Speaker: Peter Petersen
Affiliation: University of California, Los Angeles (USA)
Abstract
We introduce an elementary universal principle for smooth manifolds that allows us to establish several fundamental results easily: The Whitney Embedding Theorem and from that transversality, the de Rham isomorphism theorem, Poincaré Duality, Künneth’s theorem and the Hirsch-Leray theorem for suitable fibrations. The advantage of the principle is that it avoids using “good covers” and spectral sequences.
Biography
Prof Petersen is a world-renowned expert in Riemannian Geometry, and the author of one of the most useful textbooks in the subject.
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.