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SUMMARY:John Greenlees (University of Warwick\, UK)
DTSTART:20201119T120000Z
DTEND:20201119T130000Z
DTSTAMP:20260423T022932Z
UID:LAGOON/22
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGOON/22/">
 The singularity category of C^*(BG)</a>\nby John Greenlees (University of 
 Warwick\, UK) as part of Longitudinal Algebra and Geometry Open ONline Sem
 inar (LAGOON)\n\n\nAbstract\n[joint work with G.Stevenson and D.Benson] Fo
 r an ordinary commutative Noetherian ring R we would define the singularit
 y category to be the quotient of the (derived category of) finitely genera
 ted modules modulo the (derived category of) fg projective modules [``the 
 bounded derived category modulo compact objects’’].  For a ring spectr
 um like C^*(BG) (coefficients in a field of characteristic p) it is easy t
 o define the module category and the compact objects\, but finitely genera
 ted objects need a new definition. The talk will describe the definition a
 nd show that the singularity category is trivial exactly when G is p-nilpo
 tent. We will go on to describe the singularity category for groups with c
 yclic Sylow p-subgroup.\n\nMeeting Link\nThursday 19th  November 2020\, 12
 :00 – 13:00 (GMT)\nhttps://us02web.zoom.us/j/89958893469?pwd=aWFWQXZnMXc
 zUFdJc282bWx3bE5Idz09\nMeeting ID: 899 5889 3469\nPasscode: Lagoon\n
LOCATION:https://researchseminars.org/talk/LAGOON/22/
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