<div dir="ltr"><div><font face="arial, helvetica, sans-serif" style="font-size:13px">I sent out an announcement about the </font><font face="arial, helvetica, sans-serif">Geometry/Topology seminar this Thursday with the wrong date. The correct date is April 2. Below is the correct seminar info.</font></div><div><font face="arial, helvetica, sans-serif"><br></font></div><div><font face="arial, helvetica, sans-serif"><br></font></div><font face="arial, helvetica, sans-serif" style="font-size:13px"><div><font face="arial, helvetica, sans-serif" style="font-size:13px"><br></font></div>  BINGHAMTON GEOMETRY/TOPOLOGY SEMINAR<br><br><br>   Date: Thursday, April 2, 2015<br><br>   Time:  2.50 pm<br><br>   Place: Whitney Hall, Room 100E,  followed by coffee/tea in the<br>      Hilton Reading Room. Note the new location of the math department (</font><a href="http://www2.math.binghamton.edu/p/directions" target="_blank" style="font-size:12.8000001907349px">http://www2.math.binghamton.edu/p/directions</a><span style="font-size:12.8000001907349px">)</span><font face="arial, helvetica, sans-serif" style="font-size:13px">.<br><br><br> </font><font face="arial, helvetica, sans-serif" style="font-size:12.7272720336914px">  </font><font face="arial, helvetica, sans-serif" style="font-size:12.8000001907349px">Speaker: </font><span style="color:rgb(51,51,51);font-family:Arial,sans-serif;font-size:15px;line-height:21px">Jim Belk (Bard College) </span><span style="color:rgb(51,51,51);font-family:Arial,sans-serif;font-size:15px;line-height:21px"> </span><div style="font-size:12.8000001907349px"><div style="font-size:12.8000001907349px"><font face="arial, helvetica, sans-serif"><font color="#333333"><span style="line-height:21px">   Title: </span></font></font><span style="color:rgb(51,51,51);font-family:Arial,sans-serif;font-size:15px;line-height:21px"> </span><span style="color:rgb(51,51,51);font-family:Arial,sans-serif;font-size:15px;line-height:21px">Rearrangement Groups of Fractals</span></div><div style="font-size:12.8000001907349px"><span style="color:rgb(51,51,51);font-family:Arial,sans-serif;font-size:15px;line-height:21px"><br></span></div><div><span style="font-size:15px;color:rgb(51,51,51);font-family:Arial,sans-serif;line-height:21px">   </span><span style="color:rgb(51,51,51);font-family:Arial,sans-serif;line-height:21px">Abstract:</span><span style="color:rgb(51,51,51);font-family:Arial,sans-serif;line-height:21px"> </span><span style="color:rgb(51,51,51);font-family:Arial,sans-serif;font-size:15px;line-height:21px">The definition of Thompson&#39;s group</span><span style="color:rgb(51,51,51);font-family:Arial,sans-serif;font-size:15px;line-height:21px"> </span><span style="font-size:15px;word-wrap:normal;white-space:nowrap;direction:ltr;border:0px;padding:0px;margin:0px;color:rgb(51,51,51);font-family:Arial,sans-serif"><span style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px;width:0.947em"><span style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px;width:0.781em;min-height:0px;font-size:18px"><span style="border:0px;padding:0px;margin:0px;vertical-align:0px"><span style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px"><span style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px"><img src="https://www2.math.binghamton.edu/js/mathjax-MathJax-727332c/fonts/HTML-CSS/TeX/png/Math/Italic/400/0046.png" class="" style="border: 0px; vertical-align: 0px; color: rgb(102, 102, 102); font-style: italic; min-height: 13px; max-width: none; padding: 0px; max-height: none; width: 14px; display: inline !important; float: none !important; background-color: transparent;"><span style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px;overflow:hidden;min-height:1px;width:0.114em"></span></span></span><span style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px;width:0px;min-height:1.725em"></span></span></span><span style="display:inline-block;border-width:0px 0px 0px 0.003em;border-left-style:solid;padding:0px;margin:0px;vertical-align:-0.063em;overflow:hidden;width:0px;min-height:1.003em"></span></span></span><span style="color:rgb(51,51,51);font-family:Arial,sans-serif;font-size:15px;line-height:21px"> depends