Schubert calculus and Gelfand-Zetlin polytopes

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• Evgeny Smirnov, Independent University of Moscow
• Thursday 16 October 2014, 16:00-17:00
• Physics West 117.

If you have a question about this talk, please contact David Craven.

We describe a new approach to the Schubert calculus on complete flag varieties using the volume polynomial associated with Gelfand-Zetlin polytopes. This approach allows us to compute the intersection products of Schubert cycles by intersecting faces of a polytope. We also prove a formula for all Demazure characters of a given representation of GL(n) via exponential sums over integral points in faces of the Gelfand-Zetlin polytope associated with the representation.

This is a joint work with V. Kiritchenko and V. Timorin.

This talk is part of the Algebra seminar series.

This talk is included in these lists:

• Algebra seminar
• Physics West 117
• School of Mathematics events

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