BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:On proper splinters in positive characteristic - Charles Vial\, Un
 iversität Bielefeld
DTSTART:20251112T141500Z
DTEND:20251112T151500Z
UID:TALK238564@talks.cam.ac.uk
CONTACT:Dhruv Ranganathan
DESCRIPTION:A commutative ring is called a splinter if any finite-module r
 ing extension splits. By the direct summand conjecture\, now a theorem due
  to André\, every regular ring is a splinter. The notion of splinter can 
 naturally be extended to schemes. In that context\, a scheme in characteri
 stic zero is a splinter if and only if it is normal. In contrast\, Bhatt o
 bserved in his thesis that the splinter property for proper schemes in pos
 itive characteristic imposes strong constraints on the global geometry\; f
 or instance\, the structure sheaf of a proper splinter in positive charact
 eristic has vanishing positive-degree cohomology.\nI will report on joint 
 work with Johannes Krah where we describe further restrictions on the glob
 al geometry of proper splinters in positive characteristic\, and where we 
 also address the derived-invariance of the (derived-)splinter property.
LOCATION:CMS MR13
END:VEVENT
END:VCALENDAR