Quantitative stratification and applications to harmonic forms
Event details
| Date | 08.04.2014 |
| Hour | 16:15 › 17:15 |
| Speaker | Daniele Valtorta (EPFL) |
| Location | |
| Category | Conferences - Seminars |
Geometry and Dynamics Seminar
Abstract: Given a harmonic function defined on the unit ball of R^n, we discuss techniques to obtain effective volume estimates on the tubular neighborhood of its critical sets.
We use a technique recently introduced by prof. Jeff Cheeger and Aaron Naber, called quantitative stratification technique. It is based on approximate symmetries of the function at different scales. Studying how these approximate symmetries interact with each other, we obtain the effective volume estimates.
In the second part of the talk, we discuss recent improvements on these results and extensions to nodal sets.
These results are described in a preprint available on arXiv.
Abstract: Given a harmonic function defined on the unit ball of R^n, we discuss techniques to obtain effective volume estimates on the tubular neighborhood of its critical sets.
We use a technique recently introduced by prof. Jeff Cheeger and Aaron Naber, called quantitative stratification technique. It is based on approximate symmetries of the function at different scales. Studying how these approximate symmetries interact with each other, we obtain the effective volume estimates.
In the second part of the talk, we discuss recent improvements on these results and extensions to nodal sets.
These results are described in a preprint available on arXiv.
Practical information
- Expert
- Free
Organizer
- Martins Bruveris