Recent Theoretical Developments in CP Violation in the B System

After a brief review of the present status of the standard methods to extract CKM phases from CP-violating effects in non-leptonic B-decays, an overview of recent theoretical developments in this field is given, including extractions of $\gamma$ from $B\to\pi K$ and $B_{s(d)}\to J/\psi K_S$ decays, a simultaneous determination of $\beta$ and $\gamma$, which is provided by the modes $B_d\to \pi^+ \pi^-$ and $B_s\to K^+ K^-$, and extractions of CKM phases from angular distributions of certain $B_{d,s}$ decays, such as $B_d\to J/\psi \rho^0$ and $B_s\to J/\psi \phi$.