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DESCRIPTIONIn Inverse Problems the goal is to determine the properties of the interior of an object from the object response measured on the boundary, when the object is probed by electrical, acoustic or other means. Such problems arise in medical imaging, oil exploration, non-destructive testing and other fields. Determining the object properties corresponds to finding the non-constant coefficients of a partial differential equation (PDE) from the values, on the boundary of the region, of the solutions of the PDE. These problems may also be interpreted as the inversion of non-linear maps or transforms. The solution of these inverse problems requires harmonic analysis, PDE theory, numerical methods for PDEs, and custom designed inversion transforms and schemes.WHO MAY APPLYFaculty members, scientists, post-doctoral fellows and Ph.D. students in mathematics, engineering and related fields and who are interested in inverse problems may apply. Motivated Master's and Bachelor's students ma...

DESCRIPTIONIn Inverse Problems the goal is to determine the properties of the interior of an object from the object response measured on the boundary, when the object is probed by electrical, acoustic or other means. Such problems arise in medical imaging, oil exploration, non-destructive testing and other fields. Determining the object properties corresponds to finding the non-constant coefficients of a partial differential equation (PDE) from the values, on the boundary of the region, of the solutions of the PDE. These problems may also be interpreted as the inversion of non-linear maps or transforms. The solution of these inverse problems requires harmonic analysis, PDE theory, numerical methods for PDEs, and custom designed inversion transforms and schemes.WHO MAY APPLYFaculty members, scientists, post-doctoral fellows and Ph.D. students in mathematics, engineering and related fields and who are interested in inverse problems may apply. Motivated Master's and Bachelor's students ma...

The aim of this program is to focus on the p-adic aspects of modular forms and related topics. The program consists of two components, an instructional workshop followed by a discussion meeting. There will be several mini-courses in the workshop that will focus on two broad themes. There will be introductory lectures on p-adic families of automorphic forms with some modularity lifting applications in mind. Another set of lectures will focus on the construction of p-adic L-functions in various situations and its applications.The final part of the program will be a three day discussion meeting in which the state of current research in these topics will be discussed.