Speaker: Professor Wolfgang Ziller
Affiliation: University of Pennsylvania (USA)
Abstract
Euclidean space R^n is flat. M^n = M^2 x R^{n-2}, with some metric on the surface M^2, is as close to flat as possible. If the manifold looks like that only “pointwise”, what can one say about the geometry and topology of M^n? The answers are surprisingly delicate. We will survey some recent results, with connections to graph manifolds and prism manifolds, Lipschitz foliations of hyperbolic space by geodesics, manifolds whose fundamental group is free, and algebraic varieties whose curvature is the same at all smooth points without being constant.
About Maths Colloquium
The Mathematics Colloquium is directed at students and academics working in the fields of pure and applied mathematics, and statistics.
We aim to present expository lectures that appeal to our wide audience.
Information for speakers
Information for speakers
Maths colloquia are usually held on Mondays, from 2pm to 3pm, in various locations at St Lucia.
Presentations are 50 minutes, plus five minutes for questions and discussion.
Available facilities include:
- computer
- data projector
- chalkboard or whiteboard
To avoid technical difficulties on the day, please contact us in advance of your presentation to discuss your requirements.