BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Liana Sega (University of Missouri-Kansas City) DTSTART:20210211T220000Z DTEND:20210211T233000Z DTSTAMP:20260423T052954Z UID:FOTR/37 DESCRIPTION:Title: Si mplicial resolutions of powers of square-free monomial ideals\nby Lian a Sega (University of Missouri-Kansas City) as part of Fellowship of the R ing\n\n\nAbstract\nA free resolution of an ideal I generated by p monomial s can be described using the simplicial chain maps of a simplex on p verti ces. This resolution is called the Taylor resolution of the ideal and was constructed by Diana Taylor in her thesis (1966). Work of Bayer\, Peeva an d Sturmfels further established a criterion for deciding whether the simpl icial chain maps of a smaller simplicial complex on p vertices describes a free resolution of I\, and since then there has been a significant amoun t of work on trimming down the Taylor resolution to simplicial resolutions that are minimal (for certain classes of ideals) or closer to being minim al. In this talk we will discuss a class of simplicial complexes\, indexe d by the positive integers\, where the r-th complex in this class supports a resolution of the r-th power of I^r\, where I is a square-free monomial ideal.\n \nThis work is joint with Susan Cooper\, Sabine El Khoury\, Sara Faridi\, Sara Mayes-Tang\, Susan Morey\, and Sandra Spiroff\, and was sta rted at the "Women in Commutative Algebra" workshop in Banff\, 2019.\n LOCATION:https://researchseminars.org/talk/FOTR/37/ END:VEVENT END:VCALENDAR