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<div style="font-size: 13.3333330154419px;"><span style="font-size: 10pt; line-height: 15.3333320617676px; font-family: 'Segoe UI', sans-serif;">Sayin Liste Uyeleri,</span><br>
<br>
GTU Matematik Bölümü Genel Seminerleri kapsamında,<br>
27 Mart Cuma günü saat 14:00'da <span style="font-size: 13.3199996948242px;">Alev TOPUZOĞLU</span><br>
(Sabancı Universitesi) bir seminer verecektir. Seminerin<br>
detayları aşağıda olup tüm ilgilenenler davetlidir.<br>
<br>
Saygılarımızla,</div>
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<div style="font-size: 13.3333330154419px;"><font style="font-size: 13.3333330154419px; font-family: Arial;"><span style="font-size: 13px;"><font face="Arial" size="1"><span style="font-size: 13.32px;"><font face="Arial,sans-serif" size="1" color="#222222"><span style="font-size: 12.78px; background-color: white;">Title: </span></font></span></font></span></font><span style="font-size: 13.3333330154419px;">On
a problem in Number Theory: A new approach</span>
<p class="MsoNormal"><span lang="EN-GB"><o:p></o:p></span></p>
<font face="Arial"><br>
<font color="#222222"><span style="font-size: 12.78px; background-color: white;">Abstract:</span><span style="background-color: white;"><font size="2"> </font></span></font></font><span style="font-size: 13px;"> </span></div>
<p class="MsoNormal"><span lang="EN-GB">This talk aims to explain the recent solution of a problem in metric number theory, originating from Diophantine approximations.
<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-GB"> </span></p>
<p class="MsoNormal"><span lang="EN-GB">We will be concerned with the existence of explicitly defined infinite families of sequences of real numbers in [0,1), exhibiting particular distribution properties. We will first give a brief introduction to sequences
that are “uniformly distributed mod. 1”. We will then describe the problem, and the tools to solve it. Our methods are based on the work on permutation polynomials over finite fields, due to the speaker and her collaborators, and on low discrepancy sequences,
obtained by Pausinger. A recent result of Bourgain and Kontorovich on Zaremba’s Conjecture enables us to solve the existence problem completely. <o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-GB"> </span></p>
<p class="MsoNormal"><span lang="EN-GB">No prior knowledge of uniform distribution theory will be assumed. This is joint work with Florian Pausinger.
<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-GB"> </span></p>
<p class="MsoNormal"><span lang="EN-GB"> </span></p>
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</span></font></span></font></span></font></div>
<div style="font-size: 13.3333330154419px;"><font style="font-size: 13.3333330154419px; font-family: Arial;"><span style="font-size: 13px;"><font face="Arial" size="1"><span style="font-size: 13.32px;"><font face="Arial,sans-serif" size="1" color="#222222"><span style="font-size: 12.78px; background-color: white;"><br>
</span></font></span></font></span></font></div>
<div style="font-size: 13.3333330154419px;"><font style="font-size: 13.3333330154419px; font-family: Arial;"><span style="font-size: 13px;"><font face="Arial" size="1"><span style="font-size: 13.32px;"><font face="Arial,sans-serif" size="1" color="#222222"><span style="font-size: 12.78px; background-color: white;"><br>
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<div style="font-size: 13.3333330154419px;"><span style="font-size: 10pt; line-height: 15.3333320617676px; font-family: 'Segoe UI', sans-serif;">Dear all,</span><br>
<br>
There will be a seminar in Gebze Technical University (GTU) on 27th of<br>
March by <span style="font-size: 13.3199996948242px;">Alev TOPUZOĞLU</span> (Sabancı Uni) on "<span style="font-size: 9.5pt; line-height: 14.5666675567627px; font-family: Arial, sans-serif; color: rgb(34, 34, 34); background: white;"> </span><span style="font-family: Arial; font-size: small;">Frobenius-like
groups as groups of automorphisms``</span><br>
<br>
Time and place: March 27th, at 14:00 in Department of Mathematics,<br>
Building I, Seminar room.</div>
</div>
<div style="font-size: 13.3333330154419px;"><br>
</div>
<div style="font-size: 13.3333330154419px;">
<div style="font-size: 13.3333330154419px;">
<div style="font-size: 13.3333330154419px;"><font style="font-size: 13.3333330154419px; font-family: Arial;"><span style="font-size: 13px;"><font face="Arial" size="1"><span style="font-size: 13.32px;"><font face="Arial,sans-serif" size="1" color="#222222"><span style="font-size: 12.78px; background-color: white;">Title:</span></font></span></font></span></font><span style="font-size: 13.3333330154419px;">On
a problem in Number Theory: A new approach</span>
<p class="MsoNormal"><span lang="EN-GB"><o:p></o:p></span></p>
<font face="Arial"><br>
<font color="#222222"><span style="font-size: 12.78px; background-color: white;">Abstract:</span><span style="background-color: white;"><font size="2"> </font></span></font></font><span style="font-size: 13px;"> </span></div>
<p class="MsoNormal" style="font-size: 13px;"><span lang="EN-GB">This talk aims to explain the recent solution of a problem in metric number theory, originating from Diophantine approximations.<o:p></o:p></span></p>
<p class="MsoNormal" style="font-size: 13px;"><span lang="EN-GB"> </span></p>
<p class="MsoNormal" style="font-size: 13px;"><span lang="EN-GB">We will be concerned with the existence of explicitly defined infinite families of sequences of real numbers in [0,1), exhibiting particular distribution properties. We will first give a brief
introduction to sequences that are “uniformly distributed mod. 1”. We will then describe the problem, and the tools to solve it. Our methods are based on the work on permutation polynomials over finite fields, due to the speaker and her collaborators, and
on low discrepancy sequences, obtained by Pausinger. A recent result of Bourgain and Kontorovich on Zaremba’s Conjecture enables us to solve the existence problem completely. <o:p></o:p></span></p>
<p class="MsoNormal" style="font-size: 13px;"><span lang="EN-GB"> </span></p>
<p class="MsoNormal" style="font-size: 13px;"><span lang="EN-GB">No prior knowledge of uniform distribution theory will be assumed. This is joint work with Florian Pausinger.<o:p></o:p></span></p>
<p class="MsoNormal" style="font-size: 13px;"><span lang="EN-GB"> </span></p>
<p class="MsoNormal" style="font-size: 13px;"><span lang="EN-GB"> </span></p>
<div><span lang="EN-GB"><br>
</span></div>
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