17:20 Room #050 (Graduate School of Math. Sci. Bldg.)
柏原正樹 (京都大学数理解析研究所) 13:30-14:30
Quantization of complex manifolds
[ Reference URL ]
https://www.ms.u-tokyo.ac.jp/~toshi/index.files/oshima60th200901.html
小林俊行 (東京大学大学院数理科学研究科) 15:00-16:00
Global geometry on locally symmetric spaces — beyond the Riemannian case
Classification of Fuchsian systems and their connection problem
柏原正樹 (京都大学数理解析研究所) 13:30-14:30
Quantization of complex manifolds
[ Reference URL ]
https://www.ms.u-tokyo.ac.jp/~toshi/index.files/oshima60th200901.html
小林俊行 (東京大学大学院数理科学研究科) 15:00-16:00
Global geometry on locally symmetric spaces — beyond the Riemannian case
[ Abstract ]
The local to global study of geometries was a major trend of 20th century geometry, with remarkable developments achieved particularly in Riemannian geometry.
In contrast, in areas such as Lorentz geometry, familiar to us as the space-time of relativity theory, and more generally in pseudo-Riemannian geometry, as well as in various other kinds of geometry (symplectic, complex geometry, ...), surprising little is known about global properties of the geometry even if we impose a locally homogeneous structure.
In this talk, I plan to give an exposition on the recent developments on the question about the global natures of locally non-Riemannian homogeneous spaces, with emphasis on the existence problem of compact forms, rigidity and deformation.
大島利雄 (東京大学大学院数理科学研究科) 16:20-17:20The local to global study of geometries was a major trend of 20th century geometry, with remarkable developments achieved particularly in Riemannian geometry.
In contrast, in areas such as Lorentz geometry, familiar to us as the space-time of relativity theory, and more generally in pseudo-Riemannian geometry, as well as in various other kinds of geometry (symplectic, complex geometry, ...), surprising little is known about global properties of the geometry even if we impose a locally homogeneous structure.
In this talk, I plan to give an exposition on the recent developments on the question about the global natures of locally non-Riemannian homogeneous spaces, with emphasis on the existence problem of compact forms, rigidity and deformation.
Classification of Fuchsian systems and their connection problem
[ Abstract ]
We explain a classification of Fuchsian systems on the Riemann sphere together with Katz's middle convolution, Yokoyama's extension and their relation to a Kac-Moody root system discovered by Crawley-Boevey.
Then we present a beautifully unified connection formula for the solution of the Fuchsian ordinary differential equation without moduli and apply the formula to the harmonic analysis on a symmetric space.
We explain a classification of Fuchsian systems on the Riemann sphere together with Katz's middle convolution, Yokoyama's extension and their relation to a Kac-Moody root system discovered by Crawley-Boevey.
Then we present a beautifully unified connection formula for the solution of the Fuchsian ordinary differential equation without moduli and apply the formula to the harmonic analysis on a symmetric space.
