Finsler compactification of vector spaces
Event details
| Date | 03.11.2016 |
| Hour | 13:00 › 14:00 |
| Speaker | Corina Ciobotaru (Université de Fribourg) |
| Location |
MA 31
|
| Category | Conferences - Seminars |
A real vector space V of dimension n admits various compactifications depending on the metric that is considered on V. For example, when V is endowed with the usual Euclidean metric, the corresponding compactification is V union with the n-1 dimensional sphere. In a recent joint work with Linus Kramer and Petra Schwer we study the case of a (not necessarily symmetric) Finsler metric d_F on V. By employing elementary results from model theory and ultraproducts of metric spaces we give an easy proof that the corresponding ''compactification'' of (V, d_F) is V union with the boundary of the dual polyhedron associated with d_F.
Practical information
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- Free