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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>15:00</b></u><u> (GMT+3)
<font color="#000000"><<--New time<br>
</font></u></font></i><br>
<a
href="https://www.timeanddate.com/worldclock/fixedtime.html?msg=ODT%C3%9C-Bilkent+Algebraic+Geometry+Seminar&iso=20230428T15&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.HAZ2gHxM.Iw4Yzyh2@bilkent.edu.tr"
alt="" class="" width="513" height="754"></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://avesis.hacettepe.edu.tr/mesut.sahin">Mesut
Şahin</a><br>
</font></font></b></b><b><b><font
color="#ff0000">Affiliation: </font><i>Hacettepe</i></b></b><b><b><font
color="#ff0000"><br>
Title:<font color="#000000"> Vanishing Ideals
and Codes on Toric 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"> </font></font><br>
<div align="justify"><font color="#ff0000"><font
color="#000000">Motivated by applications to the
theory of error-correcting codes, we give an
algorithmic method for computing a generating set
for the ideal generated by $\beta$-graded
polynomials vanishing on a subset of a simplicial
complete toric variety $X$ over a finite field
$\mathbb{F}_q$, parameterized by rational
functions, where $\beta$ is a $d\times r$ matrix
whose columns generate a subsemigroup
$\mathbb{N}\beta$ of $\mathbb{N}^d$. We also give
a method for computing the vanishing ideal of the
set of $\mathbb{F}_q$-rational points of $X$. We
talk about some of its algebraic invariants
related to basic parameters of the corresponding
evaluation code. When $\beta=[w_1 \cdots w_r]$ is
a row matrix corresponding to a numerical
semigroup $\mathbb{N}\beta=\langle w_1,\dots,w_r
\rangle$, $X$ is a weighted projective space and
generators of its vanishing ideal is related to
the generators of the defining (toric) ideals of
some numerical semigroup rings corresponding to
semigroups generated by subsets of
$\{w_1,\dots,w_r\}$.<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"> 28 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>10:40 <i>(GMT+3)
<<<<<<<<<<font
color="#00ff00"> <font color="#ff0000">Notice
the new start time <font color="#000000"><<<<<<<<<<</font></font>
</font></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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