[Turkmath:7321] ODTU-Bilkent Algebraic Geometry Seminar-Zoom-572

[Ali Sinan Sertöz]

*Welcome to the 2025 Fall talks of ODTÜ-Bilkent Algebraic Geometry 
Seminars**
*
/since 2000/
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This week the ODTÜ-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=20251107T1540&p1=19&ah=1>
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*

/Jean-Leon Gerome (1824-1904)
/
/
/
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**Speaker: Halil İbrahim Karakaş <https://akademik.baskent.edu.tr/karakas>**
******Affiliation: /Başkent

/**
**Title: **On the enumeration of Arf numerical semigroups with given 
multiplicity and conductor

**
**Abstract: **The number of numerical semigroups with given Frobenious 
number (or conductor, or genus) is one of the topics that is studied by 
many researchers. In our previous works, we have given parametrizations 
of Arf numerical semigroups of small multiplicity and obtained formulas 
for the number of Arf numerical semigroups with multiplicity less than 
14 and arbitrary conductor. I presented part of these results in 
ODTÜ-Bikent AG seminars 6 years ago. We noticed that the number of Arf 
numerical semigroups with multiplicity m  and conductor c  is 
(eventually) constant for some m (especially for prime m) when 
restricted to some congruence classes of c modulo m. In a recent work 
with N. Tutaş, we have characterized those multiplicities m and 
congruence classes of c modulo m for which the above property holds. 
This talk will be based on [Karakaş H İ and Tutaş N, (2025), On the 
enumeration of Arf numerical semigroups with given multiplicity and 
conductor, Semigroup Forum 110, 308-316. 
<https://link.springer.com/article/10.1007/s00233-025-10503-8>] where 
the above characterization is given.

*Date: 7 November 2025, Friday*
*Time: 15:40 /(GMT+3)/*
*Place: **Zoom*

    /*Participants who have registered will receive the Zoom link via
    email one day before the seminar.*/

    /*If you registered for a previous talk in this series, there's no
    need to register again—you'll automatically receive the link for
    this session.*/

    /*If you haven't registered yet, please contact
    sertoz at bilkent.edu.tr to be added to the mailing list.*/

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
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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