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Complex structures and zero-curvature equations for sigma-models

Dimitri Bykov (Albert Einstein Institut,Potsdam, Allemagne)
When May 11, 2017
from 01:30 PM to 02:30 PM
Where Amphithéâtre E
Attendees Dimitri Bykov
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Jeudi 11 Mai

 

Title: Complex structures and zero-curvature equations for sigma-models

Dimitri Bykov (Max-Planck-Institut fur Gravitationsphysik,Potsdam, Allemagne)

 

Abstract:

I will construct zero-curvature representations for the equations of motion of a class of sigma-models with complex homogeneous target spaces, not necessarily symmetric. As an example, for the case when the target space is a flag manifold and the worldsheet a sphere, I will describe all solutions to the equations of motion. Various ramifications of these results will be described.