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SUMMARY:Christian Blohmann (MPIM Bonn)
DTSTART:20230207T213000Z
DTEND:20230207T230000Z
DTSTAMP:20260422T174122Z
UID:tandg/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/tandg/1/">El
 astic diffeological spaces</a>\nby Christian Blohmann (MPIM Bonn) as part 
 of Topology and Geometry Seminar (Texas\, Kansas)\n\n\nAbstract\nI will in
 troduce a class of diffeological spaces\, called elastic\, on which the le
 ft Kan extension of the tangent functor of smooth manifolds defines an abs
 tract tangent functor in the sense of Rosický. On elastic spaces there is
  a natural Cartan calculus\, consisting of vector fields and differential 
 forms\, together with the Lie bracket\, de Rham differential\, inner deriv
 ative\, and Lie derivative\, satisfying the usual graded commutation relat
 ions. Elastic spaces are closed under arbitrary coproducts\, finite produc
 ts\, and retracts. Examples include manifolds with corners and cusps\, dif
 feological groups and diffeological vector spaces with a mild extra condit
 ion\, mapping spaces between smooth manifolds\, and spaces of sections of 
 smooth fiber bundles.\n
LOCATION:https://researchseminars.org/talk/tandg/1/
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