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