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Classes & TalksWednesday, November 11

Richard P. Stanley Seminar in Combinatorics

Wednesday, November 11 · 4:15-5:15 p.m. · Building 10

4:15-5:15 p.m.
When
  • Wednesday, November 11 · 4:15-5:15 p.m.
Where
Building 10222 Memorial Drive · Cambridge, MA · 02142

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About this event

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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