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SUMMARY:Geometry when commutativity fails\, a groupoid approach
DTSTART:20260423T120000Z
DTEND:20260423T140000Z
DTSTAMP:20260611T134100Z
UID:indico-event-16342@indico.math.cnrs.fr
DESCRIPTION:Speakers: Mathis Alleysson (IMT)\n\nA powerful idea in modern 
 geometry is that a space can be encoded by its functions. In this talk\, w
 e begin by recalling this correspondence\, which associates to each topolo
 gical space its commutative algebra of continuous functions. We then intr
 oduce groupoids as a natural generalization of both spaces and groups\, il
 lustrated by examples. To each groupoid\, one can associate an algebra\, w
 hich is\, in general\, noncommutative. This procedure recovers both classi
 cal commutative algebras and some noncommutative examples\, such as matrix
  algebras. If time permits\, we will conclude with a fundamental example a
 t the interface of dynamics and operator algebras: the noncommutative toru
 s\, which captures many of the central ideas of the theory.Despite appeara
 nces\, no prior background in geometry will be assumed.\n\nhttps://indico.
 math.cnrs.fr/event/16342/
LOCATION:Pellos (1R2)
URL:https://indico.math.cnrs.fr/event/16342/
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