Geometry and dynamics seminar: Boundary regularity of Dirichlet minimizing Q-valued functions
Event details
| Date | 06.05.2015 |
| Hour | 16:15 › 17:30 |
| Speaker | Jonas Hirsch (KIT) |
| Location | |
| Category | Conferences - Seminars |
F.J.Almgren introduced a theory of multivalued/ Q-valued functions in his pioneering ”big regularity paper”. The natural number Q, fixed, indicates the number of values the function takes, counting multiplicity. He used the regularity properties of Dirichlet minimizers as an essential tool in his proof of the regularity for mass minimzing intergral currents.
Almgren’s idea motivates the study of the regularity properties of Q-valued functions. I will present an extension of his interior Holder regularity result to the boundary.
Firstly I will give a rough explanation of his strategy and a short introduction to the theory of Q-valued functions. Afterwards I will present an overview of the regularity results known so far and some examples, to demonstrate the difficulties one encounters. In the last part I will sketch the proof of the boundary regularity result.
Almgren’s idea motivates the study of the regularity properties of Q-valued functions. I will present an extension of his interior Holder regularity result to the boundary.
Firstly I will give a rough explanation of his strategy and a short introduction to the theory of Q-valued functions. Afterwards I will present an overview of the regularity results known so far and some examples, to demonstrate the difficulties one encounters. In the last part I will sketch the proof of the boundary regularity result.
Practical information
- Informed public
- Free
Organizer
- prof. Marc Troyanov and Daniele Valtorta