Number Theory Seminar - A new lower bound for sphere packing
Event details
| Date | 14.05.2024 |
| Hour | 14:15 › 15:30 |
| Speaker | Julian Sahasrabudhe (Cambridge) |
| Location | |
| Category | Conferences - Seminars |
| Event Language | English |
What is the maximum proportion of d-dimensional space that can be covered by non-overlapping, identical spheres? In this talk I will discuss a new lower bound for this problem, which is the first asymptotically growing improvement to Rogers' bound from 1947. Our proof is almost entirely combinatorial and reduces to a novel theorem about independent sets in graphs with bounded degrees and codegrees. This is based on joint work with Marcelo Campos, Matthew Jenssen and Marcus Michelen.
Practical information
- Informed public
- Free
Contact
- Laetitia Al-Sulaymaniyin