Counting negatively curved manifolds
- Date
- Apr 26, 2017
- Time
- 5:00 PM - 6:00 PM
- Speaker
- Prof. Dr. Roman Sauer
- Affiliation
- Karlsruher Institut für Technologie, Fakultät für Mathematik
- Series
- TUD Dresdner Mathematisches Seminar
- Language
- en
- Main Topic
- Mathematik
- Other Topics
- Mathematik
- Host
- Prof. Dr. A. Thom
- Description
- The topology of a negatively curved or non-positively curved manifold is strongly controlled by its volume. The classical Gauss-Bonnet theorem is a prime example of this phenomenon. We discuss the following questions: How many negatively curved manifolds are there below a certain volume? Is the size of their topological invariants universally bounded in terms of their volume? We answer these questions by developing a kind of simplicial thick-thin decomposition the manifold. This is based on joint work with Tsachik Gelander and Uri Bader.
Last modified: Mar 22, 2017, 11:53:07 AM
Location
TUD Willers-Bau (WIL C 307)Zellescher Weg12-1401069Dresden
- Homepage
- https://navigator.tu-dresden.de/etplan/wil/00
Organizer
TUD MathematikWillersbau, Zellescher Weg12-1401069Dresden
- Phone
- 49-351-463 33376
- Homepage
- http://tu-dresden.de/mathematik
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