<html 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=utf-8">
<meta name="Generator" content="Microsoft Word 15 (filtered medium)">
<style><!--
/* Font Definitions */
@font-face
{font-family:"Cambria Math";
panose-1:2 4 5 3 5 4 6 3 2 4;}
@font-face
{font-family:Calibri;
panose-1:2 15 5 2 2 2 4 3 2 4;}
/* Style Definitions */
p.MsoNormal, li.MsoNormal, div.MsoNormal
{margin:0cm;
font-size:11.0pt;
font-family:"Calibri",sans-serif;}
a:link, span.MsoHyperlink
{mso-style-priority:99;
color:#0563C1;
text-decoration:underline;}
span.EmailStyle19
{mso-style-type:personal-reply;
font-family:"Calibri",sans-serif;
color:windowtext;}
.MsoChpDefault
{mso-style-type:export-only;
font-size:10.0pt;}
@page WordSection1
{size:612.0pt 792.0pt;
margin:72.0pt 72.0pt 72.0pt 72.0pt;}
div.WordSection1
{page:WordSection1;}
--></style>
</head>
<body lang="en-NL" link="#0563C1" vlink="#954F72" style="word-wrap:break-word">
<div class="WordSection1">
<p class="MsoNormal"><span lang="EN-US" style="mso-fareast-language:EN-US">Dear all,<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="mso-fareast-language:EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="mso-fareast-language:EN-US">I'm sending this to the full topology mailing list because we will be reading a new paper and there might be renewed interest in this seminar. Further correspondence will not be send
to this list so send me an email if you want to be included in this.<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="mso-fareast-language:EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="mso-fareast-language:EN-US">Tomorrow at 15:00 Ronen will speak about his own work on Polysymplectic things.<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="mso-fareast-language:EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="mso-fareast-language:EN-US">Then I'm on holiday.
<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="mso-fareast-language:EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="mso-fareast-language:EN-US">We will commence the AG again in week 6 (of feb the 6<sup>th</sup>). My preference would be to not to move the AG. But I want to check if people still are able to attend on this timeslot.
I also propose some other timeslots. Can you fill in this datumprikker if you want to attend?<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="mso-fareast-language:EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="mso-fareast-language:EN-US"><a href="https://datumprikker.nl/phxhgvy3cxt4k9u6">https://datumprikker.nl/phxhgvy3cxt4k9u6</a><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="mso-fareast-language:EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="mso-fareast-language:EN-US">Just pretend that this is a generic week in the second semester.
<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="mso-fareast-language:EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="mso-fareast-language:EN-US">I would like to read Thom's seminal work on manifolds up to cobordism "</span><b><span lang="EN-US" style="font-size:13.0pt;font-family:"Arial",sans-serif;color:black">
</span></b><b><span style="mso-fareast-language:EN-US">Quelques propriétés globales des variétés differentiables</span></b><span lang="EN-US" style="mso-fareast-language:EN-US">" for which he was awarded the Fields medal. I've attached an English translation
of this paper. <o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="mso-fareast-language:EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="mso-fareast-language:EN-US">In this paper Thom proves amongst other things<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="mso-fareast-language:EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:black">He proves that maps can be made transverse generically (This part I would like to skip as many of us know this already.)<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:black">He proves the Thom isomorphism</span><span style="color:black"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:black">He shows that all classes in H_k(X;Z_2) are represented by the fundamental class a manifold mapping into X</span><span style="color:black"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:black">He show that not all classes in H_k(X;Z) are represented by fundamental classes of manifolds mapping into X</span><span style="color:black"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:black">He fully computes the unoriented cobordism ring.<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:black">He proves that two manifolds are cobordant iff they have the same Stiefel Whitney numbers<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:black"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:black">I think before we delve into this paper it would be good to study the Steenrod squares.
<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:black"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:black">The plan is now:<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:black"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:black">In week 6 I will give an overview talk<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:black">In week 7 (maybe also 8) Michael (maybe someone else will do part II) will treat Steenrod squares following a book of Hausmann<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:black">After that we commence with the paper of Thom.
<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:black"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:black">I will need volunteers for speakers. Send me an email if you want to talk.
<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:black"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:black">Last thing: Two new talks in the DDT&G have been scheduled. See here:
<a href="https://www.few.vu.nl/~trt800/ddtg.html">https://www.few.vu.nl/~trt800/ddtg.html</a> . Please mark them in your agenda.
<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:black"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:black">Best,<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:black">Thomas<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:black"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:black"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:black"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="color:black"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="color:black"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="mso-fareast-language:EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="mso-fareast-language:EN-US"><o:p> </o:p></span></p>
</div>
</body>
</html>