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20200622 郭龙 Newton Polytopes of Polynomials in Algebraic Combinatorics

澳门金莎娱乐官网:2020-06-16 10:18    浏览次数:    来源:

『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.

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