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Lie Groups and Representation Theory
Seminar information archive ～03/17｜Next seminar｜Future seminars 03/18～
| Date, time & place | Tuesday 16:30 - 18:00 126Room #126 (Graduate School of Math. Sci. Bldg.) |
|---|
2012/11/27
16:30-18:00 Room #126 (Graduate School of Math. Sci. Bldg.)
Hiroshi Konno (the University of Tokyo)
Convergence of Kahler to real polarizations on flag manifolds (JAPANESE)
Hiroshi Konno (the University of Tokyo)
Convergence of Kahler to real polarizations on flag manifolds (JAPANESE)
[ Abstract ]
In this talk we will discuss geometric quantization of a flag manifold. In particular, we construct a family of complex structures on a flag manifold that converge 'at the quantum level' to the real polarization coming from the Gelfand-Cetlin integrable system.
Our construction is based on a toric degeneration of flag varieties and a deformation of K¥"ahler structure on toric varieties by symplectic potentials.
This is a joint work with Mark Hamilton.
In this talk we will discuss geometric quantization of a flag manifold. In particular, we construct a family of complex structures on a flag manifold that converge 'at the quantum level' to the real polarization coming from the Gelfand-Cetlin integrable system.
Our construction is based on a toric degeneration of flag varieties and a deformation of K¥"ahler structure on toric varieties by symplectic potentials.
This is a joint work with Mark Hamilton.
