Cluster Algebras for General Braid Varieties

Explore cluster algebras for general braid varieties in this comprehensive talk from the Western Hemisphere Virtual Symplectic Seminar. Delve into the most general construction of cluster algebras on braid varieties, with weaves playing a crucial role. Examine Lusztig cycles and cluster variables associated with weaves through detailed explanations, explicit examples, and computations that illustrate the main result. Understand the two critical steps in the proof: the localization process and demonstrating that A=U. Learn how many steps and operations with weaves, originally conceived from symplectic topology, can be understood entirely in Lie-theoretic and combinatorial terms. Gain insights into the relationship between Dn and T(2,n) with an additional meridian, as discussed during the Q&A session.