The eighth Takagi Lectures
November 23, 2010 (Tue)
Lecture Hall (Room No. 420)
Research Institute for Mathematical Sciences
Kyoto University, Kyoto, Japan
Quantization via mirror symmetry
(California Institute of Technology)
When combined with mirror symmetry, the A-model approach to quantization
leads to a fairly simple and tractable problem.
The most interesting part of the problem then becomes finding the mirror
of the coisotropic brane.
We illustrate how it can be addressed in a number of interesting examples
related to representation theory and gauge theory,
in which mirror geometry is naturally associated with the Langlands dual group.
Hyperholomorphic sheaves and (B,B,B ) branes play an important role
in the B-model approach to quantization.