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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> 
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