<html><head><meta http-equiv="content-type" content="text/html; charset=utf-8"></head><body dir="auto"><div dir="ltr"></div><div dir="ltr">This math colloquium may be of interest to some on the theory list. <br><br><br>Begin forwarded message:<br><br></div><blockquote type="cite"><div dir="ltr"><b>From:</b> Mat <matwimberly@uchicago.edu><br><b>Date:</b> October 10, 2022 at 8:00:22 AM CDT<br><b>To:</b> all_math@lists.uchicago.edu<br><b>Subject:</b> <b>Math Colloquium: Ron Peled (Tel Aviv University)</b><br><b>Reply-To:</b> Mat <matwimberly@uchicago.edu><br><br></div></blockquote><blockquote type="cite"><div dir="ltr">
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<p style="margin: 0; margin-bottom: 16px;">Professor</p>
<p style="margin: 0; margin-bottom: 16px;">School of Mathematical Sciences</p>
<p style="margin: 0;">Tel Aviv University</p>
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<p style="margin: 0; mso-line-height-alt: 21px;"><span style="font-size:14px;">Let T be a subset of R^d, such as a ball, a cube or a cylinder, and consider all possibilities for packing translates of T, perhaps with its rotations, in some bounded domain in R^d. What does a typical packing of this sort look like? One mathematical formalization of this question is to fix the density of the packing and sample uniformly among all possible packings with this density. Discrete versions of the question may be formulated on lattice graphs.</span><br><br><span style="font-size:14px;">The question arises naturally in the sciences, where T may be thought of as a molecule and its packing is related to the spatial arrangement of molecules of a material under given conditions. In some cases, the material forms a liquid crystal - states of matter which are, in a sense, between liquids and crystals. I will review ideas from this topic, mentioning some of the predictions and the mathematical progress. Time permitting, I will elaborate on a recent result, joint with Daniel Hadas, on the structure of high-density packings of 2x2 squares with centers on the square lattice.</span></p>
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<td class="pad" style="padding-bottom:10px;width:100%;padding-right:0px;padding-left:0px;padding-top:5px;">
<div class="alignment" align="center" style="line-height:10px"><img src="https://d15k2d11r6t6rl.cloudfront.net/public/users/Integrators/BeeProAgency/861155_845253/calendargray.png" style="display: block; height: auto; border: 0; width: 45px; max-width: 100%;" width="45" alt="Date:" title="Date:" data-unique-identifier=""></div>
</td>
</tr>
</tbody></table>
<table class="image_block block-3" width="100%" border="0" cellpadding="0" cellspacing="0" role="presentation" style="mso-table-lspace: 0pt; mso-table-rspace: 0pt;">
<tbody><tr>
<td class="pad" style="padding-bottom:10px;width:100%;padding-right:0px;padding-left:0px;">
<div class="alignment" align="center" style="line-height:10px"><img src="https://d15k2d11r6t6rl.cloudfront.net/public/users/Integrators/BeeProAgency/861155_845253/cloclgray.png" style="display: block; height: auto; border: 0; width: 45px; max-width: 100%;" width="45" alt="Time:" title="Time:" data-unique-identifier=""></div>
</td>
</tr>
</tbody></table>
<table class="image_block block-4" width="100%" border="0" cellpadding="0" cellspacing="0" role="presentation" style="mso-table-lspace: 0pt; mso-table-rspace: 0pt;">
<tbody><tr>
