Speaker : 1. Prof. Jun-Jie Pan (Fu Jen Catholic University) 2. Prof. Szu-En Cheng (National University of Kaohsiung)
Title : 1. Alon-Babai-Suzuki's Conjecture (2) 2. Some results about combinatorial statistics on non-crossing partitions
Time : 2014-12-26 (Fri) 14:00 - 17:00
Place : Seminar Room 617, Institute of Mathematics (NTU Campus)
Abstract: 1. In this talk, the speaker will talk about a new result of Kyung-Won Hwang and Younjin Kim on Alon-Babai-Suzuki's Conjecture. 2. Using two bijections, we give the most obvious -analogue of the Narayana numbers based on non-crossing partitions. We also define two interesting decompositions of non-crossing partitions, and obtain recursions of joint distributions of statistics on non-crossing partitions. Using another bijection, we show that the statistic on non-crossing partitions and the statistic on Dyck paths are equidistributed. Finally, we get an interesting -refinement of the Catalan numbers through the connection between non-crossing partitions and -Motzkin paths.