Fibrations between smooth Schubert varieties

Vesselin Gasharov

Cornell University

March 31,
refreshments at 3:45pm


We construct maps between smooth Schubert varieties which are fiber bundles whose fibers are again smooth Schubert varieties. In particular, these maps give an alternative proof of a smoothness criterion by Lakshmibai and Sandhya, and also show that the Poincaré polynomials of such varieties are always products of q-binomial coefficients. This is a joint work with Vic Reiner.

Speaker's Contact Info: vesko(at-sign)

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