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“Can one
hear the shape of a space ?“
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Date: |
Download-files: |
Time: |
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Wednesday, 26. March. 2014 |
Audio-only-Recording as MP3-File
(smallest possible size):
- Audio.mp3 (ca.29Mb) ============================================ Video-Recording for any system with MP4-support:
- Video.mp4 (ca.252Mb) |
15:15 – 16:15 |
Abstract:
The famous
question of M. Kac, "Can one hear the shape of a
drum?", asks to determine the shape of a drumhead
by
hearing its eigenfrequencies. Similar questions that
involve eigenfrequencies of more general objects
(for instance Riemannian manifolds) appear in various places
in mathematics and applications.
The study
of these questions involves an interesting mix of analysis, geometry, dynamical
systems, algebra and
number
theory.
In this
talk I will give an overview of the topic and discuss recent joint results with
G. Paternain (
G. Uhlmann (Washington/Helsinki).