20200622 郭龙 Newton Polytopes of Polynomials in Algebraic Combinatorics

『组合数学』学术报告（五）
题目：Newton Polytopes of Polynomials in Algebraic Combinatorics
报告人：郭龙副教授，南开大学
时间：2020/6/22（周一）14:00-15:00
腾讯会议ID：385 492 653
摘要：In this talk, we shall discuss the Newton polytopes of
several important families of polynomials in algebraic
combinatorics, including for example Schubert polynomials,
Grothendieck polynomials, key polynomials. We develop
a combinatorial algorithm to generate the vertices of
the Newton polytopes of Schubert and key polynomials.
As an application, we show that the vertices of the Newton polytope of a key polynomial can be generated by permutations in a  Bruhat order interval, confirming a conjecture by Monical, Tokcan and Yong. This work is joint with Neil J.Y. Fan.