# Program

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)**

**Tags/Keywords**

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**

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 |