On the type I conjecture for groups acting on trees
Event details
| Date | 01.12.2016 |
| Hour | 13:00 › 14:00 |
| Speaker | Sven Raum |
| Location |
MA 31
|
| Category | Conferences - Seminars |
A locally compact group is of type I -- roughly speaking -- if all its unitary representations can be uniquely written as a direct integral of irreducible representations. This property is of utter importance in the study of Lie groups and algebraic groups. The type I conjecture predicts that every closed subgroup of the automorphism group of a locally finite tree that acts transitively on the boundary of the tree is of type I. A proof of this conjecture would give a new perspective on the representation theory of rank one algebraic groups over non-Archimedean fields and prove a huge class of groups whose representation theory is well-behaved.
I will describe my recent effort to attack the type I conjecture and understand the class of type I groups acting on trees by operator algebraic means.
I will describe my recent effort to attack the type I conjecture and understand the class of type I groups acting on trees by operator algebraic means.
Practical information
- Informed public
- Free