Mon, 29 Nov 2010
12:00 -
13:00
L3
Generalized Geometry in AdS/CFT and Volume Minimization
Maxime Gabella
(Oxford)
Abstract
Motivated by the study of general supersymmetric AdS_5 solutions of type IIB supergravity with fluxes, I will define a notion of "generalized Sasaki-Einstein geometry," characterized by a differential system for a triple of symplectic forms in 4d. I will then show that the minimization of the contact volume over a space of generalized Sasakian structures determines the Reeb vector field for such a solution. This is the geometric counterpart of a-maximization in superconformal field theory. This variational procedure will be put to good use by computing BPS quantities for a predicted infinite family of solutions dual to mass-deformed generalized conifolds.
Wed, 24 Nov 2010
12:00 -
13:00
L3
Lectures on global Springer theory II
Zhiwei Yun
(MIT)
Abstract
Extend the affine Weyl group action in Lecture I to double affine Hecke algebra action, and (hopefully) more examples.
Tue, 23 Nov 2010
10:00 -
11:00
L3
Lectures on global Springer theory I
Zhiwei Yun
(MIT)
Abstract
Introduce the parabolic Hitchin fibration, construct the affine Weyl group action on its fiberwise cohomology, and study one example.