University of Regina

We will present the "method of killing homotopy groups" due to Cartan and Serre in the 1950s, a method to compute some homotopy groups of spheres. The method relies on the Hurewicz theorem and the Serre spectral sequence of the fibration that kills...

Periods are numbers that arise as integrals of rational functions with coefficients in Q over sets that are cut out by polynomial inequalities with coefficients in Q. More conceptually, periods are numbers that arise from the natural isomorphism...

Topological quantum field theories (TQFTs) are one of several mathematical approaches to quantum field theory in physics. They were introduced by Atiyah in the 1980s. The cobordism hypothesis, proposed by Baez and Dolan in the 1990s, is a statement...

The Western Canada Linear Algebra Meeting (WCLAM) provides an opportunity for all mathematicians in western Canada working in linear algebra and related fields to meet present accounts of their recent research, and to have informal discussions. While...

In this talk, we give a description of finite-dimensional commutative Frobenius algebras and we recall the description of 2-dimensional TQFTs. We show that these two structures are equivalent to each other.

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...

When the same topic appears in both mathematics and physics, there are often stark differences between how that topic is conceptualized and studied in each discipline. In this talk we will examine what it means to a physicist for a field theory to be...

It is well-known in quantum information theory that a positive operator valued measure (POVM) is the most general kind of quantum measurement. A quantum probability is a normalised POVM, namely a function on certain subsets of a (locally compact and...