<html>
<head>
<meta http-equiv="Content-Type" content="text/html; charset=us-ascii">
</head>
<body>
<div dir="ltr" style="font-family: Aptos, Arial, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
Dear all,</div>
<div dir="ltr" style="font-family: Aptos, Arial, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
<br>
</div>
<div dir="ltr" style="font-family: Aptos, Arial, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
Below is the announcement for the DDT&G tomorrow.</div>
<div dir="ltr" style="font-family: Aptos, Arial, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
<br>
</div>
<div dir="ltr" style="font-family: Aptos, Arial, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
Some practicalities: We'll have lunch at the Educatorium at 12:30</div>
<div dir="ltr" style="font-family: Aptos, Arial, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
<br>
</div>
<div dir="ltr" style="font-family: Aptos, Arial, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
<a href="https://www.uu.nl/en/educatorium" data-outlook-id="e5c2dbf9-73ab-4af5-b8dd-127f87b9a5ac">https://www.uu.nl/en/educatorium</a></div>
<div dir="ltr" style="font-family: Aptos, Arial, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
<br>
</div>
<div dir="ltr" style="font-family: Aptos, Arial, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
Gabriele is organizing a group to leave from the department in the morning. </div>
<div dir="ltr" style="font-family: Aptos, Arial, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
<br>
</div>
<div dir="ltr" style="font-family: Aptos, Arial, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
See you there!</div>
<div dir="ltr" style="font-family: Aptos, Arial, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
<br>
</div>
<div dir="ltr" style="font-family: Aptos, Arial, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
Best,</div>
<div dir="ltr" style="font-family: Aptos, Arial, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
Thomas</div>
<div dir="ltr" style="font-family: Aptos, Arial, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
<br>
</div>
<div dir="ltr" style="font-family: Aptos, Arial, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
<br>
</div>
<div dir="ltr" style="font-family: Aptos, Arial, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
<br>
</div>
<blockquote style="background-color: rgb(255, 255, 255); margin: 0px 10px;">
<div class="elementToProof" style="text-align: left; text-indent: 0px; font-family: Aptos, Aptos_EmbeddedFont, Aptos_MSFontService, Calibri, Helvetica, sans-serif; font-size: 12pt;">
<span style="color: rgb(0, 0, 0);"><b>Speaker</b>: </span><span style="color: rgb(0, 120, 215);"><a href="https://www.math.tecnico.ulisboa.pt/~pbrito/" target="_blank" id="OWAe57431ab-b269-0833-973e-65f3a5f133ea" class="x_x_x_x_OWAAutoLink" title="https://www.math.tecnico.ulisboa.pt/~pbrito/" rel="noopener noreferrer" data-linkindex="0" data-auth="NotApplicable" data-outlook-id="05abaac5-2fb3-4940-8315-fdb3e5c8b796" style="color: rgb(0, 120, 215); margin: 0px;">Pedro
Boavida de Brito</a></span><span style="color: rgb(0, 0, 0);"> (IST Lisbon)</span></div>
<div dir="ltr" class="elementToProof" style="text-align: left; text-indent: 0px; margin: 0px; font-family: Aptos, Aptos_EmbeddedFont, Aptos_MSFontService, Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
<b>Title</b>: <i>Smooth embeddings from the point of view of operad theory</i></div>
<div dir="ltr" class="elementToProof" style="text-align: left; text-indent: 0px; margin: 0px; font-family: Aptos, Aptos_EmbeddedFont, Aptos_MSFontService, Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
<b>Date</b>: Friday 12 December, 14:30-17:00</div>
<div dir="ltr" class="elementToProof" style="text-align: left; text-indent: 0px; margin: 0px; font-family: Aptos, Aptos_EmbeddedFont, Aptos_MSFontService, Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
<b>Location</b>: Utrecht, KBG-224</div>
<div dir="ltr" class="elementToProof" style="text-align: left; text-indent: 0px; margin: 0px; font-family: Aptos, Aptos_EmbeddedFont, Aptos_MSFontService, Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
