Andy Neitzke

Title: Wall-crossing and moduli spaces of Higgs bundles

I will describe some explicit examples of the general phenomena  
described in Greg Moore's talk.  The quantum field theories in  
question are obtained from D-brane constructions in string theory.   
The corresponding hyperkahler manifolds are moduli spaces of Higgs  
bundles over curves with ramification.  The canonical Darboux  
coordinates are closely related to ones introduced by Fock and  
Goncharov on moduli spaces of local systems.  Their asymptotics are  
established using the WKB approximation.  

This is joint work in progress with Davide Gaiotto and Greg Moore.