Graduate Student Seminar-From knot theory to self distributive algebraic structures

Title:  From knot theory to self distributive algebraic structures

Speaker: Sujoy Mukherjee

Date and Time: Friday, November 10, 1:00-2:00pm

Place: Rome 206

Abstract: Historically, sets with self-distributive binary operations have been studied since the 1920s in different areas of mathematics under different names. Quandles are self-distributive algebraic structures with axioms motivated by the three Reidemeister moves in knot theory. Racks, spindles, and shelves are obtained by weakening the axioms of a quandle. One term and two term (rack) homology theories of these algebraic structures are studied extensively for their applications to knot theory. In my talk, after a brief introduction to these algebraic structures, I will discuss recent results in these homology theories and knot invariants related to them.