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SUMMARY:Topology Seminar: The spectrum of equivariant stable homotopy theo
 ry
DTSTART:20171107T101500
DTEND:20171107T111500
DTSTAMP:20260916T212924Z
UID:f5c96b0180ea7e1c96d30a12465c945ed70f0836b80718aed10db0d1
CATEGORIES:Conferences - Seminars
DESCRIPTION:Beren Sanders (EPFL)\nIn this talk\, I will discuss the spectr
 um of the G-equivariant stable homotopy category\, for G a finite group. 
  In joint work with P. Balmer\, we were able to describe this space\, as a
  set\, for all finite groups and gain a lot of information about its topol
 ogy\, obtaining a complete answer for groups of square-free order. We also
  reduced the problem of understanding the topology for arbitrary finite gr
 oups to understanding a specific question about the topology for p-groups.
   Understanding this unresolved question for p-groups boils down to under
 standing an interesting phenomenon --- that the Tate construction performs
  a chromatic "blue shift".  Recently\, T. Barthel\, M.  Hausmann\, N. Na
 umann\, T.  Nikolaus\, J. Noel and N. Stapleton have clarified such behav
 ior\, showing that an earlier "blue shift" conjecture of ours was too naiv
 e\, and have thereby succeeded in computing the spectrum for all finite ab
 elian groups. The task that remains is to find and prove a correct "blue s
 hift" conjecture for nonabelian p-groups.
LOCATION:CM 0 12 https://plan.epfl.ch/?room=CM012
STATUS:CONFIRMED
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