The APDE seminar on Monday, 11/13, will be given by Thierry Laurens (UW Madison) in-person in Evans 736, and will also be broadcasted online via Zoom from 4:10pm to 5:00pm PST. To participate, please email Federico Pasqualotto (fpasqualotto@berkeley.edu) or Mengxuan Yang (mxyang@math.berkeley.edu).

Title: Sharp well-posedness for the Benjamin–Ono equation

Abstract: We will discuss a sharp well-posedness result for the Benjamin–Ono equation in the class of H^s spaces, on both the line and the circle.  This result was previously unknown on the line, while on the circle it was obtained recently by Gérard, Kappeler, and Topalov.  Our proof features a number of developments in the integrable structure of this system, which also yield many important dividends beyond well-posedness.  This is based on joint work with Rowan Killip and Monica Visan.