BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Elisa Gorla (University of Neuchatel) DTSTART:20210204T213000Z DTEND:20210204T230000Z DTSTAMP:20260423T021407Z UID:FOTR/36 DESCRIPTION:Title: Id eals with a radical generic initial ideal\nby Elisa Gorla (University of Neuchatel) as part of Fellowship of the Ring\n\n\nAbstract\nThe choice of a term order allows us to associate to any ideal I a monomial ideal\, c alled the initial ideal of I. The initial ideal of I depends not only on t he choice of a term order\, but also on the system of coordinates. Neverth eless\, many properties of I can be inferred from those of its initial ide al(s). For a given term order and in a generic coordinate system\, however \, the initial ideal of I is always the same and it is then called the gen eric initial ideal of I. In my talk\, I will introduce a family of ideals whose generic initial ideal is independent of the choice of both the term order and of the system of coordinates. These are exactly the multigraded homogeneous ideals which have a radical generic initial ideal. Multigraded ideals which have a radical generic initial ideal show interesting rigidi ty properties\, which e.g. allow us to deduce information on their univers al Groebner bases. In the talk\, I will present examples of ideals which b elong to this class and of what we can deduce about them using this machin ery. The original work in the talk is joint with Aldo Conca and Emanuela D e Negri.\n LOCATION:https://researchseminars.org/talk/FOTR/36/ END:VEVENT END:VCALENDAR