Title: Monodromy of KZ-equations for sl2

Abstract: We calculate monodromy of the solutions of the  
Knizhnik-Zamolodchikov (KZ) equations. We use a contour deformation  
method for the solutions in integral form. The monodromy properties of  
the solutions determine their asymptotics near singularities.  
Remarkably, the monodromy is equivalent to braiding of the quantum  
group Uq(sl2), although we will not consider quantum groups in this  
talk.  Similar techniques apply to other systems of PDE's as well,  
e.g. those arising in the theory of SLE's.

This talk is based on my master's thesis under the supervision of  
Kalle Kytola.