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<div align="center"><big> <b><big><br>
</big></b></big></div>
<div align="center"><big><b><big>Welcome to the 2021 Spring talks of
ODTU-Bilkent Algebraic Geometry Seminars</big></b></big><b><br>
</b><b> </b><b> </b></div>
<b> </b>
<div align="center"><i>since 2000</i><br>
<b> </b> </div>
<div align="center"><b> </b><b> </b><b><b>=================================================================</b>
</b><br>
<b> </b><br>
This week the <a
href="http://www.bilkent.edu.tr/%7Esertoz/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>
<br>
<b>=================================================================</b></div>
<div align="center"><br>
<br>
<div align="center"><b><img
src="cid:part2.805ADF24.39C3F8C1@bilkent.edu.tr" alt=""
class="" width="428" height="331"> </b><font size="-1"><i> </i></font></div>
<div align="center"><font size="-1"><i>Fikret Muallâ (1903-1967)<br>
Üstünel Collection<br>
</i></font></div>
<div align="left"><br>
<b><b><font color="#ff0000">Speaker: <font color="#000000">Berrin
Şentürk</font></font></b><br>
<span lang="tr"></span><b><font color="#ff0000">Affiliation: <font
color="#000000">TEDU<br>
</font></font></b></b></div>
</div>
<div align="left"><b><b><font color="#ff0000"><br>
Title:<font color="#000000"> Free Group Action on Product of
3 Spheres</font><br>
</font></b></b></div>
<div align="left"><b><b><font color="#ff0000">Abstract:</font></b></b><font
color="#ff0000"><font color="#000000"> A long-standing Rank
Conjecture states that if an elementary abelian p-group acts
freely on a product of spheres, then the rank of the group is
at most the number of spheres in the product. We will discuss
the algebraic version of the Rank Conjecture given by Carlsson
for a differential graded module M over a polynomial ring. We
will state a stronger conjecture concerning varieties of
square-zero upper triangular matrices corresponding to the
differentials of certain modules. By the work on free flags in
M introduced by Avramov, Buchweitz, and Iyengar, we will
obtain some restriction on the rank of submodules of these
matrices. By this argument we will show that (Z/2Z)^4 cannot
act freely on product of 3 spheres of any dimensions. <br>
<br>
</font></font></div>
<div align="left"><font color="#ff0000"><font color="#000000"><b><font
color="#ff0000">Date:<font color="#000000"> 9 April 2021</font></font></b>,
Friday</font></font><br>
</div>
<div align="left"><font color="#ff0000"><font color="#000000"><b> <font
color="#ff0000">Time: </font>15:40</b> (GMT+3) <br>
<b><font color="#ff0000">Place: </font></b><font
color="#ff0000"><font color="#000000"><b>Zoom</b></font></font></font></font></div>
<div align="left"><font color="#ff0000"><font color="#000000"><font
color="#ff0000"><font color="#000000"><b><br>
</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; font-style: normal;
font-variant-ligatures: normal; font-variant-caps:
normal; letter-spacing: normal; orphans: 2;
text-align: start; text-indent: 0px; text-transform:
none; white-space: normal; widows: 2; word-spacing:
0px; -webkit-text-stroke-width: 0px;
background-color: rgb(255, 255, 255);
text-decoration-style: initial;
text-decoration-color: initial;">One day before the
seminar, an announcement with the Zoom 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; font-style: normal;
font-variant-ligatures: normal; font-variant-caps:
normal; letter-spacing: normal; orphans: 2;
text-align: start; text-indent: 0px; text-transform:
none; white-space: normal; widows: 2; word-spacing:
0px; -webkit-text-stroke-width: 0px;
background-color: rgb(255, 255, 255);
text-decoration-style: initial;
text-decoration-color: initial;">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; font-style: normal;
font-variant-ligatures: normal; font-variant-caps:
normal; letter-spacing: normal; orphans: 2;
text-align: start; text-indent: 0px; text-transform:
none; white-space: normal; widows: 2; word-spacing:
0px; -webkit-text-stroke-width: 0px;
background-color: rgb(255, 255, 255);
text-decoration-style: initial;
text-decoration-color: initial;">If you have not
registered before, please contact him at<span> <a
moz-do-not-send="true"
href="mailto:sertoz@bilkent.edu.tr?subject=Zoom%20Seminar%20Address%20Request">sertoz@bilkent.edu.tr</a></span>.</b></b></font></font></font></font></p>
</blockquote>
<p><font color="#ff0000"><font color="#000000"><font color="#ff0000"><font
color="#000000"><b> </b></font></font></font></font></p>
<div align="left"><br>
</div>
<div align="left">Please bring your own tea and cookies and
self-serve at the convenience of your own home! 😁<span
class="moz-smiley-s1"><span></span></span></div>
<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<br>
<font color="#ff0000"><font color="#000000"><b><font
color="#ff0000"> </font></b></font></font></div>
<div align="left"><font color="#ff0000"><font color="#000000"><br>
</font></font></div>
<pre class="moz-signature" signature-switch-id="07ffc569-c388-4f65-9311-87f39bd235fa" cols="72">----------------------------------------------------------------------------
Ali Sinan Sertoz
Bilkent University, Department of Mathematics, 06800 Ankara, Turkey
Office: (90)-(312) - 290 1490
Department: (90)-(312) - 266 4377
Fax: (90)-(312) - 290 1797
e-mail: <a class="moz-txt-link-abbreviated" href="mailto:sertoz@bilkent.edu.tr" moz-do-not-send="true">sertoz@bilkent.edu.tr</a>
Web: sertoz.bilkent.edu.tr
----------------------------------------------------------------------------</pre>
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