BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Selma Altınok Bhupal (Hacettepe) DTSTART:20250321T124000Z DTEND:20250321T134000Z DTSTAMP:20260423T021253Z UID:OBAGS/62 DESCRIPTION:Title: T he Algebra of Generalised Splines\nby Selma Altınok Bhupal (Hacettepe ) as part of ODTU-Bilkent Algebraic Geometry Seminars\n\n\nAbstract\nClasi cal splines are piecewise polynomial functions over polyhedral complexes w ith a certain degree of smoothness at the intersections of adjacent faces. They are widely used in applications of different areas\, ranging from ap proximation theory to geometric modelling. Alternativaly\, splines can be interpreted as a collection of polynomial labeling the vertices of a (com pinatorial) graph\, with adjacent vertex-labels differing by the power of an affine line form attacthed to the edge. The concept of splines can be g eneralized to define on graphs with edge labels over arbitrary rings. Such splines are called generalized splines.\n\nIn this talk\, we give a brief description of what generalized splines are on arbitrary garphs and their properties. We explain algebraic geometric and combinatorial motivations behind studying generalized splines. In the rest of the talk\, we mainly focus on the module structure of generalized splines and discuss their bas is.\n LOCATION:https://researchseminars.org/talk/OBAGS/62/ END:VEVENT END:VCALENDAR