BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Winfried Bruns (University of Osnabrueck\, Germany)
DTSTART:20210917T120000Z
DTEND:20210917T130000Z
DTSTAMP:20260423T021005Z
UID:VCAS/100
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VCAS/100/">C
 astelnuovo-Mumford regularity over general base rings</a>\nby Winfried Bru
 ns (University of Osnabrueck\, Germany) as part of IIT Bombay Virtual Comm
 utative Algebra Seminar\n\n\nAbstract\nOur talk has two goals.  The first 
 is  to give a short introduction to Castelnuovo-Mumford regularity for sta
 ndard graded rings over general base rings.  The second is to present a si
 mple and concise proof of a  classical result of Cutkosky\, Herzog and Tru
 ng  and\,  independently\,  Kodiyalam asserting that the regularity of pow
 ers of a homogeneous ideal  is eventually a linear function of the exponen
 t in this generality. Finally we show  how the flexibility  of working ove
 r general base rings can be used to give a simple proof for the characteri
 zation of "linear powers" in terms of the Rees algebra.\n\nThis is joint w
 ork with Aldo Conca and Matteo Varbaro. See "Castelnuovo-Mumford regularit
 y and powers"\, arXiv:2107.14734. An extensive version will be part of the
  forthcoming book "Determinants\, Gröber bases and cohomology" with Conca
 \, Varbaro and Claudiu Raicu.\n
LOCATION:https://researchseminars.org/talk/VCAS/100/
END:VEVENT
END:VCALENDAR