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<div align="center"><big><b><big>Welcome to the 2024
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=20240405T1540&p1=19&ah=1"
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.YS4RILXc.hu9q2qU9@bilkent.edu.tr"
alt="" class="" width="395" height="387"></div>
<div align="center"><b><br>
</b><i>Edgar Degas (1834-1917)<br>
Blue dancers (1897)</i><br>
</div>
<div align="left"><b><b><font color="#ff0000">Speaker:</font>
<a
href="https://sites.google.com/view/eniskaya/home"
moz-do-not-send="true">Enis Kaya</a><font
color="#ff0000"><font color="#000000"> <br>
</font></font></b></b><b><b><font
color="#ff0000">Affiliation: </font><i>KU
Leuven</i></b></b></div>
<div align="left"><b><b><i><br>
</i></b></b></div>
<div align="left"><b><b><font color="#ff0000"> Title:<font
color="#000000"> p-adic Integration Theories
on Curves</font></font></b></b><b><b><font
color="#ff0000"><br>
</font></b></b></div>
<div align="left"><b><b><font color="#ff0000"><br>
</font></b></b></div>
</div>
<div align="left"><b><b><font color="#ff0000">Abstract: </font></b></b>For
curves over the field of p-adic numbers, there are two
notions of p-adic integration: Berkovich-Coleman
integrals which can be performed locally, and Vologodsky
integrals with desirable number-theoretic properties.
These integrals have the advantage of being insensitive
to the reduction type at p, but are known to coincide
with Coleman integrals in the case of good reduction.
Moreover, there are practical algorithms available to
compute Coleman integrals.<br>
<br>
Berkovich-Coleman and Vologodsky integrals, however,
differ in general. In this talk, we give a formula for
passing between them. To do so, we use combinatorial
ideas informed by tropical geometry. We also introduce
algorithms for computing Berkovich-Coleman and
Vologodsky integrals on hyperelliptic curves of bad
reduction. By covering such a curve by certain open
spaces, we reduce the computation of Berkovich-Coleman
integrals to the known algorithms on hyperelliptic
curves of good reduction. We then convert the
Berkovich-Coleman integrals into Vologodsky integrals
using our formula. We illustrate our algorithm with a
numerical example.<br>
<br>
This talk is partly based on joint work with Eric Katz
from the Ohio State University.<br>
<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"> 5 April 2024</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>
----------------------------------------------------------------------------</pre>
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