Thomas Honey - The Hodge star on smooth manifolds
|Starts:||15:00 6 Dec 2019|
|Ends:||16:00 6 Dec 2019|
|What is it:||Seminar|
|Organiser:||Department of Mathematics|
|Who is it for:||Current University students|
This week's pure postgrad seminar will be given by Thomas Honey at 3pm in Frank Adams 1.
In usual vector calculus we can do things like take the divergence of a vector field and other things like that. This all works nicely in Euclidean spaces however we want to be able to do similar things on curved spaces and so on manifolds. How we do this is via the Hodge star. I’ll define the Hodge star in the context of vector spaces, then generalise to the case of differential forms on smooth manifolds, which allows us to do things like take the divergence of a vector field on a manifold amongst other things.
Travel and Contact Information
Frank Adams 1
Alan Turing Building