AG Geometrische Analysis (Wintersemester 2018/19)
- Dozent*in: Prof. Dr. Tobias Lamm
- Veranstaltungen: Seminar (0125100)
- Semesterwochenstunden: 2
| Termine | ||
|---|---|---|
| Seminar: | Dienstag 14:00-15:30 | SR 2.67 |
| Lehrende | ||
|---|---|---|
| Seminarleitung | Prof. Dr. Tobias Lamm | |
| Sprechstunde: nach Vereinbarung | ||
| Zimmer 2.040 Kollegiengebäude Mathematik (20.30) | ||
| Email: tobias.lamm@kit.edu | ||
- 06. November 2018 (Dienstag), 14:00 Uhr (SR 2.067): Fritz Hiesmayr (University of Cambridge)
Title: Index bounds in the Allen-Cahn construction
Abstract:
In the Allen-Cahn construction one constructs minimal surfaces as the
weak limit of level sets of a semilinear elliptic PDE, called the Allen-Cahn
equation. In this talk I will give a brief overview of the Allen-Cahn
theory, and then present my work relating the variational properties
of the solutions of the Allen-Cahn equation to the surface arising in
the limit. For example, the minimal surface inherits index bounds from
a sequence of unstable critical points; time permitting I will sketch a
proof of this.