Explore the fascinating world of knots-quivers correspondence in this 45-minute lecture by Helder Larraguivel from Jagiellonian University. Delve into the classification of equivalent quivers using symmetries of their motivic generating series, and discover how the set of equivalent quivers can be visualized as a permutohedron graph. Learn about the implications of these symmetries for invariants of symmetric quivers beyond the knots-quiver correspondence. Gain insights into the research aimed at packing infinite sequences of colored knot invariants into symmetric quivers and finite homology generators.