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Combinatorial properties of cluster scattering diagrams
Algebra & Discrete Mathematics| Speaker: | Amanda Burkroff, Harvard University |
| Location: | 1147 MSB |
| Start time: | Mon, Oct 13 2025, 2:10PM |
Description
Scattering diagrams originated from mirror symmetry in physics, and have since become fundamental to understanding cluster algebras. We prove many properties of cluster scattering diagrams in rank 2, most of which were conjectured by Elgin-Reading-Stella, using quiver representations as well as a recent connection to weightings on Dyck paths called tight gradings. This is a forthcoming joint work with Kyungyong Lee, Lang Mou, Gregg Musiker, and Markus Reineke.