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A rapid course on generated Jacobian equations

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  • Additional Information
    • Publication Information:
      Banff International Research Station for Mathematical Innovation and Discovery
    • Publication Date:
      2017
    • Collection:
      University of British Columbia: cIRcle - UBC's Information Repository
    • Subject Terms:
      Banff (Alta.)
    • Abstract:
      The general framework for Generated Jacobian Equations (GJE) was first studied in a systematic fashion by Neil Trudinger in 2014, motivated by near field geometric optics problems. These equations involve the prescription of the Jacobian of a transformation derived from a scalar potential, which itself arises as the envelope of a some family of "generating" functions. As such, they also appear in areas such as economics, geometric optics, and optimal transport --which, to use the economic literature terminology, corresponds to the special case of "quasilinear" generating functions. I will discuss these examples as well as the elements of the theory of GJE, and provide a partial overview of the growing literature on the field. ; Non UBC ; Unreviewed ; Author affiliation: University of Massachusetts Amherst ; Researcher
    • File Description:
      53.0; video/mp4
    • Relation:
      17w5078: Generated Jacobian Equations: from Geometric Optics to Economics; BIRS Workshop Lecture Videos (Banff, Alta); BIRS-VIDEO-201704100859-Guillen; BIRS-VIDEO-17w5078-22006; http://hdl.handle.net/2429/68577
    • Online Access:
      http://hdl.handle.net/2429/68577
    • Rights:
      Attribution-NonCommercial-NoDerivatives 4.0 International ; http://creativecommons.org/licenses/by-nc-nd/4.0/
    • Accession Number:
      edsbas.C08D4C52