[Turkmath:7103] ODTU-Bilkent Algebraic Geometry Seminar-Zoom-567

[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=20250425T1540&p1=19&ah=1>
*=================================================================

*

/Vincent van Gogh (1853-1890)
On the morning of 29 July 1890 Tuesday he was working on this painting. 
Later that day, in a field near Auvers, Vincent shot himself in the 
chest with a revolver. He died two days later, with his brother Theo at 
his bedside.
This painting is now on exhibition in the Van Gogh Museum in Amsterdam./
/
/
/
/
**Speaker: Hasan Suluyer <https://avesis.metu.edu.tr/hsuluyer>**
****Affiliation: /ODTÜ/**
**/
/**
**Title: Pencils of Conic-Line Curves
**
**
**Abstract: **A pencil is a line in the projective space of complex 
homogeneous polynomials of some degree d > 2. The number m of curves 
whose irreducible components are only lines in some pencils of degree d 
curves plays an important role for the existence of special line 
arrangements, which are called (m,d)-nets. It was proved that the number 
m, independent of d, cannot exceed 4 for an (m,d)-net. When the degree 
of each irreducible component of a curve is at most 2, this curve is 
called a conic-line curve and it is a union of lines or irreducible 
conics in the complex projective plane. Our main goal is to find an 
upper bound on the number m of such curves in pencils in CP^2 with the 
number of concurrent lines in these pencils.

In this talk, we study the restrictions on the number m of conic-line 
curves in special pencils. The most general result we obtain is the 
relation between upper bounds on m and the number of concurrent lines in 
these pencils. We construct a one-parameter family of pencils such that 
each pencil in the family contains exactly 4 conic-line curves.**

**

*Date:25 April 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

*/*/This seminar series is organized by a joint team from ODTÜ and Bilkent

Alexander Degtyarev (Bilkent)
Ali Sinan Sertöz (Bilkent) contact person
Ali Ulaş Özgür Kişisel (ODTÜ)
Yıldıray Ozan (ODTÜ)
/*/*

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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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