Abstract: Around the time that he won the Fields medal ('94) until about 2000, Jean Bourgain made remarkable progress in the theory of well-posedenss and global well-posedness in dispersive PDEs. Paper after paper Professor Bourgain established (for anyone else) career defining results whose effects are still very much felt to this day. In this talk, I want to motivate and go over some of his results from this period with the hope of impressing just how amazing (compared to prior results) some of his work was. The talk will be introductory (in a sense), with the hope of gently kicking off the seminar. As always, there will be cookies.
