Dimakis Panagiotis (Standfort University)
Title: BAA branes on the Hitchin moduli space from solutions to the extended Bogomolny equations.
Abstract: BAA branes are complex Lagrangian submanifolds of the Hitchin space. Recently, there has been interest in these objects due to their appearance in mirror symmetry conjectures and due to their intimate connection with the geometry of the Hitchin space. In this talk I will introduce the above notions. Then I will introduce the extended Bogomolny equations and explain how their solutions lead to holomorphic data associated with a Riemann surface. As long as the degree of a naturally occuring line bundle is not too negative, I will show that the moduli of these holomorphic data is a BAA brane. Some of the BAA branes obtained this way are known but some are new.
Hybride : UQAM PK-5115, 201 Av. du Pr茅sident-Kennedy, Montr茅al, QC H2X 3Y7