|
Status |
Confirmed |
|
Seminar Series |
MATH-IHES |
|
Subjects |
math |
|
Date |
Monday 7 October 2019 |
|
Time |
14:30 |
|
Institute |
IHES |
|
Seminar Room |
Amphithéâtre Léon Motchane |
|
Speaker's Last Name |
Dujardin |
|
Speaker's First Name |
Romain |
|
Speaker's Email Address |
|
|
Speaker's Institution |
LPMA, Sorbonne Université |
|
Title |
Degenerations of SL(2,C) Representations and Lyapunov Exponents |
|
Abstract |
Let G be a finitely generated group endowed with some probability measure $\mu$ and $(\rho_{\lambda})$ be a non-compact algebraic family of representations of G into SL(2,C). This gives rise to a random product of matrices depending on the parameter $\lambda$, so the upper Lyapunov exponent defines a function on the parameter space. Using techniques from non-Archimedean analysis and algebraic geometry, we study the asymptotics of the Lyapunov exponent when $\lambda$ goes to infinity. This is joint work with Charles Favre. |
|
arXiv Preprint Number |
|
|
Comments |
Séminaire Géométrie et groupes discrets |
|
Attachments |
|
