<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=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;}
@font-face
{font-family:Aptos;}
@font-face
{font-family:"Segoe UI";
panose-1:2 11 5 2 4 2 4 2 2 3;}
/* Style Definitions */
p.MsoNormal, li.MsoNormal, div.MsoNormal
{margin:0cm;
font-size:12.0pt;
font-family:"Aptos",sans-serif;}
a:link, span.MsoHyperlink
{mso-style-priority:99;
color:blue;
text-decoration:underline;}
span.EmailStyle18
{mso-style-type:personal-reply;
font-family:"Aptos",sans-serif;
color:windowtext;}
.MsoChpDefault
{mso-style-type:export-only;
font-size:10.0pt;
mso-ligatures:none;}
@page WordSection1
{size:612.0pt 792.0pt;
margin:72.0pt 72.0pt 72.0pt 72.0pt;}
div.WordSection1
{page:WordSection1;}
--></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="en-NL" link="blue" vlink="purple" style="word-wrap:break-word">
<div class="WordSection1">
<p class="MsoNormal"><span lang="en-NL" style="font-size:11.0pt;mso-fareast-language:EN-US">Hi all,<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="en-NL" style="font-size:11.0pt;mso-fareast-language:EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="en-NL" style="font-size:11.0pt;mso-fareast-language:EN-US">With Stavroula we are meeting at 11:15 in the living room of the math department of the VU to take a train at 11:42 from Amsterdam Zuid.<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="en-NL" style="font-size:11.0pt;mso-fareast-language:EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="en-NL" style="font-size:11.0pt;mso-fareast-language:EN-US">If you want to join us, write me a message.<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="en-NL" style="font-size:11.0pt;mso-fareast-language:EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="en-NL" style="font-size:11.0pt;mso-fareast-language:EN-US">Lots of hugs and operads,<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="en-NL" style="font-size:11.0pt;mso-fareast-language:EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="en-NL" style="font-size:11.0pt;mso-fareast-language:EN-US">Gabriele<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="en-NL" style="font-size:11.0pt;mso-fareast-language:EN-US"><o:p> </o:p></span></p>
<div>
<div style="border:none;border-top:solid #E1E1E1 1.0pt;padding:3.0pt 0cm 0cm 0cm">
<p class="MsoNormal"><b><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri",sans-serif">From:</span></b><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri",sans-serif"> _list_topology.beta-bounces <topology.beta-bounces@listserver.vu.nl>
<b>On Behalf Of </b>Rot, T.O. (Thomas)<br>
<b>Sent:</b> Thursday, 11 December 2025 18:59<br>
<b>To:</b> _list_topology.beta <topology.beta@listserver.vu.nl><br>
<b>Subject:</b> [Topology.beta] DDT&G: Pedro Boavida de Brito Smooth embeddings from the point of view of operad theory<o:p></o:p></span></p>
</div>
</div>
<p class="MsoNormal"><o:p> </o:p></p>
<div>
<p class="MsoNormal"><span style="color:black">Dear all,<o:p></o:p></span></p>
</div>
<div>
<p class="MsoNormal"><span style="color:black"><o:p> </o:p></span></p>
</div>
<div>
<p class="MsoNormal"><span style="color:black">Below is the announcement for the DDT&G tomorrow.<o:p></o:p></span></p>
</div>
<div>
<p class="MsoNormal"><span style="color:black"><o:p> </o:p></span></p>
</div>
<div>
<p class="MsoNormal"><span style="color:black">Some practicalities: We'll have lunch at the Educatorium at 12:30<o:p></o:p></span></p>
</div>
<div>
<p class="MsoNormal"><span style="color:black"><o:p> </o:p></span></p>
</div>
<div>
<p class="MsoNormal"><span style="color:black"><a href="https://www.uu.nl/en/educatorium">https://www.uu.nl/en/educatorium</a><o:p></o:p></span></p>
</div>
<div>
<p class="MsoNormal"><span style="color:black"><o:p> </o:p></span></p>
</div>
<div>
<p class="MsoNormal"><span style="color:black">Gabriele is organizing a group to leave from the department in the morning. <o:p></o:p></span></p>
</div>
<div>
<p class="MsoNormal"><span style="color:black"><o:p> </o:p></span></p>
</div>
<div>
<p class="MsoNormal"><span style="color:black">See you there!<o:p></o:p></span></p>
</div>
<div>
<p class="MsoNormal"><span style="color:black"><o:p> </o:p></span></p>
</div>
<div>
<p class="MsoNormal"><span style="color:black">Best,<o:p></o:p></span></p>
</div>
<div>
<p class="MsoNormal"><span style="color:black">Thomas<o:p></o:p></span></p>
</div>
<div>
<p class="MsoNormal"><span style="color:black"><o:p> </o:p></span></p>
</div>
<div>
<p class="MsoNormal"><span style="color:black"><o:p> </o:p></span></p>
</div>
<div>
<p class="MsoNormal"><span style="color:black"><o:p> </o:p></span></p>
</div>
<blockquote style="margin-left:7.5pt;margin-right:7.5pt">
<p class="MsoNormal" style="background:white"><b><span style="color:black">Speaker</span></b><span style="color:black">:
</span><span style="color:#0078D7"><a href="https://www.math.tecnico.ulisboa.pt/~pbrito/" target="_blank" title="https://www.math.tecnico.ulisboa.pt/~pbrito/"><span style="color:#0078D7">Pedro Boavida de Brito</span></a></span><span style="color:black"> (IST
Lisbon)</span><o:p></o:p></p>
