Speaker: Timothy Buttsworth
Affiliation: University of New South Wales
Abstract
One of the most important defining properties of a manifold is the "locally Euclidean" property, i.e., the existence of local coordinates around any point. Since there are potentially many choices of these coordinates, an important part of differential geometry is defining relevant geometric quantities in a way that does not depend on the choice of coordinates. Nevertheless, not all coordinates are created equal; there are some that are much more useful for studying geometric quantities, depending on the context. In this talk, I will discuss some of the historically popular coordinate choices for Riemannian manifolds, as well as a relatively new coordinate system that has proven useful in solving some modern problems in geometry.
About Physics Seminars
The weekly Physics Seminar series focuses on a broad range of physics research within SMP, along with frequent presentations from visiting researchers. Seminars are usually scheduled for 1.00pm on Tuesdays.
The talks are typically more specialised than a colloquium but are often attended by staff and PhD students across a broad range of areas. Speakers are thus encouraged to include introductory material in the talks.
All SMP researchers and HDR students are encouraged to speak. Please email Lewis Williamson to register your interest.
The seminars are open so there is no need to register your attendance.
Venue
Room: 407