BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Pınar Mete (Balıkesir) DTSTART:20240223T124000Z DTEND:20240223T134000Z DTSTAMP:20260423T021300Z UID:OBAGS/40 DESCRIPTION:Title: O n some invariants of the tangent cones of numerical semigroup rings\nb y Pınar Mete (Balıkesir) as part of ODTU-Bilkent Algebraic Geometry Semi nars\n\n\nAbstract\nThe minimal free resolution is a very useful tool for extracting information about modules. Many important numerical invariants of a module such as Hilbert function and Betti numbers can be deduced from its minimal free resolution. Stamate gave a broad survey on these topics when the modules are the semigroup ring or its tangent cone for a numerica l semigroup S. He also stated the problem of describing the Betti numbers and the minimal free resolution for the tangent cone when S is 4-generated semigroup which is symmetric. In this talk\, I will first give some of ou r results\, based on a joint work with E.E. Zengin on the problem. Then\, I will talk about our ongoing study which is an application\nof the Apery table of the numerical semigroup to determine some properties of its tange nt cone.\n\nDI. STAMATE\, Betti numbers for numerical semigroup rings. Mul tigraded Algebra and Applications\,\n238\, 133-157\, Springer Proceedings in Mathematics and Statistics\, Springer\, Cham 2018.\n LOCATION:https://researchseminars.org/talk/OBAGS/40/ END:VEVENT END:VCALENDAR