Speaker: Pro. Zeng Jiang, Université Claude Bernard Lyon

Date: Apr.9, 2021

Time: 3:30-5:00 p.m.

Location: Wemeet ID: 645 379 265

Abstract:

In a recent paper ({arXiv:2101.01928v1}) Baril and Kirgizov posed two conjectures on the equidistibution of $(cyc,des_2)\sim (cyc,pex)$ and $(des,des_2)\sim (exc,pex)$, where cyc, des and exc are classical statistics counting the numbers of cycles, descents and excedances of permutation, while $des_2$ and $pex$ are numbers of special descents and excedances over permutations. In this paper, using combinatorial theory of J-continued fractions and bijections we confirm and strengthen the second conjecture and expand the first one.

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