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<div align="center"><big><b><big>Welcome to the 2022 Spring
talks of ODTU-Bilkent Algebraic Geometry Seminars</big></b></big><b><br>
</b></div>
<div align="center"><i>since 2000</i><br>
</div>
<div align="center"><b><b>=================================================================</b></b><br>
<br>
This week the <a
href="http://www.bilkent.edu.tr/~sertoz/agseminar.htm"
target="_blank" moz-do-not-send="true">ODTU-Bilkent
Algebraic Geometry Seminar</a> is <b>Online.</b> <br>
<br>
<i><font color="#ff00ff">This talk will begin at <u><b>15:40</b></u><u> (GMT+3)</u></font></i><br>
<a
href="https://www.timeanddate.com/worldclock/fixedtime.html?msg=ODT%C3%9C-Bilkent+Algebraic+Geometry+Seminar&iso=20220429T1540&p1=19"
target="_blank" moz-do-not-send="true">Please check your
time difference between Ankara and your city here</a><br>
<b>=================================================================</b></div>
<div align="center"><br>
<img src="cid:part1.WGALCf9v.AQ5m5P5N@bilkent.edu.tr" alt=""
class="" width="486" height="364">
<div align="center"><b> </b></div>
Georgi Petrov<br>
Spring Window<br>
<font size="2"><i>(from the artist's homepage)</i></font><br>
<div align="left"><b><b><font color="#ff0000">Speaker:<font
color="#000000"> Melih Üçer<br>
</font></font></b></b><b><b><font color="#ff0000">Affiliation:
<font color="#000000"><i>Yıldırım Beyazıt</i></font></font></b></b><b><b><font
color="#ff0000"><br>
Title:<font color="#000000"> Burau Monodromy Groups of
Trigonal Curves<br>
</font><br>
</font></b></b></div>
</div>
<div align="left"><b><b><font color="#ff0000">Abstract:</font></b></b><font
color="#ff0000"><font color="#000000"> For a trigonal curve
on a Hirzebruch surface, there are several notions of
monodromy ranging from a very coarse one in S_3 to a very
fine one in a certain subgroup of Aut(F_3), and one group
in this range is PSL(2,Z). Except for the special case of
isotrivial curves, the monodromy group (the subgroup
generated by all monodromy actions) in PSL(2,Z) is a
subgroup of genus-zero and conversely any genus-zero
subgroup is the monodromy group of a trigonal curve (This
is a result of Degtyarev).<br>
<br>
A slightly finer notion in the same range is the monodromy
in the Burau group Bu_3. The aforementioned result of
Degtyarev imposes obvious restrictions on the monodromy
group in this case but without a converse result. Here we
show that there are additional non-obvious restrictions as
well and, with these restrictions, we show the converse as
well.</font></font></div>
<div align="left"><font color="#ff0000"><font color="#000000"><br>
</font></font></div>
<div align="left"><font color="#ff0000"><font color="#000000"><b><font
color="#ff0000">Date:<font color="#000000"> 29 April
2022</font></font></b>, Friday</font></font><br>
</div>
<div align="left"><font color="#ff0000"><font color="#000000"><b><font
color="#ff0000">Time: </font>15:40 <i>(GMT+3)</i></b><br>
<b><font color="#ff0000">Place: </font></b><font
color="#ff0000"><font color="#000000"><b>Zoom<br>
</b></font></font></font></font></div>
<div align="left"><font color="#ff0000"><font color="#000000"><font
color="#ff0000"><font color="#000000"><b><br>
</b></font></font></font></font></div>
<blockquote>
<p><font color="#ff0000"><font color="#000000"><font
color="#ff0000"><font color="#000000"><b><b
style="color:rgb(51,51,51);font-family:arial,verdana,sans-serif;font-size:14px">One
day before the seminar, an announcement with the
Zoom meeting link will be sent to those who
registered with Sertöz.<br>
</b></b></font></font></font></font></p>
<p><font color="#ff0000"><font color="#000000"><font
color="#ff0000"><font color="#000000"><b><b
style="color:rgb(51,51,51);font-family:arial,verdana,sans-serif;font-size:14px">If
you have registered before for one of the
previous talks, there is no need to register
again; you will automatically receive a link for
this talk too.<br>
</b></b></font></font></font></font></p>
<p><font color="#ff0000"><font color="#000000"><font
color="#ff0000"><font color="#000000"><b><b
style="color:rgb(51,51,51);font-family:arial,verdana,sans-serif;font-size:14px">If
you have not registered before, please contact
him at <a
href="mailto:sertoz@bilkent.edu.tr?subject=Zoom%20Seminar%20Address%20Request"
target="_blank" moz-do-not-send="true">sertoz@bilkent.edu.tr</a>.</b></b></font></font></font></font></p>
</blockquote>
<div align="left"><br>
</div>
<div align="left">Please bring your own tea and cookies and
self-serve at the convenience of your own home! 😁</div>
<div align="left"><br>
</div>
<div align="left">You are most cordially invited to attend.</div>
<div align="left"><br>
</div>
<div align="left">Ali Sinan Sertöz</div>
<hr>
<pre cols="72">----------------------------------------------------------------------------
Ali Sinan Sertöz
Bilkent University, Department of Mathematics, 06800 Ankara, Türkiye
Office: (90)-(312) - 290 1490
Department: (90)-(312) - 266 4377
Fax: (90)-(312) - 290 1797
e-mail: <a href="mailto:sertoz@bilkent.edu.tr" target="_blank" moz-do-not-send="true" class="moz-txt-link-freetext">sertoz@bilkent.edu.tr</a>
Web: <a href="http://sertoz.bilkent.edu.tr" target="_blank" moz-do-not-send="true">sertoz.bilkent.edu.tr</a>
----------------------------------------------------------------------------</pre>
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