<td class="pad" style="padding-bottom:15px;width:100%;padding-right:0px;padding-left:0px;">
<div class="alignment" align="center" style="line-height:10px"><img src="https://d15k2d11r6t6rl.cloudfront.net/public/users/Integrators/BeeProAgency/861155_845253/locationgray.png" style="display: block; height: auto; border: 0; width: 45px; max-width: 100%;" width="45" alt="Location:" title="Location:" data-unique-identifier=""></div>
</td>
</tr>
</tbody></table>
</td>
<td class="column column-2" width="33.333333333333336%" style="mso-table-lspace: 0pt; mso-table-rspace: 0pt; font-weight: 400; text-align: left; vertical-align: top; border-top: 0px; border-right: 0px; border-bottom: 0px; border-left: 0px;">
<table class="paragraph_block block-3" width="100%" border="0" cellpadding="0" cellspacing="0" role="presentation" style="mso-table-lspace: 0pt; mso-table-rspace: 0pt; word-break: break-word;">
<tbody><tr>
<td class="pad" style="padding-top:15px;">
<div style="color:#101112;direction:ltr;font-family:Poppins, Arial, Helvetica, sans-serif;font-size:16px;font-weight:400;letter-spacing:0px;line-height:120%;text-align:left;mso-line-height-alt:19.2px;">
<p style="margin: 0;">October 12th, 2022</p>
</div>
</td>
</tr>
</tbody></table>
<table class="paragraph_block block-5" width="100%" border="0" cellpadding="0" cellspacing="0" role="presentation" style="mso-table-lspace: 0pt; mso-table-rspace: 0pt; word-break: break-word;">
<tbody><tr>
<td class="pad" style="padding-top:40px;">
<div style="color:#101112;direction:ltr;font-family:Poppins, Arial, Helvetica, sans-serif;font-size:16px;font-weight:400;letter-spacing:0px;line-height:120%;text-align:left;mso-line-height-alt:19.2px;">
<p style="margin: 0;">3:00-4:00PM Central</p>
</div>
</td>
</tr>
</tbody></table>
<table class="paragraph_block block-7" width="100%" border="0" cellpadding="0" cellspacing="0" role="presentation" style="mso-table-lspace: 0pt; mso-table-rspace: 0pt; word-break: break-word;">
<tbody><tr>
<td class="pad" style="padding-top:35px;padding-bottom:5px;">
<div style="color:#101112;direction:ltr;font-family:Poppins, Arial, Helvetica, sans-serif;font-size:16px;font-weight:400;letter-spacing:0px;line-height:120%;text-align:left;mso-line-height-alt:19.2px;">
<p style="margin: 0;">Eckhart Hall, Room 206</p>
</div>
</td>
</tr>
</tbody></table>
</td>
<td class="column column-3" width="50%" style="mso-table-lspace: 0pt; mso-table-rspace: 0pt; font-weight: 400; text-align: left; vertical-align: top; border-top: 0px; border-right: 0px; border-bottom: 0px; border-left: 0px;">
<table class="heading_block block-2" width="100%" border="0" cellpadding="0" cellspacing="0" role="presentation" style="mso-table-lspace: 0pt; mso-table-rspace: 0pt;">
<tbody><tr>
<td class="pad" style="padding-bottom:5px;text-align:center;width:100%;padding-top:5px;">
<h3 style="margin: 0; color: #da9a1a; direction: ltr; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: 29px; font-weight: 700; letter-spacing: normal; line-height: 120%; text-align: center; margin-top: 0; margin-bottom: 0;"><span class="tinyMce-placeholder">Zoom Information</span></h3>
</td>
</tr>
</tbody></table>
<table class="text_block block-3" width="100%" border="0" cellpadding="0" cellspacing="0" role="presentation" style="mso-table-lspace: 0pt; mso-table-rspace: 0pt; word-break: break-word;">
<tbody><tr>
<td class="pad" style="padding-bottom:5px;">
<div style="font-family: Arial, sans-serif">
