Event time:
Monday, October 21, 2024 - 4:15pm
Location:
KT205
Speaker:
Omri Solan
Speaker affiliation:
Hebrew University
Event description:
We will discuss the following result. For every geometrically finite Kleinian group Γ < SL2(ℂ) there is εΓ such that for every g ∈ SL2(ℂ) the intersection gΓg-1 ∩ SL2(ℝ) is either a lattice or a has critical exponent δ(gΓg-1 ∩ SL2(ℝ)) ≤ 1-εΓ.
This result extends Margulis-Mohammadi and Bader-Fisher-Milier-Strover.
We will discuss some ideas of the proof. We will focus on the applications of a new ergodic component, of preservation of entropy in a direction.