ÿþ<html> <head> <meta http-equiv=Content-Type content="text/html; charset=unicode"> <meta name=Generator content="Microsoft Word 14 (filtered)"> <link rel=Stylesheet type="text/css" media=all href=style.css> <style> <!-- /* Font Definitions */ @font-face {font-family:Consolas; panose-1:2 11 6 9 2 2 4 3 2 4;} /* Style Definitions */ p.MsoNormal, li.MsoNormal, div.MsoNormal {margin:0in; margin-bottom:.0001pt; font-size:12.0pt; font-family:"Times New Roman","serif";} a:link, span.MsoHyperlink {color:black; font-weight:bold; text-decoration:none none;} a:visited, span.MsoHyperlinkFollowed {color:black; font-weight:bold; text-decoration:none none;} pre {mso-style-link:"HTML Preformatted Char"; margin:0in; margin-bottom:.0001pt; font-size:10.0pt; font-family:Consolas;} span.HTMLPreformattedChar {mso-style-name:"HTML Preformatted Char"; mso-style-link:"HTML Preformatted"; font-family:Consolas;} p.date, li.date, div.date {mso-style-name:date; margin-top:2.25pt; margin-right:0in; margin-bottom:.75pt; 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margin:1.0in 1.0in 1.0in 1.0in;} div.WordSection1 {page:WordSection1;} /* List Definitions */ ol {margin-bottom:0in;} ul {margin-bottom:0in;} --> </style> <meta name=description content="Dartmouth Mathematical Society"> <meta name=keywords content="math, mathematics, Dartmouth mathematics society, Dartmouth math society, Dartmouth math club, Dartmouth mathematics club, Dartmouth math forum, Dartmouth mathematics forum, Dartmouth math organization, Dartmouth mathematics organization, math club, math organization, math forum, Dartmouth College"> </head> <body bgcolor=white background=bluegreen.jpg lang=EN-US link=black vlink=black> <div class=WordSection1> <table class=MsoNormalTable border=0 cellpadding=0 width="80%" style='width:80.0%;margin-left:.5pt'> <tr> <td style='padding:.75pt .75pt .75pt 0in'> <table class=MsoNormalTable border=0 cellpadding=0 width="80%" style='width:80.0%;margin-left:.5pt'> <tr> <td valign=top style='padding:.75pt .75pt .75pt 0in'> <p class=MsoNormal><script src="logo.js"> </script><u1:p>&nbsp;</u1:p><script> var dot = "greenDot.gif"; var spacer = "spacer.gif"; function showDot(show, i) { if (show==1) document.images[i].src=dot; else document.images[i].src=spacer; } </script><script src="buttons.js"> </script></p> </td> <!--outer table--><!--buttons table--><!--end of buttons table--> <td width="100%" valign=top style='width:100.0%;padding:.75pt .75pt .75pt 0in' id=maintd><!--main table with content (add news here)--> <table class=MsoNormalTable border=1 cellpadding=0 width="100%" style='width:100.0%;border-top:solid #006666 1.5pt;border-left:none; border-bottom:solid #006666 1.5pt;border-right:none' id=main> <tr> <td style='border:none;padding:0in .75pt 15.0pt 0in'> <p class=maintitle1 style='background:#006666'><span style='font-family: "Arial","sans-serif"'>NEWS<u1:p></u1:p></span></p> </td> </tr> <tr> <td style='border:none;padding:0in .75pt 15.0pt 0in'> <p class=MsoNormal style='margin-top:6.0pt;margin-right:0in;margin-bottom: 0in;margin-left:.5in;margin-bottom:.0001pt'><b>The first Spring Term Mathematics Society Meeting will be </b></p> <p class=MsoNormal style='margin-top:6.0pt;margin-right:0in;margin-bottom: 0in;margin-left:.5in;margin-bottom:.0001pt'><b>&nbsp;</b></p> <p class=MsoNormal style='margin-top:6.0pt;margin-right:0in;margin-bottom: 0in;margin-left:.5in;margin-bottom:.0001pt'><b>Wednesday May 2 at 6 PM in Kemeny 006</b></p> <p class=MsoNormal style='margin-top:6.0pt;margin-right:0in;margin-bottom: 0in;margin-left:.5in;margin-bottom:.0001pt'><b>Speaker: Professor Craig Sutton, Mathematics Department, Dartmouth College</b></p> <p class=MsoNormal style='margin-top:6.0pt;margin-right:0in;margin-bottom: 0in;margin-left:.5in;margin-bottom:.0001pt'><b>Title: Vibrating drums, Cayley graphs and isospectral surfaces</b></p> <p class=MsoNormal style='margin-top:6.0pt;margin-right:0in;margin-bottom: 0in;margin-left:.5in;margin-bottom:.0001pt'><b>Abstract:&nbsp;</b>&nbsp;In 1966, Kac asked whether it is possible for a person with perfect pitch to hear the shape of a drum.