November 23, 2010 (Tue) 10:05--11:05, 14:00--15:00 Lecture Hall (Room No. 420) Research Institute for Mathematical Sciences Kyoto University, Kyoto, Japan |

Sergei Gukov

(California Institute of Technology)

(California Institute of Technology)

**Abstract**

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.