[Turkmath:5154] ODTU-Bilkent Algebraic Geometry Seminar-Zoom-490

[Ali Sinan Sertöz]

*
*
*Welcome to the 2021 Fall talks of ODTU-Bilkent Algebraic Geometry 
Seminars**
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/since 2000/
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This week the ODTU-Bilkent Algebraic Geometry Seminar 
<http://www.bilkent.edu.tr/%7Esertoz/agseminar.htm> is *Online.*

/This talk will begin at _*15:40*__(GMT+3)_/

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**//
/Paul Gauguin (1848-1903)
/

**Speaker:Mesut Şahin*
*Affiliation: Hacettepe
Title:Linear Codes on Subgroups of Weighted Projective Tori

**
**Abstract:**Toric varieties are interesting geometric objects lying on 
the crossroad of algebra, geometry and combinatorics containing a dense 
torus which is an algebraic group acting on the toric variety. Many 
champion codes obtained from toric varieties appeared in the literature.

The simplest examples of toric varieties include classical and weighted 
projective spaces. Parameters of linear codes obtained by evaluating 
rational functions on a projective torus are computed in 2011 by 
Sarmiento, Vaz Pinto and Villarreal. This idea is transferred to 
weighted projective tori and some parameters are computed in 2015 by 
Dias and Neves.

The purpose of this talk is to introduce some linear codes on toric 
varieties. We focus on codes obtained from certain subgroups of the 
weighted projective torus over a finite field, and to share some 
formulas for their parameters in some cases. We restrict to two 
dimensional case to obtain more explicit formula for the minimum 
distance of the code on the weighted projective torus T(1,1,a) over F_q.

This is a joint work with Oğuz Yayla of METU.

*Date:8 October 2021*, Friday
*Time: 15:40*
*Place: **Zoom
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    **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>.**

**


Please bring your own tea and cookies and self-serve at the convenience 
of your own home! 😁

You are most cordially invited to attend.

Ali Sinan Sertöz
**

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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: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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