The Mathematical and Computational Sciences at Western are represented by four separate departments: Applied Mathematics, Computer Science, Mathematics, and Statistical & Actuarial Sciences. The Department of Mathematics has established research groups in several areas of contemporary mathematics including algebra, analysis and analytic geometry, homotopy theory, and noncommutative geometry.

Upcoming Events

Each week the Department of Mathematics hosts a wide variety of seminars and events. For a comprehensive list of events, please consult our departmental calendar.

I will present a theorem saying that homotopical functors out of a
cofibration category are essentially determined by its subcategory of
cofibrations. As an application I will discuss a functorial
construction of groupoid $C^*$-algebras which is related to the
Baum-Connes Conjecture. This is joint work with Markus Land and
Thomas Nikolaus.

Generalized Kahler manifold is the analogue of Kahler manifold in the framework of generalized geometry a la Hitchin. Many non-Kahler complex manifolds admit generalized Kahler structures. In this context, the analogue of a holomorphic bundle is a $\mathbb J$-holomorphic bundle, where $\mathbb J$ is one of the generalized complex structures. We will discuss some examples of these objects, a possible candidate for stability and the Kobayashi-Hitchin correspondence in this context.
Speaker's homepage: https://legacy.wlu.ca/homepage.php?grp_id=12368&f_id=43

Almost periodic functions were introduced by Harald Bohr in 1920s as a result of his investigations into the Riemann's zeta function. The theory was further developed by Bochner and von Neumann in the 30s and 40s. An important result
of the theory is Bohr-von Neumann approximation theorem stating that trigonometric polynomials are uniformly dense among almost periodic functions.
Bochner's characterization of almost periodicity has been used by Duncan and Ulger (1992) to study almost periodic functionals on Banach algebras. This provides a more general framework to study almost periodicity.
In this talk we discuss some connections between almost periodic functionals and representation theory. Perhaps the simplest connection is that every coordinate functional of a continuous finite-dimensional representation is
almost periodic. In the reverse direction, we can show that if $A$ is an involutive Banach algebra, $\pi \colon A \longrightarrow \mathscr L(H)$ is an involutive representation, and $\xi, \eta \in H$ are algebraically cyclic vectors such that the associated coordinate functional $\pi_{\xi, \eta }$ is almost periodic, then
$\dim H