Thu, December 1, 2022
4:15 pm - 5:15 pm
Hitchcock Hall 324
Title: Lecture 2: Level surface solitons and their differential geometry
Speaker: David Jerison (MIT)
Abstract: In the second lecture, we will describe the differential geometry of level sets starting from what we will call solitons. The simplest soliton is the family of confocal ellipses in the plane. The extrinsic and intrinsic geometry of the level sets is closely related to classical affine geometry in all dimensions.