Recent progress on completely integrable systems

Series
Job Candidate Talk
Time
Tuesday, February 18, 2025 - 11:00am for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Monica Visan – UCLA – visan@math.ucla.eduhttps://www.math.ucla.edu/~visan/
Organizer
Gong Chen, Ronghua Pan, Chongchun Zeng

 We will survey a number of recent developments in the theory of completely integrable nonlinear dispersive PDE.  These include a priori bounds, orbital stability of multisolitons, well-posedness at optimal regularity, and the existence of dynamics for Gibbs distributed initial data. I will describe the basic objects that tie together these disparate results, as well as the diverse ideas required for each problem.