Vasu Tewari: Divided symmetrization, Schubert polynomials and quasisymmetric functions

Tid: Ti 2020-02-04 kl 10.00 - 10.50

Föreläsare: Vasu Tewari, University of Pennsylvania

Plats: Institut Mittag-Leffler, Seminar Hall Kuskvillan

Abstract

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.

Innehållsansvarig:webmaster@math.kth.se
Tillhör: Institutionen för matematik
Senast ändrad: 2020-01-31