Divided symmetrization, Schubert polynomials and quasisymmetric functions

Algebraic and Enumerative Combinatorics

04 February 10:00 - 10:50

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.
Sara Billey
University of Washington
Petter Brändén
KTH Royal Institute of Technology
Sylvie Corteel
Université Paris Diderot, Paris 7
Svante Linusson
KTH Royal Institute of Technology


Svante Linusson


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