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Topics in Teichmuller Theory and Kleinian Groups

November 12, 2007 to November 16, 2007
Organized By: Jeff Brock, Ken Bromberg, Richard Canary, Howard Masur, Alan Reid, Maryam Mirzakhani, and John Smillie
 
Parent Programs:
Teichmuller Theory and Kleinian Groups
 
Return to Workshop Description
 

Cannon-Thurston Maps

Monday November 12, 2007

04:45PM - 05:45PM

Speakers:
Mahan Mitra

Abstract:

We shall briefly sketch the ideas that go into proving the
existence of Cannon-Thurston maps for finitely generated Kleinian
groups, i.e. the natural (inclusion) map of the Cayley graph of such a
group into the universal cover admits a continuous extension from the
Gromov boundary to the limit set. One important consequence is that
connected limit sets of finitely generated Kleinian groups are locally
connected.
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