University of Cambridge > Talks.cam > The Emmy Noether Society: Women that Count > Hyperbolic geometry: what it is and where it leads.

Hyperbolic geometry: what it is and where it leads.

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact Emmy Noether.

Hyperbolic (also called non-Euclidean) geometry is like geometry on a leaf of kale. We shall discuss some of its crucial features: for example, walking across the diagonal of an arbitrarily big field is not much quicker than going round the edge. Hyperbolic geometry has been used to study chaotic dynamics on surfaces, while in recent years it has revolutionised the study of three dimensional manifolds (the three dimensional analogue of surfaces).

Abstracting some special features of hyperbolic geometry led Mikhail Gromov to the simple but profound idea of what is now called a Gromov hyperbolic space. This has in turn fed back into hyperbolic geometry itself, being a crucial ingredient of some recent major advances which have given us a more or less complete picture of the geometry of all hyperbolic 3-manifolds.

This talk is part of the The Emmy Noether Society: Women that Count series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2024 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity