Date and Time: Tuesday, 22 Nov. 2022,  3-4 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 two-state sum models coming from two directed graphs namely the 
part-arc 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.