-The inhomegeneous universe
* CMB anisotropies and large scale structures
* Horizon and flatness problem, the origin of inhomogeneities
- Theory of cosmological perturbations
* Gauge invariance, decomposition Scalar- Vector-Tensor
* Perturbed metric and Einstein equations
* Density fluctuations, evolution and power spectrum
- Cosmic microwave background anisotropies * Photon propagation
* Perturbed Boltzmann equation
* Angular power spectrum
* Initial conditions and cosmological parameter estimation