<html xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:w="urn:schemas-microsoft-com:office:word" xmlns:m="http://schemas.microsoft.com/office/2004/12/omml" xmlns="http://www.w3.org/TR/REC-html40">
<head>
<meta http-equiv=Content-Type content="text/html; charset=iso-8859-9">
<meta name=Generator content="Microsoft Word 12 (filtered medium)">
<style>
<!--
/* Font Definitions */
@font-face
{font-family:Calibri;
panose-1:2 15 5 2 2 2 4 3 2 4;}
@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:0cm;
margin-bottom:.0001pt;
font-size:11.0pt;
font-family:"Calibri","sans-serif";}
a:link, span.MsoHyperlink
{mso-style-priority:99;
color:blue;
text-decoration:underline;}
a:visited, span.MsoHyperlinkFollowed
{mso-style-priority:99;
color:purple;
text-decoration:underline;}
p.MsoPlainText, li.MsoPlainText, div.MsoPlainText
{mso-style-priority:99;
mso-style-link:"Plain Text Char";
margin:0cm;
margin-bottom:.0001pt;
font-size:10.5pt;
font-family:Consolas;}
span.PlainTextChar
{mso-style-name:"Plain Text Char";
mso-style-priority:99;
mso-style-link:"Plain Text";
font-family:Consolas;}
span.EmailStyle19
{mso-style-type:personal;
font-family:"Calibri","sans-serif";
color:windowtext;}
span.EmailStyle20
{mso-style-type:personal-reply;
font-family:"Calibri","sans-serif";
color:#1F497D;}
.MsoChpDefault
{mso-style-type:export-only;
font-size:10.0pt;}
@page Section1
{size:612.0pt 792.0pt;
margin:70.85pt 70.85pt 70.85pt 70.85pt;}
div.Section1
{page:Section1;}
-->
</style>
<!--[if gte mso 9]><xml>
<o:shapedefaults v:ext="edit" spidmax="1026" />
</xml><![endif]--><!--[if gte mso 9]><xml>
<o:shapelayout v:ext="edit">
<o:idmap v:ext="edit" data="1" />
</o:shapelayout></xml><![endif]-->
</head>
<body lang=TR link=blue vlink=purple>
<div class=Section1>
<p class=MsoNormal><span lang=EN-US style='color:#1F497D'><o:p> </o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='color:#1F497D'><o:p> </o:p></span></p>
<p class=MsoNormal><span lang=EN-US><o:p> </o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:12.0pt;font-family:"Arial","sans-serif"'>Sayın
Matematikçiler,<o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:12.0pt;font-family:"Arial","sans-serif"'><o:p> </o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:12.0pt;font-family:"Arial","sans-serif"'>Oklahoma
Üniversitesi(ABD) öğretim üyelerinden Prof. Dr. Murad Özaydın Doğuş Üniversitesi
Matematik Bölümünde bir konuşma yapacaktır. İlgilenenlere saygıyla duyurulur.<o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:12.0pt;font-family:"Arial","sans-serif"'><o:p> </o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:12.0pt;font-family:"Arial","sans-serif"'>Tarih:
<b>13 Ekim 2009 SALI</b><o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:12.0pt;font-family:"Arial","sans-serif"'>Saat:
<b>16:00-18:00<o:p></o:p></b></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:12.0pt;font-family:"Arial","sans-serif"'>Yer:
<b>H-705</b><o:p></o:p></span></p>
<p class=MsoPlainText><span lang=EN-US><o:p> </o:p></span></p>
<p class=MsoPlainText><span lang=EN-US><o:p> </o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:12.0pt;font-family:"Arial","sans-serif"'>Dear
All,</span><span style='font-size:12.0pt;font-family:"Arial","sans-serif"'><o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:12.0pt;font-family:"Arial","sans-serif"'><o:p> </o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:12.0pt;font-family:"Arial","sans-serif"'>Professor
Murad Özaydın<span style='color:#1F497D'>,</span> <span style='color:#1F497D'>The
University of Oklahoma</span></span><span lang=EN-US style='font-size:12.0pt'>,<span
style='color:#1F497D'> USA</span></span><span lang=EN-US style='font-size:12.0pt;
font-family:"Arial","sans-serif"'>. will give a talk at the Department of
