Graduate Student Seminar

Title:  Homological properties of algebraic structures arising from knot theory
Speaker: Sujoy Mukherjee  

Abstract:  I will start with a brief introduction to knot theory. Following this I will discuss some well known knot invariants. Then I will show how to extract algebraic structures from Reidemeister moves. In particular, the third Reidemeister move leads to the notion of a shelf. After introducing the homology theories used to study these algebraic structures, I will discuss homological properties of associative shelves.