Abstract

This program will bring together researchers representing the breadth of modern Harmonic Analysis and will seek to capitalize on and continue recent progress in four major directions: -Restriction, Kakeya, and Geometric Incidence Problems -Analysis on Nonhomogeneous Spaces -Weighted Norm Inequalities -Quantitative Rectifiability and Elliptic PDE. Many of these areas draw techniques from or have applications to other fields of mathematics, such as analytic number theory, partial differential equations, combinatorics, and geometric measure theory. In particular, we expect a lively interaction with the concurrent program (see website for more details).