Graduate Student Seminar

Title:  Yang-Baxter Operators and Knot Theory.

Speaker: Xiao Wang

Abstract:  Yang-Baxter Equation appears in several areas of physics( e.g.Statistical Mechanics, Quantum Theories).  It also gives applications to Knot Theory. I will introduce the Yang-Baxter Equation and its solutions.  Then I will show how to get link invariant from Yang-Baxter operators.  Finally, we define a homology theory for Yang-Baxter operators and have some discussion about it.