Tits alternative for the Cremona group
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Event details
Date | 09.05.2023 |
Hour | 15:15 › 17:00 |
Speaker | Stéphane Lamy (Université Paul Sabatier, Toulouse) |
Location | |
Category | Conferences - Seminars |
Event Language | English |
A group G satisfies the Tits alternative if any subgroup contains either a free group over 2 generators, of a solvable group of finite index.
The classical result by Jacques Tits is that the linear groups satisfy this alternative, up to restricting to finitely generated subgroups in the case of a ground field of positive characteristic.
In this talk I will explain the strategy of proof to show that the plane Cremona group also satisfies the Tits alternative.
It will essentially be a survey of previous results by Cantat and Urech, with a few contributions by myself mainly for the case of positive characteristic, and also for the classification of torsion subgroups.
Practical information
- Informed public
- Free
Organizer
- Julia Schneider
Contact
- Monique Kiener (if you want to attend to the seminar by zoom, please contact me, and I'll give you the link)