<div dir="ltr"><div><div style="font-family:Calibri,Arial,Helvetica,sans-serif" dir="auto"><span style="font-family:Arial,Helvetica,sans-serif;font-size:large">******************************</span><span style="font-family:Arial,Helvetica,sans-serif;font-size:large">******************************</span><span style="font-family:Arial,Helvetica,sans-serif;font-size:large">**************************</span><b style="font-family:Calibri,Arial,Helvetica,sans-serif;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;word-spacing:1px;color:rgb(49,49,49)"><font size="4" style="font-family:Calibri,Arial,Helvetica,sans-serif;color:rgb(49,49,49)"><br></font></b></div><div style="font-family:Calibri,Arial,Helvetica,sans-serif" dir="auto"><b style="font-family:Calibri,Arial,Helvetica,sans-serif;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;word-spacing:1px;color:rgb(49,49,49)"><font size="4" style="font-family:Calibri,Arial,Helvetica,sans-serif;color:rgb(49,49,49)"><br></font></b></div><div style="font-family:Calibri,Arial,Helvetica,sans-serif" dir="auto"><b style="font-family:Calibri,Arial,Helvetica,sans-serif;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;word-spacing:1px;color:rgb(49,49,49)"><font size="4" style="font-family:Calibri,Arial,Helvetica,sans-serif;color:rgb(49,49,49)">Date</font></b><b style="font-family:Calibri,Arial,Helvetica,sans-serif;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-size:1.13em;word-spacing:1px;color:rgb(49,49,49)">:</b><span style="font-size:1.13em;word-spacing:1px;font-family:Calibri,Arial,Helvetica,sans-serif;color:rgb(49,49,49)"> </span><span style="word-spacing:1px;font-family:Calibri,Arial,Helvetica,sans-serif;color:rgb(49,49,49)"><font size="4" style="font-family:Calibri,Arial,Helvetica,sans-serif;color:rgb(49,49,49)">November 2, 2022</font></span><br></div><div dir="auto" style="background-color:rgba(0,0,0,0)!important;border-color:rgb(0,0,0)!important"><div style="margin:0px;background-color:rgba(0,0,0,0)!important;border-color:rgb(0,0,0)!important"><div style="margin:0px;background-color:rgba(0,0,0,0)!important;border-color:rgb(0,0,0)!important"><div style="margin:0px;background-color:rgba(0,0,0,0)!important;border-color:rgb(0,0,0)!important"><div style="margin:0px;background-color:rgba(0,0,0,0)!important;border-color:rgb(0,0,0)!important"><div style="margin:0px;background-color:rgba(0,0,0,0)!important;border-color:rgb(0,0,0)!important"><div style="margin:0px;color:rgb(32,31,30)"><div style="font-family:Calibri,Arial,Helvetica,sans-serif;margin:0px;word-spacing:1px;color:rgb(49,49,49)"><font style="font-family:Calibri,Arial,Helvetica,sans-serif;color:rgb(49,49,49)" size="4"><b style="font-family:Calibri,Arial,Helvetica,sans-serif">Time: </b>12:30pm CT</font></div><div style="font-family:Calibri,Arial,Helvetica,sans-serif;margin:0px;word-spacing:1px;color:rgb(49,49,49)" dir="auto"><font style="font-family:Calibri,Arial,Helvetica,sans-serif;color:rgb(49,49,49)" size="4"><b style="font-family:Calibri,Arial,Helvetica,sans-serif">Location: </b><span style="font-family:Calibri,Arial,Helvetica,sans-serif">JCL 298</span></font></div><div dir="auto" style="font-family:Calibri,Arial,Helvetica,sans-serif;margin:0px;word-spacing:1px;color:rgb(49,49,49)"><b style="font-family:Calibri,Arial,Helvetica,sans-serif"><font style="font-size:1.13em;font-family:Calibri,Arial,Helvetica,sans-serif;color:rgb(49,49,49)"><br></font></b></div><div dir="auto" style="margin:0px;word-spacing:1px;color:rgb(49,49,49)"><font size="4" style="color:rgb(49,49,49)"><font face="Calibri, Arial, Helvetica, sans-serif" style="font-weight:bold;font-family:Calibri,Arial,Helvetica,sans-serif;color:rgb(49,49,49)">Speaker: </font><font face="Calibri, Arial, Helvetica, sans-serif" style="font-family:Calibri,Arial,Helvetica,sans-serif;color:rgb(49,49,49)"><a href="https://orecchia.net/">Lorenzo Orecchia</a></font></font></div><div dir="auto" style="font-family:Calibri,Arial,Helvetica,sans-serif;margin:0px;word-spacing:1px;color:rgb(49,49,49)"><font size="4" style="font-family:Calibri,Arial,Helvetica,sans-serif;color:rgb(49,49,49)"><br></font></div></div><div style="margin:0px" dir="auto"><span style="font-family:Calibri,Arial,Helvetica,sans-serif;word-spacing:1px;color:rgb(49,49,49)"><font style="font-family:Calibri,Arial,Helvetica,sans-serif;color:rgb(49,49,49)" size="4"><b style="font-family:Calibri,Arial,Helvetica,sans-serif">Title: </b></font></span><span><font size="4">Spectral Graph Theory without a Spectrum: Diffusions on Hypergraphs and Their Convergence </font></span></div><div style="font-family:Calibri,Arial,Helvetica,sans-serif;font-size:15px;margin:0px;color:rgb(32,31,30)"><b style="font-size:16px;word-spacing:1px;font-family:Calibri,Arial,Helvetica,sans-serif;color:rgb(49,49,49)"><font style="font-size:1.13em;font-family:Calibri,Arial,Helvetica,sans-serif;color:rgb(49,49,49)"><br></font></b></div><div style="font-family:Calibri,Arial,Helvetica,sans-serif;font-size:15px;margin:0px;color:rgb(32,31,30)"><span style="margin:0px;font-size:16px;word-spacing:1px;font-family:Calibri,Arial,Helvetica,sans-serif;color:rgb(49,49,49)"><font style="font-size:1.13em;font-family:Calibri,Arial,Helvetica,sans-serif;color:rgb(49,49,49)"><b style="font-family:Calibri,Arial,Helvetica,sans-serif">Zoom: </b>[<a href="https://uchicago.zoom.us/j/92418862747?pwd=c0hpWEU4ZUhCT0NFYXVUZGpCZi9xZz09">link</a>]</font></span></div><div style="font-family:Calibri,Arial,Helvetica,sans-serif;font-size:15px;margin:0px;color:rgb(32,31,30)"><br></div><div style="margin:0px;background-color:rgba(0,0,0,0)!important;border-color:rgb(0,0,0)!important"><div dir="auto" style="margin:0px;background-color:rgba(0,0,0,0)!important;border-color:rgb(0,0,0)!important"><font style="word-spacing:1px;background-color:rgba(0,0,0,0)!important;border-color:rgb(0,0,0)!important"><span style="font-size:13pt;margin:0px;background-color:rgba(0,0,0,0)!important;border-color:rgb(49,49,49)!important"><b style="font-family:Calibri,Arial,Helvetica,sans-serif">Abstract:</b><b style="background-color:rgba(0,0,0,0)!important;border-color:rgb(49,49,49)!important"><font style="font-family:"trebuchet ms",sans-serif;color:rgb(32,31,30)"> </font></b></span></font><span style="border-color:rgb(0,0,0)"><font size="4">Hypergraphs are straightforward generalizations of graphs for which the Laplacian operator is non-linear and non-differentiable. We show that, even in this general setting, we can efficiently simulate hypergraph heat diffusions and that a Poincare constant analogous to the spectral gap controls their convergence to the stationary heat distribution.</font></span></div><div dir="auto" style="margin:0px"><font style="word-spacing:1px;color:rgb(0,0,0)"><span style="margin:0px;word-spacing:0px"><font size="4" style="color:rgb(0,0,0)"><br></font></span></font></div><div dir="auto" style="margin:0px"><font style="word-spacing:1px;color:rgb(0,0,0)"><span style="margin:0px;word-spacing:0px"><span style="font-family:Calibri,Arial,Helvetica,sans-serif;font-size:large;color:rgb(32,31,30)">[</span><a href="https://urldefense.com/v3/__https://orecchia.net/event/theory-lunch/__;!!BpyFHLRN4TMTrA!pwdRh9yLA-IBD6NCNvREJGd9Nj5jtC6_N-AowF6HSwIQeb1FPAmu0L_tAswwp_F5nRs$" rel="noopener