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SUMMARY:An attempt on the classification of unstable Adams operations for 
 p-local compact groups
DTSTART:20150610T101500
DTEND:20150610T113000
DTSTAMP:20260505T063636Z
UID:257f7ebac8172fcf050814855a13edb461c4b02612db3369451cc970
CATEGORIES:Conferences - Seminars
DESCRIPTION:Ran Levi (Aberdeen)\nA p-local compact group is an algebraic o
 bject modelled on the homotopy theory associated with p-completed classify
 ing spaces of compact Lie groups and p-compact groups. In particular p-loc
 al compact groups give a unified framework in which one may study p-comple
 ted classifying spaces from an algebraic and homotopy theoretic point of v
 iew. Like compact Lie groups and p-compact groups\, p-local compact groups
  admit ``unstable Adams operations”\, i.e. certain self equivalences of 
 their algebraic structure which give rise to self homotopy equivalences of
  their classifying spaces\, and are characterised by their effect on p-adi
 c cohomology. Similarly to the classical case\, unstable Adams operations 
 are considered to be a very useful and important family of maps. For insta
 nce\, their existence was used by Gonzalez to express p-local compact grou
 ps as colimits of certain finite approximations. However\, for a given p-l
 ocal compact group and a given p-adic degree\, the question whether an uns
 table Adams operation of that degree exists\, and if it does whether it is
  unique up to homotopy\, is not well understood. In this talk\, based  on
  a joint project with Assaf Libman\, I will report on  recent progress on
  these and related questions.
LOCATION:TBA
STATUS:CONFIRMED
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