Department of Mathematics, Doğuş University. All interested are cordially
invited.<o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:12.0pt;font-family:"Arial","sans-serif"'><o:p> </o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:12.0pt;font-family:"Arial","sans-serif";
color:#1F497D'>Date</span><span lang=EN-US style='font-size:12.0pt;font-family:
"Arial","sans-serif"'> <b><span style='color:#1F497D'>Oct.13,</span> 2009 <span
style='color:#1F497D'>Tuesday</span></b><o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:12.0pt;font-family:"Arial","sans-serif";
color:#1F497D'>Time</span><span lang=EN-US style='font-size:12.0pt;font-family:
"Arial","sans-serif"'> <b>16:00-18:00<o:p></o:p></b></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:12.0pt;font-family:"Arial","sans-serif";
color:#1F497D'>Place</span><span lang=EN-US style='font-size:12.0pt;font-family:
"Arial","sans-serif"'>: <b>H-705</b><o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:12.0pt;font-family:"Arial","sans-serif"'><o:p> </o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:12.0pt;font-family:"Arial","sans-serif";
color:#1F497D'>Title</span><span lang=EN-US style='font-size:12.0pt;font-family:
"Arial","sans-serif"'>: <b>Topological Combinatorics<o:p></o:p></b></span></p>
<p class=MsoPlainText><span lang=EN-US style='font-size:12.0pt;font-family:
"Arial","sans-serif";color:#1F497D'>ABSTRACT:</span><span lang=EN-US
style='font-size:12.0pt;font-family:"Arial","sans-serif"'> Topological
Combinatorics is a relatively new subdiscipline of mathematics, with a history
of merely three decades, where methods of (usually equivariant) Algebraic
Topology are used to prove theorems in Combinatorics.(This is in contrast to
the more classical Combinatorial Topology where Combinatorics is the tool and
the aim is Topology.) In many cases either no "combinatorial" proof
is known, or such proofs are more complicated, less intuitive and are
discretized versions of the continuous proof. Examples are the Kneser and
Lovasz Conjectures (about graph colorings), the Evasiveness Conjecture (of
Complexity Theory), Necklace Splittings as well as related results in finite
group theory (Homological Sylow Theorems) and discrete/convex geometry
(Topological Radon-Tverberg Theorems).<o:p></o:p></span></p>
<p class=MsoPlainText><span lang=EN-US style='font-size:12.0pt;font-family:
"Arial","sans-serif"'><o:p> </o:p></span></p>
<p class=MsoPlainText><span lang=EN-US style='font-size:12.0pt;font-family:
"Arial","sans-serif"'>By far the most useful facts are the Borsuk-Ulam Theorem,
the so called Dold's Theorem (a ge<span style='color:#1F497D'>ne</span>ralization
of Borsuk-Ulam) and extensions of these. Some of these (completely topological)
results were in fact motivated by such applications as mentioned above.
The talk will be mostly explaining and fleshing out this abstract with
examples.<o:p></o:p></span></p>
<p class=MsoPlainText><span lang=EN-US style='font-size:12.0pt;font-family:
"Arial","sans-serif"'><o:p> </o:p></span></p>
<p class=MsoPlainText><span lang=EN-US style='font-size:12.0pt'><o:p> </o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:12.0pt'><o:p> </o:p></span></p>
<p class=MsoNormal><b><span lang=EN-US style='font-size:12.0pt;font-family:
"Times New Roman","serif";color:#1F497D'>C.Koç<o:p></o:p></span></b></p>
<p class=MsoNormal><b><span lang=EN-US style='color:#1F497D'>Doğuş Üniversitesi</span></b><b><span
style='color:#1F497D'><o:p></o:p></span></b></p>
<p class=MsoNormal><span lang=EN-US style='font-size:12.0pt;font-family:"Times New Roman","serif"'><o:p> </o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:12.0pt;font-family:"Times New Roman","serif"'><o:p> </o:p></span></p>
</div>
</body>
</html>