Interrogating length spectra and quantifying isospectral finiteness.
Event details
| Date | 09.11.2016 |
| Hour | 16:15 › 17:30 |
| Speaker | Hugo Parlier (Fribourg) |
| Category | Conferences - Seminars |
Associated to a closed hyperbolic surface is its length spectrum, the set of the lengths of all of its closed geodesics. Two surfaces are said to be isospectral if they share the same length spectrum. There are different methods to produce surfaces that are isospectral but not isometric, the most successful one based on a technique introduced by Sunada.
This talk will be about giving quantitative answers to the following questions:
- How many “questions" do you need to ask to determine a length spectrum?
- In a given genus how many different surfaces can be isospectral but not isometric?
The approach to these questions will include finding adapted coordinate sets for moduli spaces and exploring McShane type identities.
Practical information
- Informed public
- Free
Organizer
- Louis Merlin