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Generalized cluster duality and skein algebras

Algebraic Geometry and Number Theory

Speaker: Lang Mou
Related Webpage: https://sites.google.com/view/langmou
Location: 2112 MSB
Start time: Wed, May 20 2026, 12:10PM

Description

Cluster duality predicts deep connections between cluster varieties, theta functions, and positivity phenomena. In this talk, I will discuss a generalized version of this picture through skein algebras associated with surfaces, especially in the frameworks of Muller and Le–Roger–Yang. A central theme will be the role of bracelet-type elements, which are expected to form positive bases and to satisfy quantum positivity. This is joint work in progress with Min Huang and Zhihao Wang.