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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 Fall 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:part1.10lFRu6W.Vg0h6GSe@bilkent.edu.tr" alt=""
class="" width="468" height="587"> </b><font size="-1"><i>
</i></font></div>
<div align="center"><font size="-1"><i>Paul Gauguin
(1848-1903)<br>
</i></font></div>
<div align="left"><br>
<b><b><font color="#ff0000">Speaker:<font color="#000000">
Berkan Uze<br>
</font></font></b></b></div>
<div align="left"><b><b><font color="#ff0000">Affiliation: <font
color="#000000">Boğaziçi</font><br>
Title:<font color="#000000"> A Glimpse of
Noncommutative Motives<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"> The theory of motives
was conceived as a universal cohomology theory for
algebraic varieties. Today it is a vast subject
systematically developed in many directions spanning
algebraic geometry, arithmetic geometry, homotopy theory
and higher category theory. Following ideas of Kontsevich,
Tabuada and Robalo independently developed a theory of
“noncommutative” motives for DG-categories (such as
enhanced derived categories of schemes) which encompasses
the classical theory of motives and helps assemble
so-called additive invariants such as Algebraic K-Theory,
Hochschild Homology and Topological Cyclic Homology into a
motivic formalism in the very precise sense of the word.
We will review the fundamental concepts at work, which
will inevitably involve a foray into the formalism of
enhanced and higher categories. We will then discuss
Kontsevich’s notion of a noncommutative space and
introduce noncommutative motives as “universal additive
invariants” of noncommutative spaces. We will conclude by
offering a brief sketch of Robalo’s construction of the
noncommutative stable homotopy category, which is directly
in the spirit of Voevodsky’s original construction.<br>
</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"> 12
November 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><br>
<b><font color="#ff0000">Place: </font></b><font
color="#ff0000"><font color="#000000"><b>Zoom<br>
</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">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"
moz-do-not-send="true">sertoz@bilkent.edu.tr</a>.</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="gmail-moz-smiley-s1"></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>
<pre class="gmail-moz-signature" cols="72">----------------------------------------------------------------------------
Ali Sinan Sertöz
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="gmail-moz-txt-link-abbreviated moz-txt-link-freetext" href="mailto:sertoz@bilkent.edu.tr" moz-do-not-send="true">sertoz@bilkent.edu.tr</a>
Web: <a href="http://sertoz.bilkent.edu.tr" moz-do-not-send="true">sertoz.bilkent.edu.tr</a>
----------------------------------------------------------------------------</pre>
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