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Vasu Tewari: Divided symmetrization, Schubert polynomials and quasisymmetric functions

Time: Tue 2020-02-04 10.00 - 10.50

Location: Institut Mittag-Leffler, Seminar Hall Kuskvillan

Lecturer: Vasu Tewari, University of Pennsylvania


The procedure of divided symmetrization was introduced by Alex Postnikov in the context of computing volume polynomials of various classes of permutahedra. This procedure takes a multivariate polynomial as input and outputs a scalar, which in many cases is a combinatorially interesting quantity. In this talk, I will describe how performing divided symmetrization is equivalent to reducing multivariate polynomials modulo the ideal generated by the homogeneous quasi-symmetric polynomials of positive degree in a fixed number of variables. The special case of divided symmetrizing Schubert polynomials will serve as the main motivation. This is joint work with Philippe Nadeau at Institut Camille Jordan.

Belongs to: Department of Mathematics
Last changed: Jan 31, 2020