You are cordially invited to the ODTU-Bilkent Algebraic Geometry Seminar.<\/p>\n
Speaker: Halil \u0130brahim Karaka\u015f (Ba\u015fkent)<\/p>\n
\u201cOn the enumeration of Arf numerical semigroups with given multiplicity and conductor\u201d<\/p>\n
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 ODT\u00dc-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. Tuta\u015f, 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 [Karaka\u015f H \u0130 and Tuta\u015f 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<\/p>\n
Date: 7 November 2025, Friday
\nTime: 15:40 (GMT+3)
\nPlace: Zoom<\/p>\n
This is an online seminar. To request the Zoom link, please send a message to sertoz@bilkent.edu.tr<\/p>\n","protected":false},"excerpt":{"rendered":"
You are cordially invited to the ODTU-Bilkent Algebraic Geometry Seminar. Speaker: Halil \u0130brahim Karaka\u015f (Ba\u015fkent) \u201cOn the enumeration of Arf numerical semigroups with given multiplicity and conductor\u201d Abstract: The number of numerical semigroups with given Frobenious number (or conductor, or genus) is one of the topics that is studied by [\u2026] <\/p>\n