The HADES seminar on Tuesday, **February 13th**, will be at **3:30pm** in **Room 939.**

**Speaker**: Dongxiao Yu

**Abstract**: I will discuss the long time dynamics of a scalar quasilinear wave equation in three space dimensions. This equation satisfies the weak null condition and has global existence for sufficiently small $C_c^\infty$ initial data. In the talk, I will first present an asymptotic completeness result which describes the asymptotic behavior of global solutions to the scalar quasilinear wave equation near the light cone ($|x|\approx t$). Then, I will discuss a work in progress on the asymptotic behavior inside the light cone ($|x|\ll t$).