BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Alexandra Seceleanu (University of Nebraska) DTSTART:20200716T203000Z DTEND:20200716T220000Z DTSTAMP:20260423T021440Z UID:FOTR/13 DESCRIPTION:Title: Re flection arrangements\, syzygies\, and the containment problem\nby Ale xandra Seceleanu (University of Nebraska) as part of Fellowship of the Rin g\n\n\nAbstract\nInvariant theory\, that is the art of finding polynomials invariant under the action of a given group\, has played a major role in the historical development of commutative algebra. In this theory reflecti on groups are singled out for having rings of invariants that are isomorph ic to polynomial rings. From a geometric perspective\, reflection groups g ive rise to beautiful and very symmetric arrangements of hyperplanes terme d reflection arrangements.\n\nThis talk will take a close look at the idea ls defining the singular loci of reflection arrangements\, which are in tu rn symmetric subspace arrangements. We describe their syzygies in terms of invariant polynomials for the relevant reflection groups. We leverage thi s information to settle many aspects of the containment problem asking for containments between the ordinary and the symbolic powers of the ideals i n this family. This talk is based on joint work with Ben Drabkin.\n LOCATION:https://researchseminars.org/talk/FOTR/13/ END:VEVENT END:VCALENDAR