


Date and Time: Tuesday, 22 Nov. 2022, 34 pm. Venue: Ramanujan Hall Speaker: Rama Mishra (IISER Pune) Title: State Sum Models for Quantum Invariants of Knots and Links Abstract. This talk will be expository in nature. I will introduce the notion of quantum invariants of knots and links and explain what it means to have a state sum model for a given quantum invariant. I will discuss twostate sum models coming from two directed graphs namely the partarc graph denoted by PK and the arc graph denoted by G_K associated with a knot diagram. Flows on these respective graphs are the states. We prove that there is a bijection between the flows on P_K and the flows on G_K.