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<p style="margin:0cm;margin-bottom:.0001pt;background:white">Dear all,</p>
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<p style="margin:0cm;margin-bottom:.0001pt;background:white">Please find below the details of this week's mathematics seminar at Koç. You are welcome to attend. Please write me an email to receive the zoom link. </p>
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<p style="margin:0cm;margin-bottom:.0001pt;background:white">Best regards,</p>
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<p style="margin:0cm;margin-bottom:.0001pt;background:white">Asgar Jamneshan</p>
<p style="margin:0cm;margin-bottom:.0001pt;background:white"><b><span lang="EN-US" style="color:#002060;mso-ansi-language:EN-US"><br>
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<p style="margin:0cm;margin-bottom:.0001pt;background:white"><b><span lang="EN-US" style="color:#002060;mso-ansi-language:EN-US"><br>
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<p style="margin:0cm;margin-bottom:.0001pt;background:white"><b><span lang="EN-US" style="color:#002060;mso-ansi-language:EN-US">KOÇ UNIVERSITY MATH SEMINAR<o:p></o:p></span></b></p>
<p style="margin:0cm;margin-bottom:.0001pt;background:white"><b><span lang="EN-US" style="color:#002060;mso-ansi-language:EN-US">****************************<o:p></o:p></span></b></p>
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<b><span lang="EN-US" style="font-size:12.0pt;color:#002060;mso-ansi-language:EN-US">Speaker :</span></b><span lang="EN-US" style="font-size:12.0pt;color:#002060;mso-ansi-language:EN-US"> Haydar Göral, İzmir Institute of Technology</span><span lang="EN-US" style="font-size:12.0pt;mso-ansi-language:EN-US"><o:p></o:p></span></p>
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<b><span lang="EN-US" style="font-size:12.0pt;color:#002060;mso-ansi-language:EN-US">Title </span></b><b><span lang="EN-US" style="font-size:12.0pt;mso-ansi-language:EN-US">
<span style="color:#002060">:</span></span></b><span lang="EN-US" style="font-size:12.0pt;color:#002060;mso-ansi-language:EN-US"> Classification of Quadratic Number Fields Using Diophantine Equations</span><span style="font-size:12.0pt;color:#002060"><o:p></o:p></span></p>
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<b><span lang="EN-US" style="font-size:12.0pt;color:#002060;mso-ansi-language:EN-US">Date :</span></b><span lang="EN-US" style="font-size:12.0pt;color:#002060;mso-ansi-language:EN-US"> Tuesday, November 09, 2021<o:p></o:p></span></p>
<p style="margin:0cm;margin-bottom:.0001pt;background:white"><b><span lang="EN-US" style="font-size:12.0pt;color:#002060;mso-ansi-language:EN-US">Time </span></b><b><span lang="EN-US" style="color:#002060;mso-ansi-language:EN-US"> </span></b><b><span lang="EN-US" style="font-size:12.0pt;color:#002060;mso-ansi-language:EN-US">:</span></b><span lang="EN-US" style="font-size:12.0pt;color:#002060;mso-ansi-language:EN-US">
14:30-15:40 <o:p></o:p></span></p>
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<b><span lang="EN-US" style="font-size:12.0pt;color:#002060;mso-ansi-language:EN-US">Place </span></b><b><span lang="EN-US" style="font-size:12.0pt;mso-ansi-language:EN-US"> <span style="color:#002060"> :
</span></span></b><span lang="EN-US" style="font-size:12.0pt;color:#002060;mso-ansi-language:EN-US">Hybrid (SCI 103, Zoom)<i><o:p></o:p></i></span></p>
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<b><span lang="EN-US" style="font-size:12.0pt;color:#002060;mso-ansi-language:EN-US">Abstract:
</span></b><span lang="EN-US" style="font-size:12.0pt;color:#002060;mso-ansi-language:EN-US"> <o:p></o:p></span></p>
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<span lang="EN-US" style="font-size:12.0pt;color:#002060;mso-ansi-language:EN-US">In this talk, we consider some Diophantine equations over number fields. Recall that a number field is a finite field extension of the field of rational numbers. We show that
the finiteness of the set of all solutions of certain Diophantine equations determines quadratic number fields among all number fields. Along the way, we explain our motivation, we give many examples and relate the results to nonstandard analysis and arithmetic
geometry.<o:p></o:p></span></p>
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<o:p> </o:p></p>
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<b><span lang="EN-US" style="font-size:12.0pt;color:#002060;mso-ansi-language:EN-US">Info:
</span></b><span class="SpellE"><span style="font-size:12.0pt;color:#002060">If</span></span><span style="font-size:12.0pt;color:#002060">
<span class="SpellE">you</span> <span class="SpellE">would</span> <span class="SpellE">
like</span> <span class="SpellE">to</span> <span class="SpellE">attend</span> <span class="SpellE">
the</span> <span class="SpellE">seminar</span> online, <span class="SpellE">please</span>
<span class="SpellE">send</span> an <span class="SpellE">email</span> <span class="SpellE">
to</span> Asgar Jamneshan at </span><a href="mailto:ajamneshan@ku.edu.tr"><span style="font-size:12.0pt">ajamneshan@ku.edu.tr</span></a><span style="font-size:12.0pt;color:#002060">
<span class="SpellE">for</span> <span class="SpellE">the</span> <span class="SpellE">
Zoom</span> link.<o:p></o:p></span></p>
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<span style="font-size:12.0pt"><o:p> </o:p></span></p>
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<span class="SpellE"><span style="font-size:12.0pt;color:#002060">The</span></span><span style="font-size:12.0pt;color:#002060">
<span class="SpellE">Mathematics</span> <span class="SpellE">Seminar</span> <span class="SpellE">
schedule</span> can be <span class="SpellE">found</span> at </span><a href="https://mysite.ku.edu.tr/math-sci/"><span style="font-size:12.0pt">https://mysite.ku.edu.tr/math-sci/</span></a><span style="font-size:12.0pt">
<span class="SpellE">and</span> <a href="https://researchseminars.org/seminar/kocuniversitymathseminar">
https://researchseminars.org/seminar/kocuniversitymathseminar</a> <span style="color:#002060">
<o:p></o:p></span></span></p>
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<span style="mso-ascii-font-family:Calibri;mso-ascii-theme-font:minor-latin;mso-hansi-font-family:Calibri;mso-hansi-theme-font:minor-latin;mso-bidi-font-family:"Times New Roman";mso-bidi-theme-font:minor-bidi;mso-fareast-language:EN-US"><o:p> </o:p></span></p>
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