Text only print
Full screen print
Geometry Seminar
Seminar information archive ～04/19｜Next seminar｜Future seminars 04/20～
2006/10/23
14:40-18:00 Room #056 (Graduate School of Math. Sci. Bldg.)
Naichung Conan Leung (Chinese University of Hong Kong) 14:40-16:10
Toric geometry and Mirror Symmetry
Balance point and stability of vector bundles over a projective manifold
Naichung Conan Leung (Chinese University of Hong Kong) 14:40-16:10
Toric geometry and Mirror Symmetry
[ Abstract ]
We first review the geometry of toric varieties. Then we will explain the SYZ mirror symmetry conjecture and how toric geometry plays an important role here.
Xiaowei Wang (Chinese University of Hong Kong) 16:30-18:00We first review the geometry of toric varieties. Then we will explain the SYZ mirror symmetry conjecture and how toric geometry plays an important role here.
Balance point and stability of vector bundles over a projective manifold
[ Abstract ]
In this talk, we will start with some basic theory of GIT and symplectic quotient, then introduce various kind of stability of a holomorphic vector bundle over a projective manifold. As an application of the general theory, we will answer a question raised by Donaldson by showing that GIT stable vector bundle produces a sequence of balanced embedding of the underlying projective manifold to the Grassmanian.
In this talk, we will start with some basic theory of GIT and symplectic quotient, then introduce various kind of stability of a holomorphic vector bundle over a projective manifold. As an application of the general theory, we will answer a question raised by Donaldson by showing that GIT stable vector bundle produces a sequence of balanced embedding of the underlying projective manifold to the Grassmanian.
