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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>
----------------------------------------------------------------------------</pre>
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