<html><head><meta http-equiv="content-type" content="text/html; charset=utf-8"></head><body dir="auto"><div dir="ltr">This math talk (March 2, 3pm, Eck 202) may be of interest to some. Julia is also talking at our Theory seminar on March 8, I will send a separate announcement about that one. <br><br></div><blockquote type="cite"><div dir="ltr"><b>From:</b> Mat <matwimberly@uchicago.edu><br><b>Date:</b> March 1, 2022 at 8:13:47 AM CST<br><b>To:</b> all_math@lists.uchicago.edu<br><b>Subject:</b> <b>Colloquium: Julia Wolf (Cambridge)</b><br><b>Reply-To:</b> Mat <matwimberly@uchicago.edu><br><br></div></blockquote><blockquote type="cite"><div dir="ltr">
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<title>Colloquium: Julia Wolf (Cambridge)</title>
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<h1 class="null" style="text-align: center;display: block;margin: 0;padding: 0;color: #222222;font-family: Helvetica;font-size: 40px;font-style: normal;font-weight: bold;line-height: 150%;letter-spacing: normal;"><strong>Julia Wolf<br>
(Cambridge)</strong></h1>
<h3 class="null" style="text-align: center;display: block;margin: 0;padding: 0;color: #444444;font-family: Helvetica;font-size: 22px;font-style: normal;font-weight: bold;line-height: 150%;letter-spacing: normal;">When is a Mathematical Object Well-Behaved</h3>
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<br>
<strong>Abstract:</strong><br>
<br>
In this talk we will come at this question from two<br>
different angles: first, from the viewpoint of model theory, a subject<br>
in which for nearly half a century the notion of stability has played<br>
a central role in describing tame behaviour; secondly, from the<br>
perspective of combinatorics, where so-called regularity<br>
decompositions have enjoyed a similar level of prominence in a range<br>
of finitary settings, with remarkable applications.<br>
<br>
In recent years, these two fundamental notions have been shown to<br>
interact in interesting ways. In particular, it has been shown that<br>
mathematical objects that are stable in the model-theoretic sense<br>
admit particularly well-behaved regularity decompositions. In this<br>
talk we will explore this fruitful interplay in the context of both<br>
finite graphs and subsets of abelian groups.<br>
<br>
To the extent that time permits, I will go on to describe recent joint<br>
work with Caroline Terry (The Ohio State University), in which we<br>
develop a higher-arity generalisation of stability that implies (and<br>
in some cases characterises) the existence of particularly pleasant<br>
higher-order regularity decompositions.
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<td valign="top" class="mcnTextContent" style="padding-top: 0;padding-right: 18px;padding-bottom: 9px;padding-left: 18px;mso-line-height-rule: exactly;-ms-text-size-adjust: 100%;-webkit-text-size-adjust: 100%;word-break: break-word;color: #757575;font-family: Helvetica;font-size: 16px;line-height: 150%;text-align: left;">
<p style="text-align: center;margin: 10px 0;padding: 0;mso-line-height-rule: exactly;-ms-text-size-adjust: 100%;-webkit-text-size-adjust: 100%;color: #757575;font-family: Helvetica;font-size: 16px;line-height: 150%;"><span style="font-size:20px"><strong>This will be a hybrid meeting. If you are not able to make it in person, please join us using the link below:</strong></span><br>
</p>
<p style="margin: 10px 0;padding: 0;mso-line-height-rule: exactly;-ms-text-size-adjust: 100%;-webkit-text-size-adjust: 100%;color: #757575;font-family: Helvetica;font-size: 16px;line-height: 150%;text-align: left;"><strong>Topic: </strong>Colloquium: Julia Wolf</p>
<p style="margin: 10px 0;padding: 0;mso-line-height-rule: exactly;-ms-text-size-adjust: 100%;-webkit-text-size-adjust: 100%;color: #757575;font-family: Helvetica;font-size: 16px;line-height: 150%;text-align: left;"><strong>Time:</strong> Mar 2, 2022 03:00 PM Central Time (US and Canada)</p>
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<p style="margin: 10px 0;padding: 0;mso-line-height-rule: exactly;-ms-text-size-adjust: 100%;-webkit-text-size-adjust: 100%;color: #757575;font-family: Helvetica;font-size: 16px;line-height: 150%;text-align: left;">https://uchicago.zoom.us/j/93101870371?pwd=MDQ4Z09zTlE5TE1xOE9zMmVEU04rdz09</p>
<p style="margin: 10px 0;padding: 0;mso-line-height-rule: exactly;-ms-text-size-adjust: 100%;-webkit-text-size-adjust: 100%;color: #757575;font-family: Helvetica;font-size: 16px;line-height: 150%;text-align: left;"><strong>Meeting ID:</strong> 931 0187 0371</p>
<p style="margin: 10px 0;padding: 0;mso-line-height-rule: exactly;-ms-text-size-adjust: 100%;-webkit-text-size-adjust: 100%;color: #757575;font-family: Helvetica;font-size: 16px;line-height: 150%;text-align: left;"><strong>Passcode:</strong> 746996</p>
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