<div dir="ltr"><font face="arial, helvetica, sans-serif" style="font-size:13px">  BINGHAMTON GEOMETRY/TOPOLOGY SEMINAR<br><br><br>   Date: Thursday, May 7th, 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:16.7999992370605px">Boris Kalinin (Pennsylvania State University) </span><div><div style="font-size:12.8000001907349px"><font face="arial, helvetica, sans-serif"><font color="#333333"><span style="line-height:21px">   </span></font></font></div><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:16.7999992370605px">Smooth rigidity and classification for hyperbolic systems and actions</span><span style="color:rgb(51,51,51);font-family:Arial,sans-serif;font-size:15px;line-height:16.7999992370605px"> </span></div><div style="font-size:12.8000001907349px"><span style="color:rgb(51,51,51);font-family:Arial,sans-serif;font-size:12.8000001907349px;line-height:21px">    </span></div><div><span style="font-size:12.8000001907349px;color:rgb(51,51,51);font-family:Arial,sans-serif;line-height:21px">    Abstract: </span><span style="font-size:15px;color:rgb(51,51,51);font-family:Arial,sans-serif;line-height:16.7999992370605px">Hyperbolic actions of</span><span style="font-size:15px;color:rgb(51,51,51);font-family:Arial,sans-serif;line-height:16.7999992370605px"> </span><span class="" id="MathJax-Element-25-Frame" style="font-size:15px;display:inline;word-wrap:normal;white-space:nowrap;float:none;direction:ltr;border:0px;padding:0px;margin:0px;color:rgb(51,51,51);font-family:Arial,sans-serif"><span class="" id="MathJax-Span-114" style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px;width:1.447em"><span style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px;width:1.169em;height:0px;font-size:18px"><span style="border:0px;padding:0px;margin:0px;vertical-align:0px"><span class="" id="MathJax-Span-115" style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px"><span class="" id="MathJax-Span-116" 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:1.169em;height:0px"><span style="border:0px;padding:0px;margin:0px;vertical-align:0px"><span class="" id="MathJax-Span-117" style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px"><span class="" id="MathJax-Span-118" style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px"><span class="" id="MathJax-Span-119" 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/AMS/Regular/400/005A.png" style="border: 0px; vertical-align: 0px; color: rgb(102, 102, 102); font-style: italic; height: 13px; 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></span><span style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px;width:0px;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;width:0px;height:1.503em"></span></span></span></span></span><span style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px;width:0px;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:-0.063em;overflow:hidden;width:0px;height:1.27em"></span></span></span><span style="font-size:15px;color:rgb(51,51,51);font-family:Arial,sans-serif;line-height:16.7999992370605px">k and  </span><img src="https://www2.math.binghamton.edu/js/mathjax-MathJax-727332c/fonts/HTML-CSS/TeX/png/AMS/Regular/400/0052.png" style="font-size: 18px; font-family: Arial, sans-serif; white-space: nowrap; border: 0px; vertical-align: 0px; color: rgb(102, 102, 102); font-style: italic; height: 13px; max-width: none; padding: 0px; margin: 0px 0.003em 0px 0px; max-height: none; width: 13px; display: inline !important; float: none !important; background-color: transparent;"><span style="color:rgb(51,51,51);font-family:Arial,sans-serif;white-space:nowrap;display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px;width:1.169em;height:0px;font-size:18px"><span style="border:0px;padding:0px;margin:0px;vertical-align:0px"><span class="" id="MathJax-Span-122" style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px"><span class="" id="MathJax-Span-123" 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:1.169em;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;width:0px;height:1.725em">^k</span></span></span></span></span><span style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px;width:0px;height:1.003em"></span></span></span><span style="color:rgb(51,51,51);font-family:Arial,sans-serif;font-size:15px;white-space:nowrap;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;height:1.27em"></span><span style="color:rgb(51,51,51);font-family:Arial,sans-serif;font-size:15px;white-space:nowrap;line-height:16.7999992370605px">e</span><span