BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Calabi-Yau threefolds in P^n and Gorenstein rings. - Hal Schenck\,
  Auburn University
DTSTART:20230517T131500Z
DTEND:20230517T141500Z
UID:TALK197959@talks.cam.ac.uk
CONTACT:Mark Gross
DESCRIPTION:A projectively normal Calabi-Yau threefold X in P^n has an ide
 al I_X\nwhich is arithmetically Gorenstein\, of Castelnuovo-Mumford regula
 rity four.\nSuch CY threefolds have been extensively studied when I_X is a
  complete\nintersection\, as well as in the case where X is codimension th
 ree\; in both\nthese cases the algebra is well understood. We study the si
 tuation in\ncodimension four or more\, by lifting Artinian Gorenstein idea
 ls obtained from\nMacaulay’s inverse systems. This leads to the construc
 tion of CY threefolds\nwith Hodge numbers not previously known to appear. 
 (joint work with M. Stillman\nand B. Yuan).\n
LOCATION:CMS MR13
END:VEVENT
END:VCALENDAR