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PRODID:-//Memento EPFL//
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SUMMARY:Unstable v1-periodic Homotopy Groups through Goodwillie Calculus
DTSTART:20190923T101500
DTEND:20190923T111500
DTSTAMP:20260920T110352Z
UID:d62d475e5967abf2f1f7a0ed743485287d002e19628c455c7e58c9f6
CATEGORIES:Conferences - Seminars
DESCRIPTION:Jens Kjaer\, EPFL\nIt is a classical result that the rational 
 homotopy groups\, $\\pi_*(X) \\otimes \\mathbb{Q}$\, as a Lie-algebra can 
 be computed in terms of indecomposable elements of the rational cochains o
 n $X$.\nThis result can also be recovered from applying Goodwillie calculu
 s to rational homotopy theory.\nA different simplification of the homotopy
  theory\, is $v_h$-periodic homotopy theory. For $h = 1$ we are able to co
 mpute the K-theory based $v_1$-periodic Goodwillie spectral sequence in te
 rms of derived indecomposables. This allows us to compute $v_1^{-1} \\pi_*
  SU(d)$ in a very different way from the original computation by Davis.
LOCATION:MA A1 10 https://plan.epfl.ch/?room==MA%20A1%2010
STATUS:CONFIRMED
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