crucially on the self-similar structure of the unit interval. In this talk, I will describe a family of Thompson-like groups that act on a variety of self-similar structures. Each of these groups has an associated CAT(0) cubical complex, analogous to the Farley complexes for </span><span style="color:rgb(136,136,136);font-family:Arial,sans-serif;font-size:15px;line-height:21px"></span><span style="font-size:15px;word-wrap:normal;white-space:nowrap;direction:ltr;border:0px;padding:0px;margin:0px;color:rgb(51,51,51);font-family:Arial,sans-serif"><span style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px;width:0.947em"><span style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px;width:0.781em;min-height:0px;font-size:18px"><span style="border:0px;padding:0px;margin:0px;vertical-align:0px"><span style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px"><span style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px"><img src="https://www2.math.binghamton.edu/js/mathjax-MathJax-727332c/fonts/HTML-CSS/TeX/png/Math/Italic/400/0046.png" class="" style="border: 0px; vertical-align: 0px; color: rgb(102, 102, 102); font-style: italic; min-height: 13px; max-width: none; padding: 0px; max-height: none; width: 14px; display: inline !important; float: none !important; background-color: transparent;"><span style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px;overflow:hidden;min-height:1px;width:0.114em"></span></span></span><span style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px;width:0px;min-height:1.725em"></span></span></span><span style="display:inline-block;border-width:0px 0px 0px 0.003em;border-left-style:solid;padding:0px;margin:0px;vertical-align:-0.063em;overflow:hidden;width:0px;min-height:1.003em"></span></span></span><span style="color:rgb(51,51,51);font-family:Arial,sans-serif;font-size:15px;line-height:21px">, </span><span style="color:rgb(136,136,136);font-family:Arial,sans-serif;font-size:15px;line-height:21px"></span><span style="font-size:15px;word-wrap:normal;white-space:nowrap;direction:ltr;border:0px;padding:0px;margin:0px;color:rgb(51,51,51);font-family:Arial,sans-serif"><span style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px;width:0.892em"><span style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px;width:0.725em;min-height:0px;font-size:18px"><span style="border:0px;padding:0px;margin:0px;vertical-align:0px"><span style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px"><span style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px"><img src="https://www2.math.binghamton.edu/js/mathjax-MathJax-727332c/fonts/HTML-CSS/TeX/png/Math/Italic/400/0054.png" class="" style="border: 0px; vertical-align: 0px; color: rgb(102, 102, 102); font-style: italic; min-height: 13px; max-width: none; padding: 0px; max-height: none; width: 13px; display: inline !important; float: none !important; background-color: transparent;"><span style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px;overflow:hidden;min-height:1px;width:0.114em"></span></span></span><span style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px;width:0px;min-height:1.725em"></span></span></span><span style="display:inline-block;border-width:0px 0px 0px 0.003em;border-left-style:solid;padding:0px;margin:0px;vertical-align:-0.063em;overflow:hidden;width:0px;min-height:1.003em"></span></span></span><span style="color:rgb(51,51,51);font-family:Arial,sans-serif;font-size:15px;line-height:21px">, and </span><span style="color:rgb(136,136,136);font-family:Arial,sans-serif;font-size:15px;line-height:21px"></span><span style="font-size:15px;word-wrap:normal;white-space:nowrap;direction:ltr;border:0px;padding:0px;margin:0px;color:rgb(51,51,51);font-family:Arial,sans-serif"><span style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px;width:0.947em"><span style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px;width:0.781em;min-height:0px;font-size:18px"><span style="border:0px;padding:0px;margin:0px;vertical-align:0px"><span style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px"><span style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px"><img