Title: Harmonic analysis (with a little taste of geometry)
Abstract: I will give a brief survey about some recent work I have
my collaborators. The main dishes will be from harmonic analysis,
see a little trace of geometry on the sides. Some ingredients we
pseudodifferential operators, Carleson operators and
inequalities. Towards the end of the talk, we will discuss some
wave equations that exhibit conformal invariance. These are joint
Elias Stein, Lillian Pierce, Yi Wang and Sagun Chanillo.