Hyperbolic lattice point counting in unbounded rank
Event details
| Date | 11.01.2024 |
| Hour | 14:15 › 16:00 |
| Speaker | Chris Lutzko (UZH) |
| Location | |
| Category | Conferences - Seminars |
| Event Language | English |
Counting lattice points in balls is a classical problem which goes back to Gauss in the Euclidean setting. In the hyperbolic setting this corresponds to counting matrices of norm T in \SL_n(\Z). For n=2 the record belongs to Selberg in the early 1980s. In a recent paper with Valentin Blomer we extend Selberg's method to higher rank (n > 2) and thus improve on the best known bounds for the hyperbolic lattice point counting problem in higher rank. In the first half of this talk I will introduce the problem, summarize the history, and give a sketch of Selberg's method. Then in the second half I will give a sketch of the proof of Blomer and myself.
Practical information
- Informed public
- Free
Organizer
- Michel Philippe
Contact
- Laetitia Al-Sulaymaniyin