See by year See by month Jump to month

Mészáros Karola (Cornell University): Schubert polynomials via polytopes

Download as iCal file
Thursday, 28. March 2019, 14:00 - 16:00
Abstract. The normalized volumes of certain root and flow polytopes are equal to
specializations of Schubert polynomials. The Ehrhart series of the aforementioned polytopes can be expressed through specializations of Grothendieck polynomials. We explain these results by establishing a connection between triangulations of mentioned polytopes and the combinatorial expression of Schubert and Grothendieck polynomials in terms of pipedreams. We then show that the Newton polytope of the Schubert polynomial for any permutation is a generalized permutahedron. We also show how to obtain certain Schubert polynomials as projections of integer point transforms of polytopes. This talk is based on joint works with Laura Escobar, Alex Fink, Ricky Liu and Avery St. Dizier.
Location : Bolyai Intézet, II. emelet, Szőkefalvi terem, Aradi Vértanúk tere 1., Szeged


JEvents v3.1.8 Stable   Copyright © 2006-2013