BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Lisa Nicklasson (Stockholm University) DTSTART:20200416T150000Z DTEND:20200416T153000Z DTSTAMP:20260423T004825Z UID:NASO/4 DESCRIPTION:Title: Sub algebras of a polynomial ring with minimal Hilbert function\nby Lisa N icklasson (Stockholm University) as part of Max Planck Institute nonlinear algebra seminar online\n\n\nAbstract\nIn a recent paper by Boij and Conca the upper and lower bounds for the Hilbert function of subalgebras of a p olynomial ring are discussed. In this talk we will study subalgebras gener ated in degree two with minimal Hilbert function. These subalgebras are ge nerated by strongly stable sets of monomials. To minimize the Hilbert func tion we want to firstly minimize the numbers of variables\, and secondly t he multiplicity of the algebra. This boils down to a purely combinatorial problem\, as the multiplicity can be computed by counting the number of ma ximal north-east lattice paths in an diagram representing the strongly sta ble set.\n LOCATION:https://researchseminars.org/talk/NASO/4/ END:VEVENT END:VCALENDAR