Title: Some sharp $L^\infty\times L^\infty\times L^\infty$ estimates
Abstract: The goal of this talk is to present some recent progress (joint with P.T. Gressman) in the $L^\infty\times L^\infty\times L^\infty$-estimates for the following trilinear oscillatory integral form <br />\[<br />\int_{\mathbb R}\int_{\mathbb R} e^{i\lambda S(x,y)} \phi (x,y)f(x) g(y)h(x+y) dx dy. <br />\] Sharp bilinear estimates will also be discussed here.