Seminars and Colloquia
Mathematics
Towards compactifications of CalogeroâMoser space
Tue, Dec 20, 2016,
04:30 PM to 05:30 PM
at Madhava Hall
Dr. Asilata Bapat
University of Georgia
Athens
Calogero–Moser space was first discovered in the theory of integrable systems as a model for a one-dimensional n-body problem. It has since been found to intrinsically relate to many areas of algebra and geometry. For example, it parametrises irreducible representations of an interesting non-commutative algebra (a rational Cherednik algebra). It is also a natural deformation of the Hilbert scheme of points on the plane, and can be realized as a Nakajima quiver variety.
In this talk, I will introduce this space and highlight some of its rich structure. I will also describe some ongoing work towards constructing interesting compactifications of this space.
