REGULARITY OF SURFACES MINIMIZING AREA IN GENERAL CODIMENSION
Event details
| Date | 19.06.2012 |
| Hour | 10:00 › 11:00 |
| Speaker | Prof. Emanuele SPADARO - MPI für Mathematik in den Naturwissenchaften |
| Location | |
| Category | Conferences - Seminars |
The study of minimal surfaces has been central in many problems in geometric analysis and partial differential equations. In particular, the questions of the existence and regularity have played a crucial role in this regard. However, despite their relevance, some basic issues have been settled recently and many remain still open.
In this talk I will discuss some of the main questions on the regularity of surfaces minimizing the area (in the class of rectifiable currents in geometric measure theory). Differently from the case of hypersurfaces, our knowledge of the singularities in higher codimension is much poorer and, in its most general form, it consists of an estimate on the dimension of the singular set due to Almgren and proved in his "Big regularity paper".
I will present some new results on this line obtained in collaboration with Prof. C. De Lellis (University of Zurich), which eventually lead to a new simplified proof of Almgren's partial regularity result.
In this talk I will discuss some of the main questions on the regularity of surfaces minimizing the area (in the class of rectifiable currents in geometric measure theory). Differently from the case of hypersurfaces, our knowledge of the singularities in higher codimension is much poorer and, in its most general form, it consists of an estimate on the dimension of the singular set due to Almgren and proved in his "Big regularity paper".
I will present some new results on this line obtained in collaboration with Prof. C. De Lellis (University of Zurich), which eventually lead to a new simplified proof of Almgren's partial regularity result.
Practical information
- General public
- Free
Organizer
- Prof. Philippe Michel - Chair of Analytic Number Theory
Contact
- marcia gouffon