<div class="" style="font-size: 12px; font-family: Arial, 'Helvetica Neue', Helvetica, sans-serif; mso-line-height-alt: 18px; color: #000000; line-height: 1.5;">
<p style="margin: 0; text-align: center; mso-line-height-alt: 18px;"><strong>Join Zoom Meeting</strong></p>
<p style="margin: 0; text-align: center; mso-line-height-alt: 18px;">https://uchicago.zoom.us/j/93294886315?pwd=am1GclhqZWwyUGIzamNEeXllSmRGZz09</p>
<p style="margin: 0; text-align: center; mso-line-height-alt: 18px;"> </p>
<p style="margin: 0; text-align: center; mso-line-height-alt: 18px;"><strong>Meeting ID: </strong>932 9488 6315</p>
<p style="margin: 0; text-align: center; mso-line-height-alt: 18px;"><strong>Passcode:</strong> 025202</p>
</div>
</div>
</td>
</tr>
</tbody></table>
</td>
</tr>
</tbody>
</table>
</td>
</tr>
</tbody>
</table>
<table class="row row-5 desktop_hide" align="center" width="100%" border="0" cellpadding="0" cellspacing="0" role="presentation" style="mso-table-lspace: 0pt; mso-table-rspace: 0pt; mso-hide: all; display: none; max-height: 0; overflow: hidden;">
<tbody>
<tr>
<td>
<table class="row-content stack" align="center" border="0" cellpadding="0" cellspacing="0" role="presentation" style="mso-table-lspace: 0pt; mso-table-rspace: 0pt; mso-hide: all; display: none; max-height: 0; overflow: hidden; background-color: #ffffff; border-radius: 0; color: #000000; width: 680px;" width="680">
<tbody>
<tr>
<td class="column column-1" width="50%" style="mso-table-lspace: 0pt; mso-table-rspace: 0pt; font-weight: 400; text-align: left; vertical-align: top; border-top: 0px; border-right: 0px; border-bottom: 0px; border-left: 0px;">
<table class="paragraph_block block-3" width="100%" border="0" cellpadding="0" cellspacing="0" role="presentation" style="mso-table-lspace: 0pt; mso-table-rspace: 0pt; word-break: break-word; mso-hide: all; display: none; max-height: 0; overflow: hidden;">
<tbody><tr>
<td class="pad" style="padding-left:50px;padding-top:15px;">
<div style="color:#101112;direction:ltr;font-family:Poppins, Arial, Helvetica, sans-serif;font-size:16px;font-weight:400;letter-spacing:0px;line-height:120%;text-align:left;mso-line-height-alt:19.2px;">
<p style="margin: 0;">Date: October 12th, 2022</p>
</div>
</td>
</tr>
</tbody></table>
<table class="paragraph_block block-5" width="100%" border="0" cellpadding="0" cellspacing="0" role="presentation" style="mso-table-lspace: 0pt; mso-table-rspace: 0pt; word-break: break-word; mso-hide: all; display: none; max-height: 0; overflow: hidden;">
<tbody><tr>
<td class="pad" style="padding-left:50px;padding-top:40px;">
<div style="color:#101112;direction:ltr;font-family:Poppins, Arial, Helvetica, sans-serif;font-size:16px;font-weight:400;letter-spacing:0px;line-height:120%;text-align:left;mso-line-height-alt:19.2px;">
<p style="margin: 0;">Time: 3:00-4:00PM Central</p>
</div>
</td>
</tr>
</tbody></table>
<table class="paragraph_block block-7" width="100%" border="0" cellpadding="0" cellspacing="0" role="presentation" style="mso-table-lspace: 0pt; mso-table-rspace: 0pt; word-break: break-word; mso-hide: all; display: none; max-height: 0; overflow: hidden;">
<tbody><tr>
<td class="pad" style="padding-left:50px;padding-top:35px;padding-bottom:5px;">
<div style="color:#101112;direction:ltr;font-family:Poppins, Arial, Helvetica, sans-serif;font-size:16px;font-weight:400;letter-spacing:0px;line-height:120%;text-align:left;mso-line-height-alt:19.2px;">
<p style="margin: 0;">Location: Eckhart Hall, Room 206</p>
</div>
