Featured Speaker: Shaoming Guo (U Wisconsin, Madison)

Title: A dichotomy for Hormander-type oscillatory integral operators

Abstract:  Hormander 1973 proposed to study a generalized Fourier extension operator, and asked whether the generalized operator satisfies the same L p bounds as that of the standard Fourier extension operator. Surprisingly, Bourgain 1991 gave a negative answer to Hormander’s question. In this talk, I will discuss a modification of Hormander’s question whose answer may be affirmative. This is a joint work with Hong Wang and Ruixiang
Zhang.