| Date | Topic | References | Speaker |
| 09/03 | Organizational Meeting | ||
| 09/10 | No Talk | ||
| 09/17 | Existence, uniqueness and symmetry of solitons | [Tao '06] | Robert |
| 09/24 | Orbital stability via variational approach | [Grillakis-Shatah-Strauss '87, Cazenave-Lions '82] | Daniel |
| 10/01 | Normal form transformation and vector field method for Klein-Gordon | [Shatah '85, Klainerman '87] | Ning |
| 10/08 | Classical modulation theory | [Stuart '01] | Tom |
| 10/15 | Asymptotic stability of KdV | [Pego-Weinstein '94] | Ely |
| 10/22 | Kink stability - (distorted) Fourier transform | [Lindblad-Lührmann-Schlag-Soffer '23, Lührmann-Schlag '23] | Ryan |
| 10/29 | Topological solitons of harmonic map heat flow, Schrodinger map | [Gustafson-Nakanishi-Tsai '10] | Jason |
| 11/05 | Construction of multi-soliton solutions for semilinear equations in dimension 3 | Istvan Kadar (external speaker) | |
| 11/12 | No talk | ||
| 11/19 | Kink stability - virial/energy methods | [Kowalczyk-Martel-Muñoz '17, Kowalczyk-Martel '22] | Yuchen |
| 12/16(TBD) | Geodesic hypothesis | [Stuart '04, Stuart '04, Yang '14] | Federico & Ning |