Noncommutative topology and quantum flag manifolds

Robert Yuncken (University of Clermont-Ferrand)

Tuesday 12th March, 2013 16:00-17:00 Maths 203


Let B be the subgroup of upper triangular matrices in G=GL(N,C).  The homogeneous space X=G/B is called the flag manifold of G.  It is a classical compact complex manifold which is central to much of representation theory.  It's topology could be probed, for instance, using Dolbeault cohomology.  The flag variety X admits a quantization -- a deformation to a noncommutative space -- but it appears that the Dolbeault complex does not.  In this talk I will discuss a quantizable relative of the Dolbeault complex, the Bernstein-Gelfand-Gelfand complex as generalized by Heckenberger & Kolb, and its applications in noncommutative geometry.  (Work in progress with Christian Voigt.)

Add to your calendar

Download event information as iCalendar file (only this event)