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<span style="font-family: Arial, Helvetica, sans-serif; font-size: 12pt;">Dear all,</span></p>
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<span style="font-family: Arial, Helvetica, sans-serif; font-size: 12pt;">We would like to warmly invite you to this week's mathematics seminar at Koç University. Everyone is welcome to attend. Please write an email at</span><span style="font-family: Arial, Helvetica, sans-serif; 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:14.6667px;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="font-family: Arial, Helvetica, sans-serif; font-size: 12pt;"> to
receive the zoom link. </span></p>
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<span style="font-family: Arial, Helvetica, sans-serif; font-size: 12pt;">Best regards,</span></p>
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<span style="font-family: Arial, Helvetica, sans-serif; font-size: 12pt;">Asgar Jamneshan</span></p>
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<b><span lang="EN-US" style="font-family: Arial, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 32, 96);">KOÇ UNIVERSITY MATH SEMINAR</span><span lang="EN-US" style="color: rgb(0, 32, 96);"><o:p><span style="font-family: Arial, Helvetica, sans-serif; font-size: 12pt;"> </span></o:p></span></b></p>
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<b><span lang="EN-US" style="font-family: Arial, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 32, 96);">****************************</span><span lang="EN-US" style="color: rgb(0, 32, 96);"><o:p><span style="font-family: Arial, Helvetica, sans-serif; font-size: 12pt;"> </span></o:p></span></b></p>
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<b><span lang="EN-US" style="font-size: 12pt; font-family: Arial, Helvetica, sans-serif; color: rgb(0, 32, 96);">Speaker :</span></b><span lang="EN-US" style="font-size: 12pt; font-family: Arial, Helvetica, sans-serif; color: rgb(0, 32, 96);">
</span><span style="font-size: 12pt; color: rgb(0, 32, 96); font-family: Arial, Helvetica, sans-serif;">Özge Ülkem, Galatasaray University</span><span lang="EN-US" style="font-size:12.0pt;mso-ansi-language:EN-US"><o:p><span style="font-family: Arial, Helvetica, sans-serif; font-size: 12pt;"> </span></o:p></span></p>
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<b><span lang="EN-US" style="font-size: 12pt; font-family: Arial, Helvetica, sans-serif; color: rgb(0, 32, 96);">Title </span></b><b><span lang="EN-US" style="font-size: 12pt; font-family: Arial, Helvetica, sans-serif;">
</span><span lang="EN-US" style="font-size:12.0pt;mso-ansi-language:EN-US"><span style="color: rgb(0, 32, 96); font-family: Arial, Helvetica, sans-serif; font-size: 12pt;">:</span></span></b><span lang="EN-US" style="font-size: 12pt; font-family: Arial, Helvetica, sans-serif; color: rgb(0, 32, 96);">
</span><span style="font-size: 12pt; color: rgb(0, 32, 96); font-family: Arial, Helvetica, sans-serif;">Generalized D-elliptic sheaves and their moduli space</span><span style="font-size:12.0pt"><o:p><span style="font-family: Arial, Helvetica, sans-serif; font-size: 12pt;"> </span></o:p></span></p>
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<b><span lang="EN-US" style="font-size: 12pt; font-family: Arial, Helvetica, sans-serif; color: rgb(0, 32, 96);">Date :</span></b><span lang="EN-US" style="font-size: 12pt; font-family: Arial, Helvetica, sans-serif; color: rgb(0, 32, 96);">
</span><span style="font-size: 12pt; color: rgb(0, 32, 96); font-family: Arial, Helvetica, sans-serif;">Tuesday, November 30, 2021</span><span lang="EN-US" style="font-size: 12pt; color: rgb(0, 32, 96);"><o:p><span style="font-family: Arial, Helvetica, sans-serif; font-size: 12pt;"> </span></o:p></span></p>
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<b><span lang="EN-US" style="font-size: 12pt; font-family: Arial, Helvetica, sans-serif; color: rgb(0, 32, 96);">Time </span></b><b><span lang="EN-US" style="font-family: Arial, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 32, 96);">
</span></b><b><span lang="EN-US" style="font-size: 12pt; font-family: Arial, Helvetica, sans-serif; color: rgb(0, 32, 96);">:</span></b><span lang="EN-US" style="font-size: 12pt; font-family: Arial, Helvetica, sans-serif; color: rgb(0, 32, 96);"> 14:30-15:40
</span><span lang="EN-US" style="font-size: 12pt; color: rgb(0, 32, 96);"><o:p><span style="font-family: Arial, Helvetica, sans-serif; font-size: 12pt;"> </span></o:p></span></p>
