A characterization result for BLD-mappings in metric spaces
Event details
| Date | 27.04.2016 |
| Hour | 16:30 › 17:30 |
| Speaker | Rami Luisto, Helsinki |
| Location |
EPFL, CM 010
|
| Category | Conferences - Seminars |
Abstract: Even thought mappings of Bounded Length Distortion were originally defined as a subclass of the so called quasiregular mappings, BLD-maps can also be thought as not locally homeomorphic generalizations of local L-bilipschitz mappings. Indeed, in this talk we will approach the theory of BLD-mappings between metric spaces by studying families of mappings whose locally homeomorphic representatives are local L-bilipschitz maps. In the second part of the talk we will discuss some of those results of BLD-mappings for which we need to assume that the mappings are defined between so called "generalized manifolds of type A". These spaces are a generalization of complete Riemannian manifolds (or complete Lipschitz manifolds) of bounded curvature. The need for them rises from the fact that many (local) equidistribution results of BLD-mappings rely on topological index- and degree theory, which in turn rely on the (algebraic-) topological structure of euclidean spaces.
Practical information
- Informed public
- Free
Organizer
- Marc Troyanov
Contact
- Marc Troyanov