Dr. Tianyi Ren ，Peking University

Resolvent estimates are estimates about the operator "(\Delta+z)^-1" where z is a complex number in an appropriate region of the complex plane. They have always been of keen interests in harmonic analysis and partial differential equations. In this talk, I will first give an overview of the history of the development of the subject, and then present a result on resolvent estimates for Schrodinger operators with potentials in Lebesgue spaces.