Our last talk in the APDE seminar will be given by Toan Nguyen (Penn State U) on **Monday, Dec. 5th** both **in person at Evans 740 and online** (via Zoom) from **4:10pm to 5:00pm PST**. To participate, email Sung-Jin Oh (sjoh@math.berkeley.edu).

**Title**: The roller coaster through Landau damping

**Abstract**: Of great interest is to address the final state conjecture for the dynamics of charged particles near spatially homogeneous equilibria in a plasma, where particles are transported by the self-consistent electric field generated by the meanfield Coulomb’s interaction. The long-range interaction generates waves that oscillate in time and disperse in space through the dispersion of a Schrodinger type equation, known as plasma oscillations or Langmuir waves. The classical notion of Landau damping refers to the damping of oscillations when particles travel at a resonant speed with the waves. The talk is to address this classical picture for the Vlasov-Poisson system with relativistic or bounded velocities. Based on a joint work with E. Grenier and I. Rodnianski.