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<p style="font-size: 15px; margin: 0px; color: black; background-color: white;"><span style="margin:0px;font-size:12pt">Dear all,</span></p>
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<p style="font-size: 15px; margin: 0px; color: black; background-color: white;"><span style="margin:0px;font-size:12pt">We would like to cordialy invite you to this week's mathematics seminar at Koç University. Everyone is welcome to attend. Please write
an email to me at</span><span style="margin:0px;font-size:12pt"> </span><a href="mailto:ajamneshan@ku.edu.tr" target="_blank" rel="noopener noreferrer" data-auth="NotApplicable" data-linkindex="0" style="margin:0px;font-size:14.67px;font-family:Calibri, sans-serif;text-align:justify"><span style="margin:0px;font-size:12pt;font-family:Arial, Helvetica, sans-serif">ajamneshan@ku.edu.tr</span></a><span style="margin:0px;font-size:12pt"> to
receive the zoom link. </span></p>
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<p style="font-size: 15px; margin: 0px; color: black; background-color: white;"><span style="margin:0px;font-size:12pt">Best regards,</span></p>
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<p style="font-size: 15px; margin: 0px; color: black; background-color: white;"><span style="margin:0px;font-size:12pt">Asgar Jamneshan</span></p>
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<b><span lang="EN-US" style="margin: 0px; color: rgb(0, 32, 96);">KOÇ UNIVERSITY MATH SEMINAR</span></b></p>
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<b><span lang="EN-US" style="margin: 0px; color: rgb(0, 32, 96);">****************************</span></b></p>
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<b><span lang="EN-US" style="margin: 0px; font-size: 12pt; color: rgb(0, 32, 96);">Speaker :</span></b><span lang="EN-US" style="margin: 0px; font-size: 12pt; color: rgb(0, 32, 96);"><span> </span></span><span style="margin: 0px; font-size: 12pt; color: rgb(0, 32, 96);">Özlem
Ejder, Boğaziçi University</span><span lang="EN-US" style="margin:0px;font-size:12pt"></span></p>
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<b><span lang="EN-US" style="margin: 0px; font-size: 12pt; color: rgb(0, 32, 96);">Title </span></b><b><span lang="EN-US" style="margin:0px;font-size:12pt"><span> </span><span style="margin: 0px; color: rgb(0, 32, 96);">:</span></span></b><span lang="EN-US" style="margin: 0px; font-size: 12pt; color: rgb(0, 32, 96);"><span> </span></span><span style="margin: 0px; font-size: 12pt; color: rgb(0, 32, 96);">Isolated
Points on Modular Curves</span><span style="margin:0px;font-size:12pt"></span></p>
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<b><span lang="EN-US" style="margin: 0px; font-size: 12pt; color: rgb(0, 32, 96);">Date :</span></b><span lang="EN-US" style="margin: 0px; font-size: 12pt; color: rgb(0, 32, 96);"><span> </span></span><span style="margin: 0px; font-size: 12pt; color: rgb(0, 32, 96);">Tuesday,
December 7, 2021</span><span lang="EN-US" style="margin: 0px; font-size: 12pt; color: rgb(0, 32, 96);"></span></p>
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<b><span lang="EN-US" style="margin: 0px; font-size: 12pt; color: rgb(0, 32, 96);">Time </span></b><b><span lang="EN-US" style="margin: 0px; color: rgb(0, 32, 96);"> </span></b><b><span lang="EN-US" style="margin: 0px; font-size: 12pt; color: rgb(0, 32, 96);">:</span></b><span lang="EN-US" style="margin: 0px; font-size: 12pt; color: rgb(0, 32, 96);"><span> </span></span><span style="margin: 0px; font-size: 12pt; color: rgb(0, 32, 96);">16:00-17:10</span><span lang="EN-US" style="margin: 0px; font-size: 12pt; color: rgb(0, 32, 96);"></span></p>
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<b><span lang="EN-US" style="margin: 0px; font-size: 12pt; color: rgb(0, 32, 96);">Place </span></b><b><span lang="EN-US" style="margin:0px;font-size:12pt"> <span style="margin: 0px; color: rgb(0, 32, 96);"> :<span> </span></span></span></b><span lang="EN-US" style="margin: 0px; font-size: 12pt; color: rgb(0, 32, 96);">SCI
103</span><span lang="EN-US" style="margin:0px;font-size:12pt"></span></p>
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<b><span lang="EN-US" style="margin: 0px; font-size: 12pt; color: rgb(0, 32, 96);">Please notice that this seminar will be at a different time (16.00-17:10)</span></b></p>
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<b><span lang="EN-US" style="margin:0px;font-size:12pt"> </span></b></p>
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<b><span lang="EN-US" style="margin: 0px; font-size: 12pt; color: rgb(0, 32, 96);">Abstract: <span> </span></span></b><span lang="EN-US" style="margin: 0px; font-size: 12pt; color: rgb(0, 32, 96);"> </span></p>
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<span style="margin: 0px; font-size: 12pt; color: rgb(0, 32, 96);">One of the oldest areas of mathematics is the study of integer or rational solutions to polynomial equations with integer coefficients and it remains active till today. The most natural question
we can ask about such an equation is whether its set of rational solutions is finite or infinite. This can be determined by the genus of the curve defined by such equations. In particular, if the genus is greater than one, there are finitely many rational
points on a curve.</span></p>
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<span style="margin: 0px; font-size: 12pt; color: rgb(0, 32, 96);"> </span></p>
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<span style="margin: 0px; font-size: 12pt; color: rgb(0, 32, 96);">What happens when one allows for solutions involving square-roots of integers or cubic roots? Perhaps in general all complex numbers that are roots of a degree d polynomial? We call such solutions
of degree 2,3 or d in general. In this talk, we will discuss when a curve has infinitely many degree d points focusing particularly on points on modular curves.</span></p>
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<b><span lang="EN-US" style="margin:0px"> </span></b></p>
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<b><span lang="EN-US" style="margin: 0px; font-size: 12pt; color: rgb(0, 32, 96);">Info:<span> </span></span></b><span style="margin: 0px; font-size: 12pt; color: rgb(0, 32, 96);">If you would like to attend the seminar online, please send an email to Asgar
Jamneshan at<span> </span></span><a href="mailto:ajamneshan@ku.edu.tr" target="_blank" rel="noopener noreferrer" data-auth="NotApplicable" data-linkindex="0" style="margin: 0px; color: rgb(5, 99, 193); text-decoration: underline;"><span style="margin:0px;font-size:12pt">ajamneshan@ku.edu.tr</span></a><span style="margin: 0px; font-size: 12pt; color: rgb(0, 32, 96);"><span> </span>for
the Zoom link.</span></p>
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<span style="margin:0px;font-size:12pt"> </span></p>
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<span style="margin: 0px; font-size: 12pt; color: rgb(0, 32, 96);">The Mathematics Seminar schedule can be found at<span> </span></span><a href="https://mysite.ku.edu.tr/math-sci/" target="_blank" rel="noopener noreferrer" data-auth="NotApplicable" data-linkindex="1" style="margin: 0px; color: rgb(5, 99, 193); text-decoration: underline;"><span style="margin:0px;font-size:12pt">https://mysite.ku.edu.tr/math-sci/</span></a><span style="margin:0px;font-size:12pt"><span> </span>.</span></p>
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