<p class="MsoNormal" style="background:white"><b><span style="color:black">Title</span></b><span style="color:black">:
<i>Smooth embeddings from the point of view of operad theory</i><o:p></o:p></span></p>
<p class="MsoNormal" style="background:white"><b><span style="color:black">Date</span></b><span style="color:black">: Friday 12 December, 14:30-17:00<o:p></o:p></span></p>
<p class="MsoNormal" style="background:white"><b><span style="color:black">Location</span></b><span style="color:black">: Utrecht, KBG-224<o:p></o:p></span></p>
<p class="MsoNormal" style="background:white"><span style="color:black"><o:p> </o:p></span></p>
<p class="MsoNormal" style="background:white"><span style="color:black">The schedule will be as follows:<o:p></o:p></span></p>
<p class="MsoNormal" style="background:white"><span style="color:black"> <o:p></o:p></span></p>
<p class="MsoNormal" style="background:white"><span style="color:black">2:30-3:30 p.m.: first part of the seminar (little to no prior knowledge assumed)<o:p></o:p></span></p>
<p class="MsoNormal" style="background:white"><span style="color:black">4:00-5:00 p.m.: second part of the seminar (slightly more advanced level)<o:p></o:p></span></p>
<p class="MsoNormal" style="background:white"><span style="color:black"> <o:p></o:p></span></p>
<p class="MsoNormal" style="background:white"><span style="color:black">Please notice that the first part of the seminar (2:30-3:30 p.m.) is intended for general mathematical audience, and master students with an interest in geometry and topology are especially
encouraged to participate.<o:p></o:p></span></p>
<p class="MsoNormal" style="background:white"><span style="color:black"><o:p> </o:p></span></p>
<p class="MsoNormal" style="background:white"><span style="color:black">Please visit the seminar's webpage for additional information and an overview of past and upcoming talks:<o:p></o:p></span></p>
<p class="MsoNormal" style="background:white"><span style="color:black"><br>
</span><u><span style="color:blue"><a href="https://www.few.vu.nl/~trt800/ddtg.html" target="_blank" title="https://www.few.vu.nl/~trt800/ddtg.html">https://www.few.vu.nl/~trt800/</a></span></u><u><span style="color:#070706"><a href="https://www.few.vu.nl/~trt800/ddtg.html" target="_blank" title="https://www.few.vu.nl/~trt800/ddtg.html"><span style="color:#070706">ddt</span></a></span></u><u><span style="color:blue"><a href="https://www.few.vu.nl/~trt800/ddtg.html" target="_blank" title="https://www.few.vu.nl/~trt800/ddtg.html">g.html</a></span></u><o:p></o:p></p>
<p class="MsoNormal" style="background:white"><span style="color:black"><o:p> </o:p></span></p>
<p class="MsoNormal" style="background:white"><span style="color:black">We hope to see many of you next week in Utrecht!<o:p></o:p></span></p>
<p class="MsoNormal" style="background:white"><span style="color:black"><o:p> </o:p></span></p>
<p class="MsoNormal" style="background:white"><span style="color:black">Alvaro, Federica and Thomas<o:p></o:p></span></p>
<p class="MsoNormal" style="background:white"><span style="color:black"> <o:p></o:p></span></p>
<p class="MsoNormal" style="background:white"><b><span style="color:black">Abstract</span></b><span style="color:black"><o:p></o:p></span></p>
<p class="MsoNormal" style="background:white"><span style="color:black"><o:p> </o:p></span></p>
<p class="MsoNormal" style="background:white"><span style="font-size:11.5pt;font-family:"Segoe UI",sans-serif;color:#242424">Given two smooth embeddings from one manifold to another, are they isotopic? In the so-called metastable range, Haefliger and Becker
showed this problem is controlled by a single cohomology class, a complete obstruction to isotopy. I will explain, with examples, how embedding calculus generalises this by providing not one but a finite list of obstruction classes which form a complete obstruction
to isotopy (when we have convergence).<o:p></o:p></span></p>
<p class="MsoNormal" style="background:white"><span style="font-size:11.5pt;font-family:"Segoe UI",sans-serif;color:#242424"><o:p> </o:p></span></p>
<p class="MsoNormal" style="background:white"><span style="font-size:11.5pt;font-family:"Segoe UI",sans-serif;color:#242424">In the second part, I will give an account of the formality of the little discs operad and describe recent joint work with Joana Cirici
and Geoffroy Horel showing that formality also holds when the orthogonal group action is taken into account. This has striking consequences to the rational homotopy type of embedding spaces, which I will explain, and extends results of Fresse-Turchin-Willwacher
to manifolds which are not parallelized.<o:p></o:p></span></p>
<p class="MsoNormal" style="background:white"><span style="color:black"><o:p> </o:p></span></p>
</blockquote>
<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 style="color:black"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="color:black">Best,<o:p></o:p></span></p>
<div>
<p class="MsoNormal"><span style="color:black">Thomas<o:p></o:p></span></p>
</div>
<div>
<p class="MsoNormal"><span style="color:black"><o:p> </o:p></span></p>
</div>
</div>
</body>
</html>