On synthetic flag varieties
University of Michigan
refreshments at 3:45pm
The Bruhat order of the symmetric group describes adjacency of Schubert
cells in the complex flag manifold. This geometric model does not,
however, explain the phenomenon discovered by A.Bjorner in the early
1980s: each interval in the Bruhat order (in fact, of any Coxeter group)
is the face poset of some regular cell complex.
I will report on recent progress on the problem, posed by Bjorner, of
finding natural geometric realization of this complex. This is joint
project in progress with Michael Shapiro (KTH Stockholm).
Speaker's Contact Info: fomin(at-sign)math.lsa.umich.edu
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