Graduate Student Seminar: “Gram determinants motivated by Knot Theory”

Title: “Gram determinants motivated by Knot Theory”

Abstract:   In the 1990s, Rodica Simion posed a problem about the Gram determinant of Type B, whose solution, inspired by the work of W. B. R. Lickorish on the Witten – Reshetikhin – Turaev invariant of 3 – manifolds, was presented by Jozef H. Przytycki and his former student Qi Chen. In this talk I will define the Gram determinant of Type A and Type B and present the result proved by Przytycki and Chen. I will then define the Gram determinant of type ‘KB’, and speak about some of our recent work.