style="color:rgb(51,51,51);font-family:Arial,sans-serif;font-size:15px;white-space:nowrap;line-height:16.7999992370605px">xtend the classical notion of Anosov diffeomorphisms and flows, </span><span style="color:rgb(51,51,51);font-family:Arial,sans-serif;font-size:15px;line-height:16.7999992370605px">which are hyperbolic actions of</span><span style="color:rgb(51,51,51);font-family:Arial,sans-serif;font-size:15px;line-height:16.7999992370605px"> </span><span class="" id="MathJax-Element-27-Frame" style="display:inline;font-size:15px;word-wrap:normal;white-space:nowrap;float:none;direction:ltr;border:0px;padding:0px;margin:0px;color:rgb(51,51,51);font-family:Arial,sans-serif"><span class="" id="MathJax-Span-128" 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;height:0px;font-size:18px"><span style="border:0px;padding:0px;margin:0px;vertical-align:0px"><span class="" id="MathJax-Span-129" style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px"><span class="" id="MathJax-Span-130" style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px"><span class="" id="MathJax-Span-131" style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px"><span class="" id="MathJax-Span-132" 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/AMS/Regular/400/005A.png" style="border: 0px; vertical-align: 0px; color: rgb(102, 102, 102); font-style: italic; height: 13px; 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></span></span><span style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px;width:0px;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;height:1.003em"></span></span></span><span style="color:rgb(51,51,51);font-family:Arial,sans-serif;font-size:15px;line-height:16.7999992370605px"> and </span><span class="" style="color:rgb(136,136,136);font-family:Arial,sans-serif;font-size:15px;line-height:16.7999992370605px"></span><span class="" id="MathJax-Element-28-Frame" style="display:inline;font-size:15px;word-wrap:normal;white-space:nowrap;float:none;direction:ltr;border:0px;padding:0px;margin:0px;color:rgb(51,51,51);font-family:Arial,sans-serif"><span class="" id="MathJax-Span-133" 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;height:0px;font-size:18px"><span style="border:0px;padding:0px;margin:0px;vertical-align:0px"><span class="" id="MathJax-Span-134" style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px"><span class="" id="MathJax-Span-135" style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px"><span class="" id="MathJax-Span-136" style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px"><span class="" id="MathJax-Span-137" 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/AMS/Regular/400/0052.png" style="border: 0px; vertical-align: 0px; color: rgb(102, 102, 102); font-style: italic; height: 13px; max-width: none; padding: 0px; margin: 0px 0.003em 0px 0px; max-height: none; width: 13px; display: inline !important; float: none !important; background-color: transparent;"></span></span></span></span><span style="display:inline-block;border:0px;padding:0px;margin:0px;vertical-align:0px;width:0px;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;height:1.003em"></span></span></span><span style="color:rgb(51,51,51);font-family:Arial,sans-serif;font-size:15px;line-height:16.7999992370605px">. In contrast to the rank one case, higher rank hyperbolic actions exhibit various rigidity properties. I will focus on the problem of smooth classification, that is finding a smooth conjugacy to an algebraic model. I will give an overview of this area and compare it with the rank one case, where the natural problem is either topological classification or smooth classification under extra assumptions.</span></div></div><div><span style="color:rgb(51,51,51);font-family:Arial,sans-serif;font-size:15px;line-height:16.7999992370605px"><br></span></div><div><span style="font-family:arial,helvetica,sans-serif;font-size:12.8000001907349px">NOTE:  The seminar has a webpage where the semester&#39;s program is listed:</span><br style="font-family:arial,helvetica,sans-serif;font-size:12.8000001907349px"><br style="font-family:arial,helvetica,sans-serif;font-size:12.8000001907349px"><a href="http://www2.math.binghamton.edu/p/seminars/topsem" target="_blank" style="font-family:arial,helvetica,sans-serif;font-size:13px">http://www2.math.binghamton.<u></u>edu/p/seminars/topsem</a><span style="color:rgb(51,51,51);font-family:Arial,sans-serif;font-size:15px;line-height:16.7999992370605px"><br></span></div></div>