The HADES seminar on Tuesday, April 22nd, will be at 3:30pm in Room 740.

Speaker: Robert Schippa

Abstract: We revisit the classical Córdoba-Fefferman square function estimate and give applications to moment inequalities for exponential sums. Next, we extend the CF estimate to higher dimensional manifolds with tangent spaces satisfying a transversality condition. Finally, we show square function estimates for the conical extension by the High-Low method, which in the scalar case is due to Guth-Wang-Zhang.