Thursday, February 11, 2021

Thursday, February 11, 2021 — 1:00 PM EST

Title: Solving Prellberg and Mortimer's conjecture - bijection(s)
between Motzkin paths and triangular walks

Speaker: Julien Courtiel Affiliation: Université de Caen Zoom: Contact Karen Yeats

Abstract:

In these difficult times, what we need to feel better is some colorful and elegant bijections.

This talk introduces the work we did with Andrew Elvey-Price (Tours, France) and Irène Marcovici (Nancy, France). Together we answered an open question from Mortimer and Prellberg, asking for a bijection between a family of walks inside a bounded triangular domain (think about a large equilateral triangle subdivided in several smaller equilateral triangles) and the famous Motzkin paths, but which have bounded height.

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