IBS - Mathematical Physics Seminar ㅣ Strings, knots and quivers

In this talk I will review the knots-quivers correspondence and mention some recent developments in this regard. The knots-quivers correspondence is the statement that various invariants associated to a knot are encoded in the corresponding quiver. This statement follows from engineering both knots and quivers in related brane systems in string theory. Recent developements, which I will mention at least briefly, include understanding the structure of various quivers that correspond to the same knot, using topological recursion to determine quiver generating series and corresponding quiver A-polynomias, and finding a quiver representation of so-called Z-hat invariants.