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SUMMARY:Jyotishman Bhowmick (ISI Kolkata)
DTSTART:20200923T113000Z
DTEND:20200923T130000Z
DTSTAMP:20260423T052711Z
UID:WOTOA/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WOTOA/5/">Me
 tric-compatible connections in noncommutative geometry</a>\nby Jyotishman 
 Bhowmick (ISI Kolkata) as part of Webinars on Operator Theory and Operator
  Algebras\n\n\nAbstract\nLevi-Civita's theorem in Riemannian geometry stat
 es that if $(M\, g)$ is a Riemannian manifold\, then there exists a unique
  connection on $M$ which is torsionless and compatible with $g$. The curva
 ture of the manifold is then computed from this particular connection. \n\
 nWe will try to explain the notions to state and prove Levi-Civita's theor
 em in the context of a noncommutative differential calculus.  In particula
 r\, we will describe two notions of metric-compatibility of a connection. 
 The talk will be based on joint works with D. Goswami\, S. Joardar\, G. La
 ndi and S. Mukhopadhyay.\n\nThe geometric notions appearing in the lecture
  will be defined and explained in the beginning.\n
LOCATION:https://researchseminars.org/talk/WOTOA/5/
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