[geometry-ml:01827] Seminar at Kavli IPMU on 2013 July 24 Andersen

[Satoshi Kondo]

Dear colleagues:

There will be a seminar as follows at Kavli IPMU
(Kavli Institute for the Physics and Mathematics of
the Universe).

Regards,

Satoshi Kondo (Kavli IPMU)
http://www.ipmu.jp/
========================

Speaker:Joergen E. Andersen (Aarhus University)

Title:Non-abelian theta functions and unitarity of the hitchin connection

Date:Wed, Jul 24, 2013, 15:30 - 17:00

Place:Balcony A

Abstract:Theta functions forms a basis for the Hilbert space one
obtains by quantizing an abelain variety.
We will show the existence of non-abelian theta functions which forms
a basis for the quantization of the moduli space of flat connections
on a surface and which is parallel with respect to the Hitchin
connection. This construction of this basis depends on the choice of a
singular Lagrangian torus fibration of this moduli space. We will
describe how they can be used to provide a unitary structure which is
preserved by the Hitchin connection and which is invariant under the
mapping class group action. This part uses our joint work with Kenji
Ueno, which identifies the quantization of the above mentioned moduli
space with the Reshetikhin-Turaev TQFT vector spaces.

=======================
You can check the location from
http://www.ipmu.jp/access-0
The schedule of the seminar can be checked from
http://db.ipmu.jp/seminar/