The HADES seminar on Tuesday, December 2nd, will be at 3:30pm in Room 740.

Speaker: Xueying Yu

Abstract: Strichartz estimates are fundamental tools for understanding the dispersive behavior of solutions to Schrödinger equations. In particular, bilinear Strichartz estimates provide sharper information by capturing interactions between two waves with different frequencies, which play a key role in many nonlinear problems. In this talk, we will first review several classical bilinear Strichartz estimates for the Schr\”odinger equation, with an emphasis on the strategies used in their proofs. We then present a new bilinear estimate in the setting of Schr\”odinger equations on negatively curved spaces.