数论与表示论讨论班:覃帆 Bracelets are theta functions for surface cluster algebras


 


时间:6月14日 16:00-17:00


地点:东7一层报告厅


报告内容:


The skein algebra of a marked surface possesses the basis of bracelet elements constructed by Fock-Goncharov and Musiker-Schiffler-Williams. As a cluster algebra, it also admits the theta basis from the cluster scattering diagram by Gross-Hacking-Keel-Kontsevich.


In this talk, we show that the two bases coincide except for the once-punctured torus. It is based on a joint work with Travis Mandel. Long-standing conjectures on strong positivity and atomicity follow as corollaries. We also connect our results to Bridgeland's stability scattering diagrams.


Welcome!