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<div align="center"><big><b><big>Welcome to the 2023 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 <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=20231201T1540&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.RQ9VkrEU.Orb0RSUP@bilkent.edu.tr"
alt="" class="" width="469" height="546"></div>
<div align="center"><b><br>
</b><i>Johannes Vermeer (1632-1675)<br>
The lacemaker (1669)</i><br>
</div>
<div align="left"><b><b><font color="#ff0000">Speaker:</font>
<a
href="https://w3.ie.bilkent.edu.tr/tr/hakkimizda/akademik-kadro/nil-sahin/"
moz-do-not-send="true">Nil Şahin</a><font
color="#ff0000"><font color="#000000"> <br>
</font></font></b></b><b><b><font
color="#ff0000">Affiliation: </font><i>Bilkent</i></b></b><b><b><font
color="#ff0000"><br>
Title:<font color="#000000"> Monotonicity of the
Hilbert Functions of some monomial curves<br>
</font></font></b></b><b><b><font
color="#ff0000"><br>
</font></b></b></div>
</div>
<div align="left"><b><b><font color="#ff0000">Abstract: <font
color="#000000">Let $S$ be a 4-generated
pseudo-symmetric semigroup generated by the
positive integers $\{n_1, n_2, n_3, n_4\}$ where
$\gcd(n_1, n_2, n_3, n_4) = 1$. $k$ being a
field, let $k[S]$ be the corresponding semigroup
ring and<br>
$I_S$ be the defining ideal of $S$. $f_*$ being
the homogeneous summand of $f$, tangent cone of
$S$ is $k[S]/{I_S}_*$ where ${I_S}_* =< f_*|f
\in I_S >$. We will show that the "Hilbert
function of the local ring (which is isomorphic
to the tangent cone) for a 4 generated
pseudo-symmetric numerical semigroup
$<n_1,n_2,n_3,n_4>$ is always
non-decreasing when $n_1<n_2<n_3<n_4$"
by an explicit Hilbert function computation.<br>
<br>
</font></font></b></b></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"> 1 December 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>
----------------------------------------------------------------------------</pre>
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