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<b><span lang="EN-US" style="font-size: 12pt; font-family: Arial, Helvetica, sans-serif; color: rgb(0, 32, 96);">Place </span></b><b><span lang="EN-US" style="font-size: 12pt; font-family: Arial, Helvetica, sans-serif;"> </span><span lang="EN-US" style="font-size:12.0pt;mso-ansi-language:EN-US"><span style="color: rgb(0, 32, 96); font-family: Arial, Helvetica, sans-serif; font-size: 12pt;"> :
</span></span></b><span lang="EN-US" style="font-size: 12pt; font-family: Arial, Helvetica, sans-serif; color: rgb(0, 32, 96);">Hybrid (SCI 103, Zoom)</span></p>
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<b><span lang="EN-US" style="font-size: 12pt; font-family: Arial, Helvetica, sans-serif; color: rgb(0, 32, 96);">Abstract:
</span></b><span lang="EN-US" style="font-size: 12pt; font-family: Arial, Helvetica, sans-serif; color: rgb(0, 32, 96);"> </span><span lang="EN-US" style="font-size: 12pt; color: rgb(0, 32, 96);"><o:p><span style="font-family: Arial, Helvetica, sans-serif; font-size: 12pt;"> </span></o:p></span></p>
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<span style="font-size: 12pt; color: rgb(0, 32, 96); font-family: Arial, Helvetica, sans-serif;">Elliptic curves play a fundamental role in algebraic number theory. In the 1970s Drinfeld defined analogues of elliptic curves in the function field setting, which
are</span><span style="font-size: 12pt; color: rgb(0, 32, 96);"><o:p><span style="font-family: Arial, Helvetica, sans-serif; font-size: 12pt;"> </span></o:p></span><span style="font-size: 12pt; font-family: Arial, Helvetica, sans-serif; color: rgb(0, 32, 96);">now
called Drinfeld modules. Later on he defined a categorically equivalent notion, called elliptic sheaves, and studied their moduli space to prove Langlands correspondence. Since then many generalizations of Drinfeld modules and elliptic sheaves have been worked
out. In the first part of this talk we will form the function field and classical setting and discuss similarities between them. Then, we define Drinfeld modules, discuss the analogy between elliptic curves and Drinfeld modules. In the second part we will
define a new generalization of elliptic sheaves, called generalized D-elliptic sheaves and talk on their moduli space and of the uniformization of the latter if time permits.</span><span style="font-family: Calibri, sans-serif; font-size: 12pt; color: rgb(0, 32, 96);"><o:p><span style="font-family: Arial, Helvetica, sans-serif; font-size: 12pt;"> </span></o:p></span></p>
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<b><span lang="EN-US" style="font-size:12.0pt;mso-ansi-language:EN-US"><o:p><span style="font-family: Arial, Helvetica, sans-serif; font-size: 12pt;"> </span></o:p></span></b></p>
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<b><span lang="EN-US" style="mso-ansi-language:EN-US"><o:p><span style="font-family: Arial, Helvetica, sans-serif; font-size: 12pt;"> </span></o:p></span></b></p>
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<b><span lang="EN-US" style="font-size: 12pt; font-family: Arial, Helvetica, sans-serif; color: rgb(0, 32, 96);">Info:
</span></b><span style="font-size: 12pt; color: rgb(0, 32, 96); font-family: Arial, Helvetica, sans-serif;">If you would like to attend the seminar online, please send an email to Asgar Jamneshan at
</span><a href="mailto:ajamneshan@ku.edu.tr"><span style="font-size: 12pt; font-family: Arial, Helvetica, sans-serif;">ajamneshan@ku.edu.tr</span></a><span style="font-size: 12pt; color: rgb(0, 32, 96); font-family: Arial, Helvetica, sans-serif;"> for the Zoom
link.</span><span style="font-size: 12pt; color: rgb(0, 32, 96);"><o:p><span style="font-family: Arial, Helvetica, sans-serif; font-size: 12pt;"> </span></o:p></span></p>
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<span style="font-size:12.0pt"><o:p><span style="font-family: Arial, Helvetica, sans-serif; font-size: 12pt;"> </span></o:p></span></p>
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<span style="font-size: 12pt; color: rgb(0, 32, 96); font-family: Arial, Helvetica, sans-serif;">The Mathematics Seminar schedule can be found at
</span><a href="https://mysite.ku.edu.tr/math-sci/"><span style="font-size: 12pt; font-family: Arial, Helvetica, sans-serif;">https://mysite.ku.edu.tr/math-sci/</span></a><span style="font-size: 12pt; font-family: Arial, Helvetica, sans-serif;"> .</span><span style="font-size:12.0pt"><span style="color: rgb(0, 32, 96);"><o:p><span style="font-family: Arial, Helvetica, sans-serif; font-size: 12pt;"> </span></o:p></span></span></p>
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