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SUMMARY:Tepui fibration: Fibrations whose fibers jump dimension and with a
  notion of smoothness [MPIM]
DTSTART:20250820T083000Z
DTEND:20250820T100000Z
DTSTAMP:20260420T150200Z
UID:indico-event-597@math-events.uni-bonn.de
DESCRIPTION:Speakers: Alfonso Garmendia (MPIM)\n\nHigher Differential Geom
 etry Seminar\nWe study smooth maps $p:X->M$ where $M$ is a manifold\, $X$ 
 a diffeological space\, and the fibers of $p$ are manifolds. On such space
 s\, we define a tangent functor that enables us to perform differential ca
 lculus despite the presence of singularities. Our approach is inspired by 
 the work of Androulidakis and Skandalis\, who construct a diffeological gr
 oupoid integrating a singular foliation. The source map of this groupoid g
 ives rise to a space of the kind we consider\, and our tangent functor all
 ows us to recover the original singular foliation from this structure. We 
 also investigate the notion of vector bundles in this context and establis
 h a generalized version of the Serre–Swan theorem adapted to this singul
 ar setting. This is joint work with David Miyamoto and Leonid Ryvkin.\n\nh
 ttps://math-events.uni-bonn.de/event/597/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/597/
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