The sphere packing problem in dimensions 8 and 24
Event details
| Date | 26.05.2016 |
| Hour | 14:15 › 16:00 |
| Speaker | Dr Maryna Viazovska (Humboldt University of Berlin) |
| Location | |
| Category | Conferences - Seminars |
In this talk we will show that the sphere packing problem in dimensions 8 and 24 can be solved by a linear programing method. In 2003 N. Elkies and H. Cohn proved that the existence of a real function satisfying certain constrains leads to an upper bound for the sphere packing constant. Using this method they obtained almost sharp estimates in dimensions 8 and 24. We will show that functions providing exact bounds can be constructed explicitly as certain integral transforms of modular forms. Therefore, we solve the sphere packing problem in dimensions 8 and 24.
Practical information
- General public
- Free
Organizer
- Prof. Clément Hongler