</p> <p class=MsoNormal style='margin-top:6.0pt;margin-right:0in;margin-bottom: 0in;margin-left:.5in;margin-bottom:.0001pt'>That is, he wondered whether two drums which sound exactly the same must be geometrically identical. This question has a natural generalization to surfaces and higher dimensional manifolds. After defining precisely what it means for us to &quot;hear&quot; a drum, surface or manifold, we will then show how Cayley graphs can be used to construct surfaces that sound the same, but are geometrically distinct. If time allows we will also discuss some original work related to this problem done by Seunghee Ye ('10) in his Honors Thesis.</p> </td> </tr> <tr> <td style='border:none;padding:0in .75pt 15.0pt 0in'> <p class=MsoNormal style='margin-top:6.0pt;margin-right:0in;margin-bottom: 0in;margin-left:.5in;margin-bottom:.0001pt'><b><i><u>Putnam Training Sessions<u1:p></u1:p></u></i></b></p> <p class=MsoNormal style='margin-top:6.0pt;margin-right:0in;margin-bottom: 0in;margin-left:.5in;margin-bottom:.0001pt'><b>Putnam Exam training sessions will resume in Fall 2012. The Putnam Coaches are <a href="http://www.math.dartmouth.edu/~chernov">Vladimir Chernov</a> and <a href="http://www.math.dartmouth.edu/~sergi">Sergi Elizalde</a></b></p> <p class=MsoNormal style='margin-top:6.0pt'>&nbsp;</p> <p class=MsoNormal style='margin-top:6.0pt;margin-right:0in;margin-bottom: 0in;margin-left:.5in;margin-bottom:.0001pt'><u><a href="http://www.math.dartmouth.edu/~mathteam/people.html"><b><u>List of Mathematics Society Members</u></b></a></u></p> <p class=MsoNormal style='margin-top:6.0pt;margin-right:0in;margin-bottom: 0in;margin-left:.5in;margin-bottom:.0001pt'><u><a href="http://www.math.dartmouth.edu/~mathteam/events.html"><b><u>Events this term</u></b></a></u></p> <p class=MsoNormal style='margin-top:6.0pt;margin-right:0in;margin-bottom: 0in;margin-left:.5in;margin-bottom:.0001pt'><u><a href="http://www.math.dartmouth.edu/~mathteam/archive.html"><b><u>Archive of events from previous terms</u></b></a></u></p> </td> </tr> <tr> <td width="99%" style='width:99.48%;border:none;border-bottom:solid #006666 1.5pt; background:#006666;padding:.75pt .75pt 0in 3.0pt'> <p class=MsoNormal style='margin-bottom:2.25pt'><b><span style='font-size:10.0pt;font-family:"Arial","sans-serif";color:white'>OTHER NEWS RESOURCES<u1:p></u1:p></span></b></p> </td> </tr> <tr> <td style='border:none;padding:0in .75pt 15.0pt 0in'> <ul style='margin-top:0in' type=disc> <li class=MsoNormal><span style='font-size:10.5pt;font-family:"Arial","sans-serif"'><a href="http://www.maa.org/news/news.html"><b>MAA News and Features</b></a><u1:p></u1:p></span></li> <li class=MsoNormal><span style='font-size:10.5pt;font-family:"Arial","sans-serif"'><a href="http://www.ams.org/news/home-news.html"><b>AMS News</b></a><u1:p></u1:p></span></li> </ul> </td> </tr> </table> <p class=MsoNormal><script src="copyright.js"> </script></p> </td> </tr> <!--end of main table with content--><u1:p></u1:p> </table> <p class=MsoNormal><u1:p>&nbsp;</u1:p></p> </td> </tr> <!--end of outer table--> </table> <p class=MsoNormal>&nbsp;</p> </div> </body> </html>