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<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">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=20221118T1540&p1=19"
target="_blank">Please check your time difference
between Ankara and your city here</a><br>
<b>=================================================================</b></div>
<div align="center"><br>
<img src="cid:part1.KnS4Jfjm.xuyjiUp7@bilkent.edu.tr"
alt="image.png" width="376" height="516">
<div align="center"><b> </b></div>
<font size="2"><i>Kate Lycett</i></font><br>
<div align="left"><b><b><font color="#ff0000">Speaker:<font
color="#000000"> Müfit Sezer<br>
</font></font></b></b><b><b><font
color="#ff0000">Affiliation: <font
color="#000000"><i>Bilkent</i></font></font></b></b><b><b><font
color="#ff0000"><br>
Title:<font color="#000000"> Vector invariants
of a permutation group over characteristic
zero<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>We
consider a finite permutation group acting naturally on
a vector space <span style="font-style:italic">V</span> over
a field <span style="font-style:italic">k</span>. A well
known theorem of Göbel asserts that the corresponding
ring of invariants <span style="font-style:italic">k[V]<sup><span
style="font-size:9.96667px">G</span></sup></span> is
generated by invariants of degree at most <span
style="font-style:italic">dim V choose 2</span>. We
point out that if the characteristic of <span
style="font-style:italic">k</span> is zero then the
top degree of the vector coinvariants <span
style="font-style:italic">k[mV]<sub><span
style="font-size:9.96667px">G</span></sub></span> is
also bounded above by <span style="font-style:italic">n
choose 2</span> implying that Göbel's bound almost
holds for vector invariants as well in characteristic
zero. <font color="#ff0000"><font color="#000000"><br>
This work is joint with F. Reimers. </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"> 18 November 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">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"><i style="font-size:x-small">(PS: To
unsubscribe from this list please send me a note.)</i><br>
</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" class="moz-txt-link-freetext">sertoz@bilkent.edu.tr</a>
Web: <a href="http://sertoz.bilkent.edu.tr" target="_blank">sertoz.bilkent.edu.tr</a>
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