URegina Topology Seminar: Allen Herman

In Arnaud's talk, we saw that the 2-dimensional TQFT category is equivalent to the category of commutative Frobenius algebras with isomorphisms. In this sequel to Arnaud's talk, we take a closer look at Frobenius algebras. We will explore their algebraic and coalgebraic properties, look at important sources of examples, and see how the natural coalgebraic structure of a Frobenius algebra compares to that of bialgebras and Hopf algebras.