<br>
</div>
<div dir="ltr" class="elementToProof" style="text-align: left; text-indent: 0px; margin: 0px; font-family: Aptos, Aptos_EmbeddedFont, Aptos_MSFontService, Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
The schedule will be as follows:</div>
<div dir="ltr" class="elementToProof" style="text-align: left; text-indent: 0px; margin: 0px; font-family: Aptos, Aptos_EmbeddedFont, Aptos_MSFontService, Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
</div>
<div dir="ltr" class="elementToProof" style="text-align: left; text-indent: 0px; margin: 0px; font-family: Aptos, Aptos_EmbeddedFont, Aptos_MSFontService, Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
2:30-3:30 p.m.: first part of the seminar (little to no prior knowledge assumed)</div>
<div dir="ltr" class="elementToProof" style="text-align: left; text-indent: 0px; margin: 0px; font-family: Aptos, Aptos_EmbeddedFont, Aptos_MSFontService, Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
4:00-5:00 p.m.: second part of the seminar (slightly more advanced level)</div>
<div dir="ltr" class="elementToProof" style="text-align: left; text-indent: 0px; margin: 0px; font-family: Aptos, Aptos_EmbeddedFont, Aptos_MSFontService, Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
</div>
<div dir="ltr" class="elementToProof" style="text-align: left; text-indent: 0px; margin: 0px; font-family: Aptos, Aptos_EmbeddedFont, Aptos_MSFontService, Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
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.</div>
<div dir="ltr" class="elementToProof" style="text-align: left; text-indent: 0px; margin: 0px; font-family: Aptos, Aptos_EmbeddedFont, Aptos_MSFontService, Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
<br>
</div>
<div dir="ltr" class="elementToProof" style="text-align: left; text-indent: 0px; margin: 0px; font-family: Aptos, Aptos_EmbeddedFont, Aptos_MSFontService, Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
Please visit the seminar's webpage for additional information and an overview of past and upcoming talks:</div>
<div dir="ltr" class="elementToProof" style="text-align: left; text-indent: 0px; margin: 0px; font-family: Aptos, Aptos_EmbeddedFont, Aptos_MSFontService, Calibri, Helvetica, sans-serif; font-size: 12pt;">
<span style="color: rgb(0, 0, 0);"><br>
</span><span style="color: blue;"><u><a href="https://www.few.vu.nl/~trt800/ddtg.html" target="_blank" id="OWA00e6b53f-88df-2ed9-91b4-18c8efc29c5a" class="x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_ContentPasted1 x_x_x_x_x_x_x_x_x_x_x_x_x_x_OWAAutoLink x_x_x_x_x_x_x_x_x_x_x_x_x_x_ContentPasted0 x_x_x_x_x_x_x_x_x_x_x_x_x_ContentPasted0" title="https://www.few.vu.nl/~trt800/ddtg.html" rel="noopener noreferrer" originalsrc="https://www.few.vu.nl/~trt800/ddtg.html" data-auth="NotApplicable" data-linkindex="1" data-safelink="true" data-loopstyle="linkonly" data-outlook-id="62373a94-91db-4541-8d78-2761b5f7fa7c" style="color: blue; margin: 0px;">https://www.few.vu.nl/~trt800/</a></u></span><span style="color: rgb(7, 7, 6);"><u><a href="https://www.few.vu.nl/~trt800/ddtg.html" target="_blank" id="OWA22b40fbb-a148-449c-e909-48a6f8de06c6" class="x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_ContentPasted1 x_x_x_x_x_x_x_x_x_x_x_x_x_x_OWAAutoLink x_x_x_x_x_x_x_x_x_x_x_x_x_x_ContentPasted0 x_x_x_x_x_x_x_x_x_x_x_x_x_ContentPasted0" title="https://www.few.vu.nl/~trt800/ddtg.html" rel="noopener noreferrer" originalsrc="https://www.few.vu.nl/~trt800/ddtg.html" data-auth="NotApplicable" data-linkindex="2" data-safelink="true" data-loopstyle="linkonly" data-outlook-id="91e7c35a-b6e0-46c4-8b96-e0864ce8de14" style="color: rgb(7, 7, 6); margin: 0px;">ddt</a></u></span><span style="color: blue;"><u><a href="https://www.few.vu.nl/~trt800/ddtg.html" target="_blank" id="OWA7e54f215-7600-1cf6-71ba-540bbc69c642" class="x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_ContentPasted1 x_x_x_x_x_x_x_x_x_x_x_x_x_x_OWAAutoLink x_x_x_x_x_x_x_x_x_x_x_x_x_x_ContentPasted0 x_x_x_x_x_x_x_x_x_x_x_x_x_ContentPasted0" title="https://www.few.vu.nl/~trt800/ddtg.html" rel="noopener noreferrer" originalsrc="https://www.few.vu.nl/~trt800/ddtg.html" data-auth="NotApplicable" data-linkindex="3" data-safelink="true" data-loopstyle="linkonly" data-outlook-id="65402f33-ba67-4b4a-a260-e7df0405ef58" style="color: blue; margin: 0px;">g.html</a></u></span></div>
