BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Vaibhav Pandey (Purdue University\, West Lafayette\, IN\, USA) DTSTART:20230303T130000Z DTEND:20230303T140000Z DTSTAMP:20260423T021054Z UID:VCAS/164 DESCRIPTION:Title: L inkage and F-regularity of generic determinantal rings\nby Vaibhav Pan dey (Purdue University\, West Lafayette\, IN\, USA) as part of IIT Bombay Virtual Commutative Algebra Seminar\n\n\nAbstract\nWe prove that the gener ic link of a generic determinantal ring of maximal minors is strongly F-re gular\, hence it has rational singularities. In the process\, we strengthe n a result of Chardin and Ulrich. They showed that the generic residual in tersections of a complete intersection ring with rational singularities ag ain have rational singularities. We show that they are\, in fact\, strongl y F-regular. \n\nIn the mid 1990s\, Hochster and Huneke showed that generi c determinantal rings are strongly F-regular\; however\, their proof is qu ite involved. The techniques that we discuss will allow us to give a new a nd simple proof of the strong F-regularity of generic determinantal rings defined by maximal minors. Time permitting\, we will also share a new proo f of the strong F-regularity of determinantal rings defined by minors of a ny size. This is joint work with Yevgeniya Tarasova.\n LOCATION:https://researchseminars.org/talk/VCAS/164/ END:VEVENT END:VCALENDAR