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SUMMARY:Costabilisation of vₙ-Periodic Homotopy Types
DTSTART:20220426T101500
DTEND:20220426T111500
DTSTAMP:20260505T010219Z
UID:643e11abec14bfdb6bc2a00d20b75cb631012c19047117c91d1c2fb1
CATEGORIES:Conferences - Seminars
DESCRIPTION:Yuqing Shi\, Universiteit Utrecht\nOne can consider the stabil
 isation of a symmetric monoidal ∞-category as the ∞-category of object
 s that admit an infinite delooping. For example\, the ∞-category of spec
 tra is the stabilisation of the ∞-category of homotopy types. Costabilis
 ation is the opposite notion of stabilisation\, where we are interested in
  objects that admits infinite desuspensions. It is easy to see that the co
 stablisation of the ∞-category of homotopy types is trivial. The ∞-cat
 egory of  vₙ-periodic homotopy types is a localisation of the ∞-categ
 ory of homotopy types which is the analogue of rational localisation in hi
 gher chromatic height. In this work we showed that the costabilisation of 
 vₙ-periodic homotopy types is the ∞-category of T(n)-local spectra. As
  a consequence\, we obtain the universal property of the Bousfield–Kuhn 
 functor. This is a joint work with Gijs Heuts.
LOCATION:MA A3 30 https://plan.epfl.ch/?room==MA%20A3%2030
STATUS:CONFIRMED
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