AG Geometrische Analysis (Winter Semester 2018/19)
- Lecturer: Prof. Dr. Tobias Lamm
- Classes: Seminar (0125100)
- Weekly hours: 2
Schedule | ||
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Seminar: | Tuesday 14:00-15:30 | SR 2.67 |
Lecturers | ||
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Lecturer | Prof. Dr. Tobias Lamm | |
Office hours: | ||
Room 2.040 Kollegiengebäude Mathematik (20.30) | ||
Email: tobias.lamm@kit.edu |
- November 6th 2018 (Tuesday), 2pm (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.