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SUMMARY:Foundations of Derived Differential Geometry. Part 2 [MPIM]
DTSTART:20260204T093000Z
DTEND:20260204T110000Z
DTSTAMP:20260420T152700Z
UID:indico-event-1098@math-events.uni-bonn.de
DESCRIPTION:Speakers: Dave Carchedi (George Mason University)\n\nHigher Di
 fferential Geometry Seminar\nDerived differential geometry is the C-infini
 ty counterpart of derived algebraic geometry. The role of affine schemes i
 s played by derived manifolds\, which are geometric objects constructed by
  taking iterative fibered products of smooth manifolds. This can be made p
 recise via a simple universal property for the infinity category of derive
 d manifolds\, proposed by myself and Pelle Steffens. Steffens and I prove 
 moreover that derived manifolds are equivalent to affine derived schemes o
 f finite presentation with respect to the algebraic theory of C-infinity r
 ings. At the same time\, we have constructed a concrete model for derived 
 manifolds using differential graded manifolds\, which have various applica
 tions to mathematical physics. In this talk\, we will explain the above re
 sults precisely\, as well as sketching some of the main ideas behind the p
 roofs.\n\nhttps://math-events.uni-bonn.de/event/1098/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1098/
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