<html>
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
</head>
<body>
<div dir="ltr"><br>
<div lang="x-unicode">
<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 <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=20221216T1540&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.mYpfk9ov.JanMcvTS@bilkent.edu.tr" alt=""
class="">
<div align="center"><b> </b></div>
<font size="2"><i>David Barnes</i></font><br>
<div align="left"><b><b><font color="#ff0000">Speaker:<font
color="#000000"> Özhan Genç<br>
</font></font></b></b><b><b><font color="#ff0000">Affiliation: </font><i>Jagiellonian</i></b></b><b><b><font
color="#ff0000"><br>
Title:<font color="#000000"> Finite Length Koszul
Modules and Vector Bundles<br>
<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>
<font color="#ff0000"><font color="#000000">Let <span><span
style="font-style:italic;">V</span></span> be a
complex vector space of dimension <span><span
style="font-style:italic;">n≥ 2</span></span> and <span><span
style="font-style:italic;">K</span></span> be a
subset of <span><span style="font-style:italic;">⋀<sup><span
style="font-size: 92%">2</span></sup>V</span></span> of
dimension <span><span style="font-style:italic;">m</span></span>.
Denote the Koszul module by <span><span
style="font-style:italic;">W(V,K)</span></span> and
its corresponding resonance variety by <span><span
style="font-style:italic;">ℛ(V,K)</span></span>.
Papadima and Suciu showed that there exists a uniform
bound <span><span style="font-style:italic;">q(n,m)</span></span>
such that the graded component of the Koszul module <span><span
style="font-style:italic;">W<sub><span
style="font-size: 92%">q</span></sub>(V,K)=0</span></span>
for all <span><span style="font-style:italic;">q≥ q(n,m)</span></span>
and for all <span><span style="font-style:italic;">(V,K)</span></span>
satisfying <span><span style="font-style:italic;">ℛ(V,K)={0}</span></span>.
In this talk, we will determine this bound <span><span
style="font-style:italic;">q(n,m)</span></span>
precisely, and find an upper bound for the Hilbert series
of these Koszul modules. Then we will consider a class of
Koszul modules associated to vector bundles. This is a
joint work with B.Karadeniz, H. Mourtada and C.Plenat.</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"> 16
December 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>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"><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>
</div>
</div>
</body>
</html>