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.
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
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