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<div align="center"><big><b><big>Welcome to the 2023
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=20230414T1540&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">
<div align="center"><img
src="cid:part1.PhomsIzv.ykO0lpNO@bilkent.edu.tr"
alt="" class=""></div>
<div align="center"><b> </b><br>
</div>
<font size="2"><i>Edouard Leon Cortes (1882-1969)<br>
</i></font></div>
<div align="center"><br>
<div align="left"><b><b><font color="#ff0000">Speaker:<font
color="#000000"> <a moz-do-not-send="true"
href="https://math.boun.edu.tr/tr/craig-van-coevering">Craig
van Coevering</a><br>
</font></font></b></b><b><b><font
color="#ff0000">Affiliation: </font><i>Boğaziçi</i></b></b><b><b><font
color="#ff0000"><br>
Title:<font color="#000000"> Extremal Kähler
metrics and the moment map<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"> </font></font><br>
<div align="justify"><font color="#ff0000"><font
color="#000000">An extremal Kähler metric is a
canonical Kähler metric, introduced by E. Calabi,
which is somewhat more general than a constant
scalar curvature Kähler metric. The existence of
such a metric is an ongoing research subject and
expected to be equivalent to some form of
geometric stability of the underlying polarized
complex manifold (M,J,[ω]) –the
Yau-Tian-Donaldson conjecture. Thus it is no
surprise that there is a moment map, the scalar
curvature (A. Fujiki, S. Donaldson), and the
problem can be described as an infinite
dimensional version of the familiar finite
dimensional G.I.T.<br>
<br>
I will describe how the moment map can be used to
describe the local space of extremal metrics on a
symplectic manifold. Essentially, the local
picture can be reduced to finite dimensional
G.I.T. In particular, we can construct a course
moduli space of extremal Kähler metrics with a
fixed polarization [ω]∈H2(M,R), which is an
Hausdorff complex analytic space<br>
</font></font></div>
</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 April 2023</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>Zoom</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"><font size="1"><i>(PS: To unsubscribe
from this list please send me a note.)</i></font> </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" class="gmail-moz-txt-link-freetext moz-txt-link-freetext" moz-do-not-send="true">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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