University of Cambridge > Talks.cam > Differential Geometry and Topology Seminar > Free versus locally free Kleinian groups.

  Browse A-Z

Log in

University Account External (via Google)

🔐 Log In

Information on

Subscribing to talksdetails Finding a talkdetails Adding a talkdetails Disseminating talksdetails Help and Documentationdetails

ℹī¸ Information

Free versus locally free Kleinian groups.

Download to your calendar using vCal

  • UserJuan Souto, Rennes
  • ClockWednesday 30 April 2014, 16:00-17:00
  • HouseMR13.

If you have a question about this talk, please contact Ivan Smith .

It is well-known that a finitely generated torsion free Kleinian group without higher rank abelian subgroups and whose limit set is a Cantor set is isomorphic to a free group. What might be less well-known is that this fails for infinitely generated groups. Indeed one can prove that for each \epsilon>0 there is a torsion free non-elementary Kleinian group whose limit set is a Cantor set of Hausdorff dimension at most 1+\epsilon and which is not free. On the other hand, we prove that any torsion-free Kleinian group whose limit set has Hausdorff dimension less than 1 is indeed free. This is join work with Pekka Pankka.

This talk is part of the Differential Geometry and Topology Seminar series.

This talk is included in these lists:

Note that ex-directory lists are not shown.

Other lists

in person at Gurdon Institute Cambridge Startup Class Judge Business School, Trumpington Street, Room W2.02

Other talks

Ice in a mostly-Arctic Context Necessary mechanisms for super AI and stopping hallucinations: The consistent reasoning paradox and the indeterminacy function The uplift and erosion history of the Gamburtsev Subglacial Mountains and their role in the formation of the East Antarctic Ice Sheet Group Work Title to be confirmed An Amphibious Urbanism | | Cut 4: The Desert Arrives Slowly
 

Š 2006-2025 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity