<html>
<head>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8">
</head>
<body style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;" class="">
<div style="margin: 0in; font-size: 11pt; font-family: Aptos, sans-serif;" class="">
<span style="font-family: Arial, sans-serif; color: rgb(33, 33, 33);" class="">This is an announcement of Tushant Mittal<span class="outlook-search-highlight">’s Candidacy</span><span class="apple-converted-space"> </span><span class="outlook-search-highlight">Exam</span>.
=================================================<br class="">
<br class="">
Candidate: Tushant Mittal<br class="">
<br class="">
Date: May 3, 2024.<br class="">
<br class="">
Time: 3 PM.<br class="">
<br class="">
Location: TTIC 529, Fifth Floor<br class="">
<br class="">
Remote location:<span class="apple-converted-space"> </span></span><span style="font-family: Arial, sans-serif;" class=""><a href="https://urldefense.com/v3/__https:/uchicago.zoom.us/j/99961926847?pwd=V1lTY1lQTk9xV2QyTDROS1F2V1VPZz09__;!!BpyFHLRN4TMTrA!7MsNkC6oS1tvwx24WRwpmiKA3lr72GwJITf1Y60lcjdw5ZDQnENi6HFqzcbJ_v7NPZHU6Irht5J8jZHxCsWNEic$" target="_blank" title="https://urldefense.com/v3/__https://uchicago.zoom.us/j/99961926847?pwd=V1lTY1lQTk9xV2QyTDROS1F2V1VPZz09__;!!BpyFHLRN4TMTrA!7MsNkC6oS1tvwx24WRwpmiKA3lr72GwJITf1Y60lcjdw5ZDQnENi6HFqzcbJ_v7NPZHU6Irht5J8jZHxCsWNEic$" style="color: rgb(70, 120, 134);" class=""><span style="color: rgb(0, 120, 215);" class="">https://uchicago.zoom.us/j/99961926847?pwd=V1lTY1lQTk9xV2QyTDROS1F2V1VPZz09</span></a><span class="apple-converted-space"><span style="color: rgb(33, 33, 33);" class=""> <o:p class=""></o:p></span></span></span></div>
<div style="margin: 0in; font-size: 11pt; font-family: Aptos, sans-serif;" class="">
<span class="apple-converted-space"><span style="font-family: Arial, sans-serif; color: rgb(33, 33, 33);" class=""> </span></span></div>
<div style="margin: 0in; font-size: 11pt; font-family: Aptos, sans-serif;" class="">
<span style="font-family: Arial, sans-serif; color: rgb(33, 33, 33);" class="">Meeting ID: 999 6192 6847 Passcode: 146080<br class="">
<br class="">
<br class="">
Title: Expanders with Abelian symmetries and Quantum LDPC Codes<span class="apple-converted-space"> </span><br class="">
<br class="">
Abstract: <span class="apple-converted-space"> </span><br class="">
One method to construct expander graphs with abelian symmetries is via the technique of graph lifts introduced by Bilu and Linial. For an abelian group G acting on the set [</span><span style="font-family: "Cambria Math", serif; color: rgb(33, 33, 33);" class="">𝓁</span><span style="font-family: Arial, sans-serif; color: rgb(33, 33, 33);" class="">],
an (G,</span><span style="font-family: "Cambria Math", serif; color: rgb(33, 33, 33);" class="">𝓁</span><span style="font-family: Arial, sans-serif; color: rgb(33, 33, 33);" class="">)-lift of a graph X is a graph obtained by replacing each vertex by </span><span style="font-family: "Cambria Math", serif; color: rgb(33, 33, 33);" class="">𝓁</span><span style="font-family: Arial, sans-serif; color: rgb(33, 33, 33);" class=""> copies,
and each edge by a matching corresponding to the action of an element of G.<span class="apple-converted-space"> </span><br class="">
<br class="">
In this talk, we will see how to analyze the expansion of lifted graphs and give explicit constructions of expanders via this approach. As a corollary, we obtain explicit quantum lifted product codes with almost linear distance and explicit classical quasi-cyclic
LDPC codes with a wide range of circulant sizes.<span class="apple-converted-space"> </span><br class="">
<br class="">
This is based on joint work with Fernando Granha Jeronimo, Ryan O'Donnell, Pedro Paredes, and Madhur Tulsiani.<br class="">
<br class="">
Advisors: Janos Simon, Madhur Tulsiani<br class="">
<br class="">
</span></div>
<div style="margin: 0in; font-size: 11pt; font-family: Aptos, sans-serif;" class="">
<span style="font-family: Arial, sans-serif; color: rgb(33, 33, 33);" class="">Committee: Janos Simon, Madhur Tulsiani, Ryan O'Donnell, and Bill Fefferman.</span></div>
<div class="">
<div dir="auto" style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;" class="">
<div dir="auto" style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;" class="">
<div dir="auto" style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;" class="">
<div dir="auto" style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;" class="">
<div dir="auto" style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;" class="">
<div dir="auto" style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;" class="">
<br class="Apple-interchange-newline">
</div>
<br class="Apple-interchange-newline">
</div>
<br class="Apple-interchange-newline">
</div>
<br class="Apple-interchange-newline">
</div>
<br class="Apple-interchange-newline">
</div>
<br class="Apple-interchange-newline">
</div>
<br class="Apple-interchange-newline">
<br class="Apple-interchange-newline">
</div>
<br class="">
</body>
</html>