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SUMMARY:COLLOQUIUM   Pierre Bieliavsky "An invitation to the geometry of q
 uantization"
DTSTART:20250925T140000Z
DTEND:20250925T150000Z
DTSTAMP:20260506T093400Z
UID:indico-event-14391@indico.math.cnrs.fr
DESCRIPTION:Speakers: Pierre Bieliavsky (Université catholique de Louvain
 )\n\nThe talk will be addressed to a general audience of mathematicians. I
  will present some differential geometric aspects of quantization and desc
 ribe their involvement in Lie theory\, harmonic analysis and operator alge
 bras. By quantization\, I mean a correspondence which associates to a clas
 sical observable\, i.e. a scalar function on a the phase space  of a phys
 ical system (with a finite number of degree of freedom)\, an operator on a
  certain hilbert space which describe the observable at the quantum level\
 , that is\, when the physical system is considered at the microscopic leve
 l : at a scale where classical  mechanics (symplectic geometry) does not 
 describe its behaviour anymore. By geometry\, I mean the geometry induced 
 by the datum of a linear connection (e.g. geodesics\, curvature and so on)
   on the symplectic manifold constituted by the phase space of our physic
 al system. I will in particular argue that the dynamics of the system ofte
 n yields\, quite canonically\, such a connection\, or rather a family of t
 hose.\n\nhttps://indico.math.cnrs.fr/event/14391/
LOCATION:René Baire (IMB)
URL:https://indico.math.cnrs.fr/event/14391/
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