<div dir="ltr" class="elementToProof" style="text-align: left; text-indent: 0px; margin: 0px; font-family: Aptos, Aptos_EmbeddedFont, Aptos_MSFontService, Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
<br>
</div>
<div dir="ltr" class="elementToProof" style="text-align: left; text-indent: 0px; margin: 0px; font-family: Aptos, Aptos_EmbeddedFont, Aptos_MSFontService, Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
We hope to see many of you next week in Utrecht!</div>
<div dir="ltr" class="elementToProof" style="text-align: left; text-indent: 0px; margin: 0px; font-family: Aptos, Aptos_EmbeddedFont, Aptos_MSFontService, Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
<br>
</div>
<div dir="ltr" class="elementToProof" style="text-align: left; text-indent: 0px; margin: 0px; font-family: Aptos, Aptos_EmbeddedFont, Aptos_MSFontService, Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
Alvaro, Federica and Thomas</div>
<div dir="ltr" class="elementToProof" style="text-align: left; text-indent: 0px; margin: 0px; font-family: Aptos, Aptos_EmbeddedFont, Aptos_MSFontService, Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
</div>
<div dir="ltr" class="elementToProof" style="text-align: left; text-indent: 0px; margin: 0px; font-family: Aptos, Aptos_EmbeddedFont, Aptos_MSFontService, Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
<b>Abstract</b></div>
<div dir="ltr" class="elementToProof" style="text-align: left; text-indent: 0px; margin: 0px; font-family: Aptos, Aptos_EmbeddedFont, Aptos_MSFontService, Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
<br>
</div>
<div dir="ltr" class="elementToProof" style="text-align: left; text-indent: 0px; margin: 0px; font-family: "Segoe UI", "Segoe UI Web (West European)", -apple-system, BlinkMacSystemFont, Roboto, "Helvetica Neue", sans-serif; font-size: 15px; color: rgb(36, 36, 36);">
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).</div>
<div dir="ltr" class="elementToProof" style="text-align: left; text-indent: 0px; margin: 0px; font-family: "Segoe UI", "Segoe UI Web (West European)", -apple-system, BlinkMacSystemFont, Roboto, "Helvetica Neue", sans-serif; font-size: 15px; color: rgb(36, 36, 36);">
<br>
</div>
<div dir="ltr" class="elementToProof" style="text-align: left; text-indent: 0px; margin: 0px; font-family: "Segoe UI", "Segoe UI Web (West European)", -apple-system, BlinkMacSystemFont, Roboto, "Helvetica Neue", sans-serif; font-size: 15px; color: rgb(36, 36, 36);">
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.</div>
<div dir="ltr" class="elementToProof" style="text-align: left; text-indent: 0px; margin: 0px; font-family: Aptos, Aptos_EmbeddedFont, Aptos_MSFontService, Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
<br>
</div>
</blockquote>
<div dir="ltr" class="elementToProof" style="text-align: left; text-indent: 0px; font-family: Aptos, Aptos_EmbeddedFont, Aptos_MSFontService, Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
<br>
</div>
<div dir="ltr" class="elementToProof" style="text-align: left; text-indent: 0px; font-family: Aptos, Aptos_EmbeddedFont, Aptos_MSFontService, Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
<br>
</div>
<div dir="ltr" class="elementToProof" style="text-align: left; text-indent: 0px; font-family: Aptos, Aptos_EmbeddedFont, Aptos_MSFontService, Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
<br>
</div>
<div class="elementToProof" style="text-align: left; text-indent: 0px; font-family: Aptos, Aptos_EmbeddedFont, Aptos_MSFontService, Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
Best,</div>
<div style="font-family: Aptos, Aptos_EmbeddedFont, Aptos_MSFontService, Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
Thomas</div>
<div dir="ltr" style="font-family: Aptos, Arial, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
<br>
</div>
</body>
</html>