פעילויות השבוע
BGU Probability and Ergodic Theory (PET) seminar
On the denseness of horospheres in higher-rank
דצמ 28, 11:10—12:00, 2023, -101
מרצה
Or Landesberg (Yale)
תקציר
In this talk I will discuss a necessary and sufficient condition for denseness of horopherical orbits in the non-wandering set of a higher-rank homogeneous space $G / \Gamma$, for a Zariski dense discrete subgroup $\Gamma < G$, possibly of infinite covolume. In rank one this condition (established in this setting by Eberlein and Dal‘bo) implies in particular that the horospherical subgroup acts minimally on the non-wandering set if and only if the discrete group $\Gamma$ is convex co-compact. In contrast, we show that Schottky groups in higher-rank can support non-minimal horospherical actions. This distinction between rank-one and higher-rank is due to the role that Benoist‘s limit cone plays in the analysis. Based on joint work with Hee Oh.
BGU Probability and Ergodic Theory (PET) seminar
On the denseness of horospheres in higher-rank
דצמ 28, 11:10—12:00, 2023, -101
מרצה
Or Landesberg (Yale)
תקציר
In this talk I will discuss a necessary and sufficient condition for denseness of horopherical orbits in the non-wandering set of a higher-rank homogeneous space $G / \Gamma$, for a Zariski dense discrete subgroup $\Gamma < G$, possibly of infinite covolume. In rank one this condition (established in this setting by Eberlein and Dal‘bo) implies in particular that the horospherical subgroup acts minimally on the non-wandering set if and only if the discrete group $\Gamma$ is convex co-compact. In contrast, we show that Schottky groups in higher-rank can support non-minimal horospherical actions. This distinction between rank-one and higher-rank is due to the role that Benoist‘s limit cone plays in the analysis. Based on joint work with Hee Oh.