On synthetic flag varieties

Sergey Fomin

University of Michigan

December 1,
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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Combinatorics Seminar, Mathematics Department, MIT, sara(at-sign)math.mit.edu

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