<div dir="ltr"><div dir="ltr"><div><div class="gmail_default" style="font-family:georgia,serif;font-size:small;color:rgb(0,0,0)"><div><div class="gmail_default"><font face="georgia, serif" color="#000000"><b><font style="vertical-align:inherit"><font style="vertical-align:inherit">When:    </font></font></b><font style="vertical-align:inherit"><font style="vertical-align:inherit"> Friday, March 28th at <b><font style="background-color:rgb(255,255,0)">10:30 AM CT</font></b></font></font></font></div><div><p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><font face="georgia, serif" color="#000000"> </font></p><p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><font face="georgia, serif" color="#000000"><font style="vertical-align:inherit"><font style="vertical-align:inherit"><b>Where:    </b><span class="gmail_default"><b></b></span><span class="gmail_default">T</span></font></font>alk will be given <font style="font-weight:bold"><u style="background-color:rgb(255,255,0)">live, in-person</u></font><font style="font-weight:bold"> </font>at</font></p><p class="MsoNormal" style="margin:0in;line-height:normal;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><font color="#000000" face="georgia, serif">                     TTIC, 6045 S. Kenwood Avenue</font></p><p class="MsoNormal" style="margin:0in;line-height:normal;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><font color="#000000" face="georgia, serif">                     5th Floor, Room 530<b> </b></font></p><p class="MsoNormal" style="margin:0in;line-height:normal;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><font color="#000000" face="georgia, serif"><b><br></b></font></p><p class="MsoNormal" style="margin:0in;line-height:normal;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><font face="georgia, serif" color="#000000"><span class="gmail_default"><b>Virtually:  </b>via Panopto<b> </b>(<a href="https://uchicago.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=256a48f8-b19e-47a2-b69e-b28e0117ffaa" target="_blank">Livestream</a>) </span><b><br></b></font></p><p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><font face="georgia, serif" color="#000000"> </font></p><p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><font face="georgia, serif" color="#000000"><b><font style="vertical-align:inherit"><font style="vertical-align:inherit">Who:      <span class="gmail_default"></span>   </font></font></b><span class="gmail_default"></span><span class="gmail_default"></span>Irit Dinur, Weizmann Institution of Science</font></p></div><div><b><font face="georgia, serif" color="#000000"><br></font></b></div><div><font face="georgia, serif" color="#000000"><b>Title:        </b>Local-to-global" Theorems On High Dimensional Expanders</font></div><div><p></p><div><font face="georgia, serif" color="#000000"><b>Abstract:  </b>Expansion in graphs is a well studied topic, with a wealth of applications in many areas of mathematics and the theory of computation.<span class="gmail_default"> </span>High dimensional expansion is a generalization of expansion from graphs to higher dimensional objects, such as simplicial complexes or partially ordered sets.</font></div><font face="georgia, serif" color="#000000">High dimensional expanders are still far from understood, but one fascinating new aspect is how global properties emerge from local ones. This phenomenon has already led to progress on longstanding questions in the areas of error-correcting codes, and Probabilistically Checkable Proofs (PCPs).<span class="gmail_default"> </span>I will describe the two key definitions: cosystolic expansion and link expansion. I will then describe how these relate to some of the exciting new applications.</font></div><div><br></div><div><div><font face="georgia, serif" color="#000000"><b><span class="gmail_default"></span>Bio:</b>  Irit Dinur is an Israeli computer scientist. She is professor of computer science at the Weizmann Institute of Science. Irit’s research is in Foundations of Computer Science and in Combinatorics, especially Probabilistically Checkable Proofs, hardness of approximation, and most recently high dimensional expanders.</font></div><div><font face="georgia, serif" color="#000000"><br></font></div><div><p style="box-sizing:border-box;border-radius:0px;margin:0px 0px 10px"><font face="georgia, serif" color="#000000"><span style="box-sizing:border-box;border-radius:0px;font-weight:700">Hos</span><b><span style="box-sizing:border-box;border-radius:0px">t:<span class="gmail_default"> <a href="mailto:madhurt@ttic.edu" target="_blank">Madhur </a></span></span><a href="mailto:madhurt@ttic.edu" target="_blank">Tulsiani</a></b></font></p></div></div></div><div><br></div><span class="gmail_signature_prefix">--</span><br><div dir="ltr" class="gmail_signature"><div dir="ltr"><b style="color:rgb(34,34,34);font-family:Arial,Helvetica,sans-serif"><font color="#3d85c6">Brandie Jones </font></b><div style="color:rgb(34,34,34);font-family:Arial,Helvetica,sans-serif"><div><div><font color="#3d85c6"><b><i>Executive </i></b></font><b style="color:rgb(61,133,198)"><i>Administrative Assistant</i></b></div></div><div><font color="#3d85c6">Toyota Technological Institute</font></div><div><font color="#3d85c6">6045 S. Kenwood Avenue</font></div><div><font color="#3d85c6">Chicago, IL  60637</font></div></div><div style="color:rgb(34,34,34);font-family:Arial,Helvetica,sans-serif"><font color="#3d85c6"><a href="http://www.ttic.edu/" target="_blank">www.ttic.edu</a> </font></div><br></div></div></div></div></div>
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