Ange Bigeni

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In two recent papers, Feigin proved that the Poincaré polynomials of the degenerate flag varieties have a combinatorial interpretation through Dellac configurations, and related them to the q-extended normalized median Genocchi numbers c̄n(q) introduced by Han and Zeng, mainly by geometric considerations. In this paper, we give combinatorial proofs of these(More)
This paper constructs a bijection between irreducible k-shapes and surjective pistols of height k−1, which carries the ”free k-sites” to the fixed points of surjective pistols. The bijection confirms a conjecture of Hivert and Mallet (FPSAC 2011) that the number of irreducible k-shape is counted by the Genocchi number G2k. Résumé. On construit une bijection(More)
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