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Microlocal Analysis August 12, 2019 to December 13, 2019
Organizers Pierre Albin (University of Illinois at Urbana-Champaign), Nalini Anantharaman (Université de Strasbourg), Kiril Datchev (Purdue University), Raluca Felea (Rochester Institute of Technology), Colin Guillarmou (Université Paris-Saclay), LEAD Andras Vasy (Stanford University)
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Microlocal analysis provides tools for the precise analysis of problems arising in areas such as partial differential equations or integral geometry by working in the phase space, i.e. the cotangent bundle, of the underlying manifold. It has origins in areas such as quantum mechanics and hyperbolic equations, in addition to the development of a general PDE theory, and has expanded tremendously over the last 40 years to the analysis of singular spaces, integral geometry, nonlinear equations, scattering theory… This program will bring together researchers from various parts of the field to facilitate the transfer of ideas, and will also provide a comprehensive introduction to the field for postdocs and graduate students. More Information          
Keywords and Mathematics Subject Classification (MSC)
  • Microlocal analysis

  • elliptic partial differential equations (PDE)

  • hyperbolic PDE

  • Fredholm theory

  • singular spaces

  • hyperbolic dynamical systems

  • scattering theory

  • resonances

  • quantum chaos

  • inverse problems

  • general relativity

  • quantum field theory

  • nonlinear PDE.

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification
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Programmatic Workshops
August 29, 2019 - August 30, 2019 Connections for Women: Microlocal Analysis
September 03, 2019 - September 06, 2019 Introductory Workshop: Microlocal Analysis
October 14, 2019 - October 18, 2019 Recent developments in microlocal analysis