The set of weights of T-invariant curves to a Schubert variety at a T-fixed point admits a simple description due to Carrell and Peterson. The set of weights to the tangent space is much more complicated to describe, and has only been explicitly described in classical types. The main result is that although these two sets of weights are different, they generate the same cone in the dual of the Lie algebra of T.
This is joint work with Victor Kreiman.
This video is part of the University of Georgia‘s Algebra seminar.
