邱敦副教授：Peak distributions and peak maps in lattice paths
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
邱敦副教授，南开大学组合数学中心
Inviter:
陈绍示
Title:
Peak distributions and peak maps in lattice paths
Language:
Chinese
Time & Venue:
2023.04.06 16:00-17:00 思源楼525
Abstract:
Dyck paths are classical Catalan objects. The peak distribution of Dyck paths is an important topic of combinatorics, and further the representation of symmetric groups.
We study a conjecture of Qiu-Remmel, which establishes an equality of peak distribution of Dyck paths. We give a proof of the conjecture, discover “peak map” of Dyck paths, and generalize to lattice paths.
