<div class="gmail_quote"><br><div class="gmail_quote"><div class="gmail_quote"><div class="gmail_quote"> BINGHAMTON GEOMETRY/TOPOLOGY SEMINAR<br><div class="gmail_quote"><div class="gmail_quote"><div class="gmail_quote">
<br><i>Date:</i> Thursday, Apr 12, 2012<div><br>
<i>Time:</i> 2:50-3:50pm<br><i>Place:</i> Library North 2205 followed by coffee/tea in the Anderson Reading Room.<br>
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</div><i>Speaker: </i><b> </b>Jim Belk (Bards College)<br><i>Title: </i>A Thompson Group for the Basilica<br>
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<i><br>Abstract: </i>
In the 1960's, Richard J. Thompson described three groups <i>F</i>, <i>T</i>, and <i>V</i>, which act by homeomorphisms on the interval,
the circle, and the Cantor set, respectively. In this talk, I will describe an analogous group that acts by homeomorphisms
on the Basilica Julia set. This group can also be described as a group of piecewise-linear homeomorphisms of the unit
circle that preserves the invariant lamination determined by the Basilica. I will sketch a proof that this group is finitely
generated and virtually simple, and discuss possible generalizations to other Julia sets. This is joint work with Bradley
Forrest.
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