[Turkmath:7071] ODTU-Bilkent Algebraic Geometry Seminar-Zoom-563

[Ali Sinan Sertöz]

*Welcome to the 2025 Spring talks of ODTU-Bilkent Algebraic Geometry 
Seminars**
*
/since 2000/
**=================================================================**

This week the ODTU-Bilkent Algebraic Geometry Seminar 
<http://www.bilkent.edu.tr/~sertoz/agseminar.htm>  is *online*

/This talk will begin at _*15:40*__ (GMT+3)_/
Please check your time difference between Ankara and your city here 
<https://www.timeanddate.com/worldclock/fixedtime.html?msg=ODT%C3%9C-Bilkent+Algebraic+Geometry+Seminar&iso=20250321T1540&p1=19&ah=1>
*=================================================================*

/Van Gogh (1853-1890)/
**Speaker: *Selma Altınok Bhupal <https://avesis.hacettepe.edu.tr/sbhupal>*
****Affiliation: /Hacettepe/**
**/
/**
**Title: The Algebra of Generalised Splines*
*
**
**Abstract: **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.

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.


*Date:21 March 2025*, *Friday*
*Time: 15:40 /(GMT+3)/*
*Place: **Zoom*

    **One day before the seminar, an announcement with the Zoom meeting
    link will be sent to those who registered with Sertöz.
    **

    **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.
    **

    **If you have not registered before, please contact him at
    sertoz at bilkent.edu.tr
    <mailto:sertoz at bilkent.edu.tr?subject=Zoom%20Seminar%20Address%20Request>.**


You are most cordially invited to attend.

Ali Sinan Sertöz

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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:sertoz at bilkent.edu.tr <mailto:sertoz at bilkent.edu.tr> 
Web:sertoz.bilkent.edu.tr <http://sertoz.bilkent.edu.tr> 
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