</td>
</tr>
</tbody></table>
</td>
<td class="column column-2" width="50%" style="mso-table-lspace: 0pt; mso-table-rspace: 0pt; font-weight: 400; text-align: left; vertical-align: top; border-top: 0px; border-right: 0px; border-bottom: 0px; border-left: 0px;">
<table class="heading_block block-2" width="100%" border="0" cellpadding="0" cellspacing="0" role="presentation" style="mso-table-lspace: 0pt; mso-table-rspace: 0pt; mso-hide: all; display: none; max-height: 0; overflow: hidden;">
<tbody><tr>
<td class="pad" style="padding-bottom:5px;text-align:center;width:100%;padding-top:5px;">
<h3 style="margin: 0; color: #da9a1a; direction: ltr; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: 29px; font-weight: 700; letter-spacing: normal; line-height: 120%; text-align: center; margin-top: 0; margin-bottom: 0;"><span class="tinyMce-placeholder">Zoom Information</span></h3>
</td>
</tr>
</tbody></table>
<table class="text_block block-3" width="100%" border="0" cellpadding="0" cellspacing="0" role="presentation" style="mso-table-lspace: 0pt; mso-table-rspace: 0pt; word-break: break-word; mso-hide: all; display: none; max-height: 0; overflow: hidden;">
<tbody><tr>
<td class="pad" style="padding-bottom:5px;">
<div style="font-family: Arial, sans-serif">
<div class="" style="font-size: 12px; font-family: Arial, 'Helvetica Neue', Helvetica, sans-serif; mso-line-height-alt: 18px; color: #000000; line-height: 1.5;">
<p style="margin: 0; text-align: center; mso-line-height-alt: 18px;"><strong>Join Zoom Meeting</strong></p>
<p style="margin: 0; text-align: center; mso-line-height-alt: 18px;">https://uchicago.zoom.us/j/93294886315?pwd=am1GclhqZWwyUGIzamNEeXllSmRGZz09</p>
<p style="margin: 0; text-align: center; mso-line-height-alt: 18px;"> </p>
<p style="margin: 0; text-align: center; mso-line-height-alt: 18px;"><strong>Meeting ID: </strong>932 9488 6315</p>
<p style="margin: 0; text-align: center; mso-line-height-alt: 18px;"><strong>Passcode:</strong> 025202</p>
</div>
</div>
</td>
</tr>
</tbody></table>
</td>
</tr>
</tbody>
</table>
</td>
</tr>
</tbody>
</table>
<table class="row row-6" align="center" width="100%" border="0" cellpadding="0" cellspacing="0" role="presentation" style="mso-table-lspace: 0pt; mso-table-rspace: 0pt;">
<tbody>
<tr>
<td>
<table class="row-content stack" align="center" border="0" cellpadding="0" cellspacing="0" role="presentation" style="mso-table-lspace: 0pt; mso-table-rspace: 0pt; background-color: #ffffff; border-radius: 0; color: #000000; width: 680px;" width="680">
<tbody>
<tr>
<td class="column column-1" width="25%" style="mso-table-lspace: 0pt; mso-table-rspace: 0pt; font-weight: 400; text-align: left; background-color: #ffffff; vertical-align: top; border-top: 0px; border-right: 0px; border-bottom: 0px; border-left: 0px;">
<table class="button_block block-2" width="100%" border="0" cellpadding="0" cellspacing="0" role="presentation" style="mso-table-lspace: 0pt; mso-table-rspace: 0pt;">
<tbody><tr>
<td class="pad" style="text-align:left;padding-top:5px;padding-bottom:5px;">
<div class="alignment" align="left">
