Skip navigation

Main Menu

Global Menu

Activities

Search

Seminars

Seminars

seminar view

Seminar View

Seminar
FIELD Math: CMC
DATE August 20 (Tue), 2019
TIME 11:00-12:00
PLACE 8309
SPEAKER Dongsu Kim
HOST Park, Kyewon Koh
INSTITUTE KAIST
TITLE A combinatorial bijection on $k$-noncrossing partitions
ABSTRACT

This talk is meant to give a combinatorial experience to noncombinatorialists. For any integer $k\geq2$, we prove combinatorially the following transformation identity $$ \NC_{n+1}^{(k)}(t)=t\sum_{i=0}^n{n\choose i}\NW_{i}^{(k)}(t), $$ where $\NC_{m}^{(k)}(t)$ (resp.~$\NW_{m}^{(k)}(t)$) is the enumerative polynomial on partitions of $\{1,\ldots,m\}$ avoiding $k$-crossings (resp.~enhanced $k$-crossings) by number of blocks.
It is based on my preprint (arXiv:1905.10526) with Zhicong Lin.

FILE  
  • list

Seminar List

 

Subject

keyword

date

~