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        <div align="center"><big><b><big>Welcome to the 2022 Fall 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 hybrid<br>
          <br>
          <b>The seminar will be face-to-face at ODTÜ with Zoom
            participation available</b><b><br>
          </b><b> </b><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.rsYvyqp0.2czN0huf@bilkent.edu.tr" alt=""
            class="" width="385" height="482">
          <div align="center"><b> </b></div>
          <font size="2"><i>William Hawkins (1895-1990)</i></font><br>
          <div align="left"><b><b><font color="#ff0000">Speaker:<font
                    color="#000000"> Andrew Sutherland<br>
                  </font></font></b></b><b><b><font color="#ff0000">Affiliation:
                  <font color="#000000"><i>MIT</i></font></font></b></b><b><b><font
                  color="#ff0000"><br>
                  Title:<font color="#000000"> Sato-Tate groups of
                    abelian varieties<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"> Let A be an abelian
              variety of dimension g defined over a number field K.  As
              defined by Serre, the Sato-Tate group ST(A) is a compact
              subgroup of the unitary symplectic group USp(2g) equipped
              with a map that sends each Frobenius element of the
              absolute Galois group of K at primes p of good reduction
              for A to a conjugacy class of ST(A) whose characteristic
              polynomial is determined by the zeta function of the
              reduction of A at p.  Under a set of axioms proposed by
              Serre that are known to hold for g <= 3, up to
              conjugacy in Usp(2g) there is a finite list of possible
              Sato-Tate groups that can arise for abelian varieties of
              dimension g over number fields.  Under the Sato-Tate
              conjecture (which is known for g=1 when K has degree 1 or
              2), the asymptotic distribution of normalized Frobenius
              elements is controlled by the Haar measure of the
              Sato-Tate group.<br>
              <br>
              In this talk I will present a complete classification of
              the Sato-Tate groups that can and do arise for g <= 3.<br>
              <br>
              This is joint work with Francesc Fite and Kiran Kedlaya.</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"> 14 October
                    2022</font></font></b>, <b>Friday</b></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>ODTÜ,
                    Mathematics Department, Room M-203<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">You are most cordially invited to attend.</div>
        <div align="left"><br>
        </div>
        <div align="left">Ali Sinan Sertöz</div>
        <div align="left">PS: <i>As this is the first mail of a new
            semester please let me know if you no longer wish to receive
            these announcements personally. On the other hand if a
            friend forwarded this message to you and you wish to be
            added to the mailing list, again please let me know.</i><br>
        </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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