Knots-Quivers Correspondence: Generalizations and Combinatorics

Explore the fundamental concepts of knots-quivers correspondence in this 1-hour 13-minute lecture by Marko Stosic from Instituto Superior Tecnico, Lisbon. Delve into the original form of the correspondence and its various extensions and generalizations. Discover surprising applications in enumerative combinatorics, including the counting of lattice paths and Schröder paths. Examine recent findings related to quivers with higher level generators, gaining insights into the intersection of knot theory, quiver representations, and combinatorial mathematics.