|Speaker:||Constantin Teleman (UC Berkeley)|
|Title:||Lie group actions on linear categories|
|Date (JST):||Mon, Dec 13, 2010, 14:00 - 17:00|
|Place:||Seminar Room A|
I will discuss some features of Lie group actions on linear categories in relation to gauged topological field theories. The classification of such 'representations' features an intriguing appearance of the Langlands dual Lie group. Another feature, which seems consistent with examples coming from Gromov-Witten theory, is the need to consider non-perturbative, Z/2-graded deformations. I will propose a geometric, semi-classical model for such deformations, in terms of symplectic manifolds and Lagrangians.
Motivated by this, I will discuss first part of the lecture a higher-categorical quantization of symplectic manifolds and Lagrangians inside, in relation to E_n algebras and their higher Hochschild homologies. In the second part, I will explain how 2-dimensional gauge theories, in particular pure gauge theories, fit into this picture. These ideas are very tentative and examples-based.
|Remarks:||Tea Break 15:00-15:30