BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Eloísa Grifo (University of California\, Riverside) DTSTART:20200528T203000Z DTEND:20200528T220000Z DTSTAMP:20260423T021407Z UID:FOTR/6 DESCRIPTION:Title: Sym bolic powers\, stable containments\, and degree bounds\nby Eloísa Gri fo (University of California\, Riverside) as part of Fellowship of the Rin g\n\n\nAbstract\nWhat's the smallest degree of a homogeneous polynomial th at vanishes to order n on a given finite set of points\, or more generally on some algebraic variety in projective space? A classical result of Zari ski and Nagata tells us the set of such polynomials is the nth symbolic po wer of the ideal I corresponding to our variety. To bound degrees of eleme nts in the symbolic powers of I\, we can look for containments between sym bolic powers and other better understood ideals\, such as powers of I. We will take a tour through the history of the containment problem and some o f its variations\, with an eye towards lower bounds for degrees of symboli c powers. Our story will include joint work with Craig Huneke and Vivek Mu kundan\, and with Sankhaneel Bisui\, Tài Huy Hà\, and Thái Thành Nguy ễn.\n LOCATION:https://researchseminars.org/talk/FOTR/6/ END:VEVENT END:VCALENDAR