<!--[if mso]><v:roundrect xmlns:v="urn:schemas-microsoft-com:vml" xmlns:w="urn:schemas-microsoft-com:office:word" href="https://calendar.google.com/calendar/render?action=TEMPLATE&dates=20221012T200000Z%2F20221012T213000Z&details=Join%20Zoom%20Meeting%0A%0Ahttps%3A%2F%2Fuchicago.zoom.us%2Fj%2F93294886315%3Fpwd%3Dam1GclhqZWwyUGIzamNEeXllSmRGZz09%0A%0A%0A%0A%0AMeeting%20ID%3A%20932%209488%206315%0A%0APasscode%3A%20025202&location=Eckhart%20206&text=Colloquium%3A%20Ron%20Peled%20%28Tel%20Aviv%20University%29" style="height:36px;width:150px;v-text-anchor:middle;" arcsize="0%" strokeweight="1.5pt" strokecolor="#000000" fillcolor="#ffffff"><w:anchorlock/><v:textbox inset="0px,0px,0px,0px"><center style="color:#8b0021; font-family:Arial, sans-serif; font-size:16px"><![endif]--><a href="https://uchicago.us2.list-manage.com/track/click?u=350fc31a7f826e3b52544f33a&id=19e8902683&e=824713db02" target="_blank" style="text-decoration:none;display:inline-block;color:#8b0021;background-color:#ffffff;border-radius:0px;width:auto;border-top:2px solid #000000;font-weight:400;border-right:2px solid #000000;border-bottom:2px solid #000000;border-left:2px solid #000000;padding-top:0px;padding-bottom:0px;font-family:Poppins, Arial, Helvetica, sans-serif;text-align:center;mso-border-alt:none;word-break:keep-all;"><span style="padding-left:20px;padding-right:20px;font-size:16px;display:inline-block;letter-spacing:normal;"><span dir="ltr" style="word-break: break-word; line-height: 32px;">Add to Google</span></span></a>
<!--[if mso]></center></v:textbox></v:roundrect><![endif]-->
</div>
</td>
</tr>
</tbody></table>
</td>
<td class="column column-2" width="25%" style="mso-table-lspace: 0pt; mso-table-rspace: 0pt; font-weight: 400; text-align: left; vertical-align: top; border-top: 0px; border-right: 0px; border-bottom: 0px; border-left: 0px;">
<table class="button_block block-2" width="100%" border="0" cellpadding="0" cellspacing="0" role="presentation" style="mso-table-lspace: 0pt; mso-table-rspace: 0pt;">
<tbody><tr>
<td class="pad" style="text-align:left;padding-top:5px;padding-bottom:5px;">
<div class="alignment" align="left">
<!--[if mso]><v:roundrect xmlns:v="urn:schemas-microsoft-com:vml" xmlns:w="urn:schemas-microsoft-com:office:word" href="https://outlook.office.com/calendar/0/deeplink/compose?allday=false&body=Join%20Zoom%20Meeting%0A%0Ahttps%3A%2F%2Fuchicago.zoom.us%2Fj%2F93294886315%3Fpwd%3Dam1GclhqZWwyUGIzamNEeXllSmRGZz09%0A%0A%0A%0A%0AMeeting%20ID%3A%20932%209488%206315%0A%0APasscode%3A%20025202&enddt=2022-10-12T21%3A30%3A00%2B00%3A00&location=Eckhart%20206&path=%2Fcalendar%2Faction%2Fcompose&rru=addevent&startdt=2022-10-12T20%3A00%3A00%2B00%3A00&subject=Colloquium%3A%20Ron%20Peled%20%28Tel%20Aviv%20University%29" style="height:36px;width:153px;v-text-anchor:middle;" arcsize="0%" strokeweight="1.5pt" strokecolor="#000000" fillcolor="#ffffff"><w:anchorlock/><v:textbox inset="0px,0px,0px,0px"><center style="color:#8b0021; font-family:Arial, sans-serif; font-size:16px"><![endif]--><a href="https://uchicago.us2.list-manage.com/track/click?u=350fc31a7f826e3b52544f33a&id=66ebbda083&e=824713db02" target="_blank" style="text-decoration:none;display:inline-block;color:#8b0021;background-color:#ffffff;border-radius:0px;width:auto;border-top:2px solid #000000;font-weight:400;border-right:2px solid #000000;border-bottom:2px solid #000000;border-left:2px solid #000000;padding-top:0px;padding-bottom:0px;font-family:Poppins, Arial, Helvetica, sans-serif;text-align:center;mso-border-alt:none;word-break:keep-all;"><span style="padding-left:20px;padding-right:20px;font-size:16px;display:inline-block;letter-spacing:normal;"><span dir="ltr" style="word-break: break-word; line-height: 32px;">Add to Outlook</span></span></a>
<!--[if mso]></center></v:textbox></v:roundrect><![endif]-->