src="https://www2.math.binghamton.edu/js/mathjax-MathJax-727332c/fonts/HTML-CSS/TeX/png/Math/Italic/400/0056.png" class="" style="border: 0px; vertical-align: -1px; color: rgb(102, 102, 102); font-style: italic; min-height: 14px; max-width: none; padding: 0px; max-height: none; width: 14px; display: inline !important; float: none !important; background-color: transparent;"><span style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px;overflow:hidden;min-height:1px;width:0.169em"></span></span></span><span style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px;width:0px;min-height:1.781em"></span></span></span><span style="display:inline-block;border-width:0px 0px 0px 0.003em;border-left-style:solid;padding:0px;margin:0px;vertical-align:-0.063em;overflow:hidden;width:0px;min-height:1.003em"></span></span></span><span style="color:rgb(51,51,51);font-family:Arial,sans-serif;font-size:15px;line-height:21px">. By analyzing descending links on these complexes, I will show that some of these groups have type </span><span style="color:rgb(136,136,136);font-family:Arial,sans-serif;font-size:15px;line-height:21px"></span><span style="font-size:15px;word-wrap:normal;white-space:nowrap;direction:ltr;border:0px;padding:0px;margin:0px;color:rgb(51,51,51);font-family:Arial,sans-serif"><span style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px;width:1.781em"><span style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px;width:1.447em;min-height:0px;font-size:18px"><span style="border:0px;padding:0px;margin:0px;vertical-align:0px"><span style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px"><span style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px"><span style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px;width:1.447em;min-height:0px"><span style="border:0px;padding:0px;margin:0px;vertical-align:0px"><span style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px"><img src="https://www2.math.binghamton.edu/js/mathjax-MathJax-727332c/fonts/HTML-CSS/TeX/png/Math/Italic/400/0046.png" class="" style="border: 0px; vertical-align: 0px; color: rgb(102, 102, 102); font-style: italic; min-height: 13px; max-width: none; padding: 0px; max-height: none; width: 14px; display: inline !important; float: none !important; background-color: transparent;"><span style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px;overflow:hidden;min-height:1px;width:0.114em"></span></span><span style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px;width:0px;min-height:1.725em"></span></span><span style="border:0px;padding:0px;margin:0px;vertical-align:0px"><span style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px;font-size:12.7259998321533px"><img src="https://www2.math.binghamton.edu/js/mathjax-MathJax-727332c/fonts/HTML-CSS/TeX/png/Main/Regular/283/221E.png" class="" style="border: 0px; vertical-align: 0px; color: rgb(102, 102, 102); font-style: italic; min-height: 6px; max-width: none; padding: 0px; margin: 0px 0.058em 0px 0px; max-height: none; width: 12px; display: inline !important; float: none !important; background-color: transparent;"></span><span style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px;width:0px;min-height:1.336em"></span></span></span></span></span><span style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px;width:0px;min-height:1.003em"></span></span></span><span style="display:inline-block;border-width:0px 0px 0px 0.003em;border-left-style:solid;padding:0px;margin:0px;vertical-align:-0.263em;overflow:hidden;width:0px;min-height:1.203em"></span></span></span><span style="color:rgb(51,51,51);font-family:Arial,sans-serif;font-size:15px;line-height:21px">. This is joint work with Bradley Forrest.</span></div><div><span style="color:rgb(51,51,51);font-family:Arial,sans-serif;font-size:15px;line-height:21px"><br></span></div><div><br></div><div><font face="arial, helvetica, sans-serif">NOTE:  The seminar has a webpage where the semester&#39;s program is listed:<br><br><a href="http://www2.math.binghamton.edu/p/seminars/topsem" target="_blank" style="font-size:13px">http://www2.math.binghamton.<u></u>edu/p/seminars/topsem</a></font></div></div></div>