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UID:9124@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20251023T170000
DTEND;TZID=Europe/Paris:20251023T180000
DTSTAMP:20260625T121448Z
URL:https://www.i2m.univ-amu.fr/evenements/the-beautiful-connes-kasparov-i
 somorphism/
SUMMARY:Axel Gastaldi (I2M): The beautiful Connes-Kasparov Isomorphism
DESCRIPTION:Axel Gastaldi: Abstract: Today\, we will overview the powerful
 lness of the Non-Commutative Geometry to solve some Representation Theoret
 ic problems. We will be interested in the representation theories of a Lie
  group and of a maximal compact subgroup of it (like GL_n(R) and O_n(R))\,
  and how they are related.This problem have been historically solved in th
 e 70's using Representation Theory in a really brutal way by Mackey (who c
 omputed everything by hand). In the 2000's Non-Commutative Geometry provid
 ed another approach to this problem via an astonishingly beautiful argumen
 t due to Connes\, Higson and Kasparov that I will present today. This argu
 ment stands as one of the most elegant argument ever and the main purpose 
 of this decade in Non-Commutative Geometry is to generalize it in the most
  possible ways : it is indeed the purpose of my PhD.
CATEGORIES:Séminaire,Rencontres doctorant⋅es I2M-CPT
LOCATION:Luminy - salle 500-504b\, Aix-marseille université-faculté des s
 ciences\, campus Luminy\, Marseille\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Aix-marseille université-f
 aculté des sciences\, campus Luminy\, Marseille\, France;X-APPLE-RADIUS=1
 00;X-TITLE=Luminy - salle 500-504b:geo:0,0
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DTSTART:20250330T030000
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