Seminar
| Parent Program: | |
|---|---|
| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
We introduce the pressure metric for Anosov representations. We
explain the mechanism behind its incompleteness, which is essentially
geometric. This mechanism can be observed both for the Hitchin component
and for quasi-Fuchsian space. In the latter case, the pressure metric
diameter is finite. Time permitting, we introduce some alternative metrics
which may be better behaved. Most of this is based on joint work with
Pierre-Louis Blayac, Theo Marty, Andrea Monti, and joint work with Elia
Fioravanti, Frieder Jaeckel and Yongquan Zhang.