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<p class="MsoNormal"><i><span style="font-size:12.0pt;font-family:Helvetica;color:#8B0102"> </span></i><o:p></o:p></p>
<p class="MsoNormal"><i><span style="font-size:12.0pt;font-family:Helvetica;color:#8B0102">UNIVERSITY OF CHICAGO</span></i><o:p></o:p></p>
<p class="MsoNormal"><i><span style="font-size:12.0pt;font-family:Helvetica;color:#8B0102">COMPUTER SCIENCE DEPARTMENT</span></i><o:p></o:p></p>
<p class="MsoNormal"><i><span style="font-size:12.0pt;font-family:Helvetica;color:#8B0102">PRESENTS</span></i><o:p></o:p></p>
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<p class="MsoNormal"><b><span style="font-size:12.0pt;font-family:Helvetica">Fan Wei</span></b><o:p></o:p></p>
<p class="MsoNormal"><b><span style="font-size:11.0pt;font-family:Helvetica">Princeton University</span></b><o:p></o:p></p>
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<p class="MsoNormal"><b><span style="font-size:11.0pt;color:black">Tuesday, </span>
</b><b><span style="font-size:11.0pt">February 28<span style="color:black">, 202</span>3<span style="color:black"> at 3:30pm</span></span></b><o:p></o:p></p>
<p class="MsoNormal"><b><span style="font-size:11.0pt;color:black;background:yellow">Kent Chemical Laboratory, Room 102</span></b><o:p></o:p></p>
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<p style="margin:0in"><b><i><span style="font-size:12.0pt">Title:</span></i></b><span style="font-size:12.0pt">
<span style="color:#333333;background:white">Graph limits and common graphs with arbitrarily large chromatic number</span></span><o:p></o:p></p>
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<p style="margin:0in"><b><i><span style="font-size:12.0pt">Abstract:</span></i></b><b><span style="font-size:12.0pt">
</span></b><span style="font-size:12.0pt"> <span style="color:#333333;background:white">Graph limits is a recently developed powerful theory in studying graphs from a continuous perspective. In this talk, we will show how the perspective of graph limits helps
with graph homomorphism inequalities and how to make advances in a common theme in extremal combinatorics: when does randomness give nearly optimal bounds? For example, we show this perspective recently helps us answer a question on Ramsey theory raised by
Jagger-Stovicek-Thomason’96, Hatami-Hladky-Kral’-Norine-Razborov’12, Conlon-Fox-Sudakov’15, where they asked whether there are common graphs with arbitrarily large chromatic numbers. This is based on a joint work with Dan Kral' and Jan Volec.</span></span><o:p></o:p></p>
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<p><b><i><span style="font-size:12.0pt">Bio:</span></i></b><span style="font-size:12.0pt">
<span style="color:#333333;background:white">Fan Wei is currently an instructor at Department of Mathematics, Princeton university. Prior to that, she has been at IAS and was a PhD student at Stanford University under the supervision of Jacob Fox. Fan will
join Duke University as an assistant professor in mathematics in Fall 2023. Her research interests include combinatorics, graph theory, probabilistic methods, and applications in theoretical computer science.</span></span><o:p></o:p></p>
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<p style="margin-bottom:12.0pt"><b><span style="font-size:12.0pt;font-family:Helvetica;color:black">Host:<span class="apple-converted-space"> Alexander Razborov</span></span></b><br>
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