Cluster scattering diagrams
via quiver moduli and tight gradings
报告专家：牟浪 博士后（加州大学戴维斯分校）
报告时间：09月30日（周二）16：00-17：00
报告地点：国家天元数学西南中心505
报告摘要：
Scattering diagrams are combinatorial structures encoding wall-crossing phenomena that arise across diverse areas of mathematics. In this talk, I will explain how moduli spaces of quiver representations and Dyck paths combinatorics in terms of tight gradings provide new tools for analyzing Gross-Hacking-Keel-Kontsevich's cluster scattering diagrams in dimension two. These methods not only yield structural insights but also lead to proofs of several conjectures posed by Elgin-Reading-Stella. This is joint work with Amanda Burcroff, Kyungyong Lee, Gregg Musiker, and Markus Reineke.
专家简介：
牟浪，UC Davis 博士后，研究方向为丛代数及其范畴化，在广义丛代数、范畴化、散射图等方面取得了重要进展。特别地，与合作者证明了广义丛代数的正性猜测，相关工作发表于PNAS ,Math Zeit等国际知名杂志。
邀请人：付昌建
