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This conference will be held from September 17-22, 2018, at the Wechloy Campus at the Carl von Ossietzky University Oldenburg. The workshop aims to bring together experts working on the geometric aspects of partial differential equations, and their applications in mathematical physics. Young researchers are particularly encouraged to attend. Limited financial support is available (please contact the organizers). Organizing Committee: Daniel Grieser, Boris Vertman, Rafe Mazzeo (Stanford), Nicolai Reshetikhin (Berkeley).