BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Splittings in incomplete equivariance: from algebra to topology - 
 David Barnes (Queen's University Belfast)
DTSTART:20240619T100000Z
DTEND:20240619T110000Z
UID:TALK217807@talks.cam.ac.uk
DESCRIPTION:Rationally\, genuine G-spectra split as a product of simpler c
 ategories: rational spectra with Weyl group actions. Algebraically\, this 
 is the statement that rational Mackey functors are semi-simple and the cat
 egory splits as a product of module categories with Weyl group actions. A 
 current and developing research theme is incomplete stable equivariant hom
 otopy theory. Classically this meant using G-spectra with an incomplete un
 iverse. In modern language\, incomplete stable equivariant homotopy theory
  means using a transfer system that is not complete. The translation betwe
 en these two viewpoints is via N-infinity operads\, considered as giving t
 he additive structure to G-spectra (rather than then multiplicative struct
 ure).&nbsp\;\nWith that heavyweight motivation given\, the purpose of this
  talk is to describe splittings of rational Mackey functors for incomplete
  transfer systems and discuss how this may extend to the topological setti
 ng. This is joint work with Anna Marie Bohmann\, Magdelena Kedziorek and M
 ike Hill.
LOCATION:External
END:VEVENT
END:VCALENDAR