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</td>
</tr>
</tbody></table>
</td>
<td class="column column-3" width="50%" style="mso-table-lspace: 0pt; mso-table-rspace: 0pt; font-weight: 400; text-align: left; vertical-align: top; border-top: 0px; border-right: 0px; border-bottom: 0px; border-left: 0px;">
<table class="button_block block-2" width="100%" border="0" cellpadding="0" cellspacing="0" role="presentation" style="mso-table-lspace: 0pt; mso-table-rspace: 0pt;">
<tbody><tr>
<td class="pad" style="text-align:center;padding-top:5px;padding-bottom:5px;">
<div class="alignment" align="center">
<!--[if mso]><v:roundrect xmlns:v="urn:schemas-microsoft-com:vml" xmlns:w="urn:schemas-microsoft-com:office:word" href="https://uchicago.zoom.us/j/93294886315?pwd=am1GclhqZWwyUGIzamNEeXllSmRGZz09" style="height:36px;width:148px;v-text-anchor:middle;" arcsize="0%" strokeweight="1.5pt" strokecolor="#000000" fillcolor="#ffffff"><w:anchorlock/><v:textbox inset="0px,0px,0px,0px"><center style="color:#da9a1a; font-family:Arial, sans-serif; font-size:16px"><![endif]--><a href="https://uchicago.us2.list-manage.com/track/click?u=350fc31a7f826e3b52544f33a&id=a2b7dd292c&e=824713db02" target="_blank" style="text-decoration:none;display:inline-block;color:#da9a1a;background-color:#ffffff;border-radius:0px;width:auto;border-top:2px solid #000000;font-weight:400;border-right:2px solid #000000;border-bottom:2px solid #000000;border-left:2px solid #000000;padding-top:0px;padding-bottom:0px;font-family:Poppins, Arial, Helvetica, sans-serif;text-align:center;mso-border-alt:none;word-break:keep-all;"><span style="padding-left:30px;padding-right:30px;font-size:16px;display:inline-block;letter-spacing:normal;"><span dir="ltr" style="word-break: break-word; line-height: 32px;"><strong>Join Zoom</strong></span></span></a>
<!--[if mso]></center></v:textbox></v:roundrect><![endif]-->
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</tbody></table>
</td>
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</tbody>
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<table class="row row-7" align="center" width="100%" border="0" cellpadding="0" cellspacing="0" role="presentation" style="mso-table-lspace: 0pt; mso-table-rspace: 0pt;">
<tbody>
<tr>
<td>
<table class="row-content stack" align="center" border="0" cellpadding="0" cellspacing="0" role="presentation" style="mso-table-lspace: 0pt; mso-table-rspace: 0pt; background-color: #ffffff; border-radius: 0; color: #000000; width: 680px;" width="680">
<tbody>
<tr>
<td class="column column-1" width="100%" style="mso-table-lspace: 0pt; mso-table-rspace: 0pt; font-weight: 400; text-align: left; background-color: #ffffff; vertical-align: top; padding-top: 5px; padding-bottom: 5px; border-top: 0px; border-right: 0px; border-bottom: 0px; border-left: 0px;">
<div class="spacer_block" style="height:20px;line-height:20px;font-size:1px;"> </div>
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</p><div class="vcard"><span class="org fn">Math Department</span><div class="adr"><div class="street-address">5734 S University Ave Ste 108</div><span class="locality">Chicago</span>, <span class="region">IL</span> <span class="postal-code">60637-1501</span></div><br><a href="https://uchicago.us2.list-manage.com/vcard?u=350fc31a7f826e3b52544f33a&id=79c92b99c0" class="hcard-download">Add us to your address book</a></div>
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