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<div align="center"><big><b><big>Welcome to the 2025
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>15:40</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=20250321T1540&p1=19&ah=1"
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.su4iN0VZ.QBzJyzAe@bilkent.edu.tr"
alt="" class=""></div>
</div>
<div align="center"><br>
</div>
<div align="center"><i>Van Gogh (1853-1890)</i><br>
<div align="left"><b><b><font color="#ff0000">Speaker:
</font></b><a
href="https://avesis.hacettepe.edu.tr/sbhupal"
moz-do-not-send="true">Selma Altınok Bhupal</a><b><font
color="#ff0000"><font color="#000000"> <br>
</font></font></b></b><b><b><font
color="#ff0000">Affiliation: </font><i>Hacettepe</i></b></b></div>
<div align="left"><b><b><i><br>
</i></b></b></div>
<div align="left"><b><b><font color="#ff0000"> Title: <font
color="#000000">The Algebra of Generalised
Splines</font></font></b><br>
<b><font color="#ff0000"><font color="#000000"><br>
</font></font></b></b></div>
</div>
<div align="left"><b><b><font color="#ff0000">Abstract: </font></b></b>Clasical
splines are piecewise polynomial functions over
polyhedral complexes with a certain degree of smoothness
at the intersections of adjacent faces. They are widely
used in applications of different areas, ranging from
approximation theory to geomatric modelling.
Alternativaly, splines can be interpreted as a
collection of polynomial labeling the vertices of a
(compinatorial) graph, with adjacent vertex-labels
differing by the power of an affine line form attacthed
to the edge. The concept of splines can be generalized
to define on graphs with edge labels over arbitrary
rings. Such splines are called generalized splines.<br>
<br>
In this talk, we give a brief description of what
generalized splines are on arbitrary garphs and their
properties. We explain algebraic geometric and
combinatorial motivations behind studying generalized
splines. In the rest of the talk, we mainly focus on the
module structure of generalized splines and discuss
their basis.<br>
<br>
</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"> 21 March 2025</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"
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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