Complex Functions, Operators, Partial Differential Equations, and Applications in Mathematical Physics

The program will focus on partial differential equations and free boundary problems, operator theory and extremal problems in function spaces, as well as related applications in mathematical physics such as Laplacian growth and gravitational microlensing. We intend for talks to survey these fields and summarize recent developments, as well as present new results and research directions. Part of a day’s session will be devoted to discussions of open problems.