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张彪 副教授:Chromatic nonsymmetric polynomials of Dyck graphs are slide-positive

本站小编 Free考研考试/2021-12-26



Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker: 张彪 副教授,天津师范大学数学科学学院
Inviter: 陈绍示
Title:
Chromatic nonsymmetric polynomials of Dyck graphs are slide-positive
Time & Venue:
2021.08.05 16:00-17:00 南楼N205室
Abstract:
Motivated by the study of Macdonald polynomials, Haglund and Wilson introduced a nonsymmetric polynomial analogue of the chromatic quasisymmetric function called the chromatic nonsymmetric polynomial of a Dyck graph. We give a positive expansion for this polynomial in the basis of fundamental slide polynomials using recent work of Assaf-Bergeron on flagged (P,ρ)-partitions. We then derive the known expansion for the chromatic quasisymmetric function of Dyck graphs in terms of Gessel's fundamental basis by taking a backstable limit of our expansion. This work is joint with Vasu Tewari and Andy Wilson.

相关话题/科学学院 数学 天津师范大学 陈绍