noreferrer" title="https://orecchia.net/event/theory-lunch/" style="font-family:Calibri,Arial,Helvetica,sans-serif;font-size:large;margin:0px" target="_blank"><span style="margin:0px;font-family:Calibri,Arial,Helvetica,sans-serif"><span style="margin:0px;font-family:Calibri,Arial,Helvetica,sans-serif"><span style="margin:0px;font-family:Calibri,Arial,Helvetica,sans-serif"><span style="margin:0px;font-family:Calibri,Arial,Helvetica,sans-serif"><span style="margin:0px;font-family:Calibri,Arial,Helvetica,sans-serif">Theory</span></span></span></span></span> <span style="margin:0px;font-family:Calibri,Arial,Helvetica,sans-serif"><span style="margin:0px;font-family:Calibri,Arial,Helvetica,sans-serif"><span style="margin:0px;font-family:Calibri,Arial,Helvetica,sans-serif"><span style="margin:0px;font-family:Calibri,Arial,Helvetica,sans-serif">Lunch</span></span></span></span> Webpage</a><span style="font-family:Calibri,Arial,Helvetica,sans-serif;font-size:large;color:rgb(32,31,30)">]</span><br style="color:rgb(32,31,30);font-family:Calibri,Arial,Helvetica,sans-serif;font-size:large"><span style="font-family:Calibri,Arial,Helvetica,sans-serif;font-size:large;color:rgb(32,31,30)">[</span><a href="https://urldefense.com/v3/__https://calendar.google.com/calendar/u/0/embed?src=c_osgf1c1qemdras8mu7l7pdhjrs@group.calendar.google.com&ctz=America*Chicago__;Lw!!BpyFHLRN4TMTrA!pwdRh9yLA-IBD6NCNvREJGd9Nj5jtC6_N-AowF6HSwIQeb1FPAmu0L_tAsww4XtIRnQ$" rel="noopener noreferrer" title="https://calendar.google.com/calendar/u/0/embed?src=c_osgf1c1qemdras8mu7l7pdhjrs@group.calendar.google.com&ctz=America/Chicago" style="font-family:Calibri,Arial,Helvetica,sans-serif;font-size:large;margin:0px" target="_blank"><span style="margin:0px;font-family:Calibri,Arial,Helvetica,sans-serif"><span style="margin:0px;font-family:Calibri,Arial,Helvetica,sans-serif"><span style="margin:0px;font-family:Calibri,Arial,Helvetica,sans-serif"><span style="margin:0px;font-family:Calibri,Arial,Helvetica,sans-serif"><span style="margin:0px;font-family:Calibri,Arial,Helvetica,sans-serif"><span style="margin:0px;font-family:Calibri,Arial,Helvetica,sans-serif"><span style="margin:0px;font-family:Calibri,Arial,Helvetica,sans-serif">Theory</span></span></span></span></span></span></span><span style="margin:0px;font-family:Calibri,Arial,Helvetica,sans-serif"> </span><span style="margin:0px;font-family:Calibri,Arial,Helvetica,sans-serif"><span style="margin:0px;font-family:Calibri,Arial,Helvetica,sans-serif"><span style="margin:0px;font-family:Calibri,Arial,Helvetica,sans-serif"><span style="margin:0px;font-family:Calibri,Arial,Helvetica,sans-serif"><span style="margin:0px;font-family:Calibri,Arial,Helvetica,sans-serif">Lunch</span></span></span></span></span><span style="margin:0px;font-family:Calibri,Arial,Helvetica,sans-serif"> </span>Calendar</a><span style="font-family:Calibri,Arial,Helvetica,sans-serif;font-size:large;color:rgb(32,31,30)">]</span></span></font></div><div dir="auto" style="margin:0px"><font style="word-spacing:1px;color:rgb(0,0,0)"><span style="margin:0px;word-spacing:0px"><span style="font-family:Calibri,Arial,Helvetica,sans-serif;font-size:large;color:rgb(32,31,30)"><br></span></span></font></div><div dir="auto" style="margin:0px"><font style="word-spacing:1px;color:rgb(0,0,0)"><span style="margin:0px;word-spacing:0px"><span style="font-size:large">******************************</span><span style="font-size:large">******************************</span><span style="font-size:large">**************************</span></span></font></div></div></div></div></div></div></div></div>
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