Quantum Cluster Algebras and Character Varieties of SL-2, R-Monodromy Problem

Explore the intricate connections between quantum cluster algebras and character varieties in this advanced mathematics lecture. Delve into topics such as shear coordinates, local kernels, and brackets before examining quantum flips and quantum varieties. Investigate Riemann surfaces and lambda-lens concepts, and gain insights into standard mutation and quantum ordering. Enhance your understanding of the SL(2,R)-monodromy problem and its relationship to quantum topology.