Richard P. Stanley Seminar in Combinatorics

Name: Richard P. Stanley Seminar in Combinatorics
Start: 2026-11-11T21:15:00+00:00
End: 2026-11-11T22:15:00+00:00
Location: Building 2 132

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When: Wednesday, November 11, 20264:15 PM – 5:15 PM ESTAdd to calendar Google Calendar
Where: Building 2 132182 MEMORIAL DR, Cambridge, MA 02139Open in Maps
Hosted by: Department of Mathematics

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Academic & Study

About

Speaker: Lang Mou (UC Davis)

Title: Leafy trees, wall-crossing, and m-Tamari intervals

Abstract: Trees appear in several approaches to wall-crossing. I will present a new plane-tree model for the central wall in rank-2 cluster scattering diagrams, inspired by the recently introduced tight gradings on Dyck paths. These trees turn out to be in bijection with intervals in the m-Tamari lattice, a lattice on m-ballot paths. I will explain this correspondence and show how the tree perspective leads to algebraic functional equations for enumerating these intervals and a new combinatorial proof of the central wall formula. No prior knowledge of wall-crossing or cluster algebras will be assumed. This talk is based on joint work with Amanda Burcroff and Kyungyong Lee.

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