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Restricted inversion sequences and enhanced 33-noncrossing partitions

副标题:

时间:2018-07-02  来源:数学机械化重点实验室

题目:           Restricted inversion sequences and enhanced 33-noncrossing partitions

报告人:      林志聪  (集美大学)

时间地点:   2018.07.05  16::00pm  N205

摘要:          Yan and Martinez--Savage conjectured independently that inversion sequences with no weakly decreasing subsequence of length 3and enhanced 33-noncrossing partitions have the same cardinality. In this talk, I will present an algebraic proof, which applies both the generating tree technique and the so-called obstinate kernel method developed by Bousquet-M\'elou. As one application of this equinumerosity, an intriguing identity involving numbers of classical and enhanced 33-noncrossing partitions was discovered. I will also pose a related functional equation, enumerating another interesting class of restricted inversion sequences, that I could not solve.
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