Welcome to the 2025 Fall talks of ODTÜ-Bilkent Algebraic
Geometry Seminars
since 2000
Jean-Leon Gerome (1824-1904)
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.] 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@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@bilkent.edu.tr
Web: sertoz.bilkent.edu.tr
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