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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">Elyassaf Loyfer</span></b><o:p></o:p></p>
<p class="MsoNormal"><b><span style="font-size:11.0pt;font-family:Helvetica">Hebrew University of Jerusalem</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">October 8<span style="color:black">, 202</span>4<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">Location: Kent 102</span></b><o:p></o:p></p>
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<p class="MsoNormal"><span style="font-size:11.0pt"> </span><b><i><u><span style="font-size:14.0pt">Title:</span></u></i></b><i><span style="font-size:14.0pt">
</span></i><span style="font-size:14.0pt">Rate vs. Distance - Milestones and Obstacles Towards Improved Bounds*</span><o:p></o:p></p>
<p class="MsoNormal"><span style="font-size:14.0pt"> (*no bounds were harmed (yet) in the making of this research)</span><o:p></o:p></p>
<p class="MsoNormal"><b><i><span style="font-size:14.0pt"> </span></i></b><o:p></o:p></p>
<p class="MsoNormal"><b><i><span style="font-size:14.0pt">Abstract</span></i></b><i><span style="font-size:14.0pt">:
</span></i><span style="font-size:14.0pt">The rate vs. distance problem is a major open problem of coding theory. Significant progress has stalled since 1977. The best-known upper bound, established by MRRW, is derived from Delsarte’s reformulation of the combinatorial
question as a linear program (LP). This breakthrough sparked a line of research into stronger optimization problems. However, the more powerful formulations have remained difficult to analyze, and no improved bounds have been achieved yet. In this talk, I
will present new results on the analysis of a recently developed LP hierarchy. I will discuss the techniques employed, current limitations, and possible strategies to deal with these challenges.</span><o:p></o:p></p>
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<p class="MsoNormal"><span style="font-size:14.0pt">Based on joint work with Leonardo Nagami Coregliano, Fernando Granha Jeronimo, Chris Jones, and Nati Linial</span><o:p></o:p></p>
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<p><span style="color:black"> </span><b><i><span style="font-size:14.0pt;color:black">Bio: </span></i></b><span style="font-size:14.0pt;color:black">Elyassaf Loyfer is a PhD student in the School of Computer Science at the Hebrew University of Jerusalem, working
under the supervision of Prof. Nati Linial. He has a broad interest in theoretical computer science and combinatorics.</span><o:p></o:p></p>
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<p style="margin-bottom:12.0pt"><b><span style="font-family:Helvetica;color:black">Host:<span class="apple-converted-space"> A</span></span></b><span class="apple-converted-space"><b><span style="font-family:Helvetica">lexander Razborov</span></b></span><br>
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