








Tutorials.
Raúl Jiménez, Institute for Space Sciences, SPAIN.
Rod D. Davies, University of Manchester, UK.
José Alberto RubiñoMartín, IAC, Tenerife, Spain
Detailed programme
The detailed programme for each series of lectures will cover the following topics.
The Inflationary Universe
Sabino Matarrese, Universita' di Padova, ITALY
 Lecture 1.
 Kinematical properties of Inflation.
 Scalar field dynamics and Inflationary models.
 Lecture 2.
 Perturbation theory in a quaside Sitter stage.
 Classical evolution of scalar and tensor modes.
 Lecture 3.
 Generation of scalar and tensor modes from quantum vacuum oscillations.
 Powerspectrum of scalar and tensor modes and slowroll parameters.
 Lecture 4.
 Beyond linear perturbations.
 Beyond the powerspectrum: higherorder statistics and primordial nonGaussianity.
Theory of primordial CMB anisotropies: temperature and polarization.
Wayne Hu, University of Chicago, USA
 Lecture 1. A Brief Thermal History & Acoustic Kinematics.
 Thermalization and recombination
 Acoustic waves in the prerecombination plasma
 Acoustic peaks in the temperature anisotropy
 Peak position and angular diameter distance
 Lecture 2. Acoustic Dynamics.
 SachsWolfe effect
 Baryon loading and the second peak
 Matterradiation ratio and the third peak
 Damping tail
 Lecture 3. Polarization.
 Polarization from thomson scattering
 Reionization and Polarization peaks
 Gravitational waves
 Gravitational lensing
 Lecture 4. Formalism and Codes.
 Linear perturbation theory
 Boltzmann equation
 Integral solution
 Compton collision term
CMB observations and cosmological constraints.
Bruce Partridge. Haverford College, USA
 Lecture 1. A Bit of History, then Spectral Measurements of the CMB
 The blackbody spectrum
 Overall temperature T0
 Limits on distortions of the spectrum
 Lecture 2. Large Scale Anisotropies of the CMB
 Problems of doing large scale anisotropy observations from the ground.
 Observations of values of l from 2 to ~300.
 Lecture 3. Smaller Scale Isotropy Measurements.
 Observations at small scales.
 Lecture 4. Polarization and the Future.
 Measurements and upper limits on polarization
 Importance of B modes.
 Plans for future space experiments and groundbased experiments
CMB fluctuations in the postrecombination Universe.
Matthias Bartelmann, ITA, Heidelberg, GERMANY
 Lecture 1. Clusters of galaxies and the SunyaevZel'dovich effect.
 Origin and consequences of the thermal and kinetic SZ effects
 Simple estimates and expectations
 Filtering techniques for cluster detection
 Lecture 2. Gravitational lensing and the CMB (I).
 Principles of gravitational lensing
 Light propagation in an inhomogeneous universe
 Statistics of the deflection angle
 Lecture 3. Gravitational lensing and the CMB (II).
 Expected effects on the CMB
 Temperature and polarisation power spectra
 Recovery of the deflection field
 Lecture 4. Reionisation and other effects.
 Reionisation, damping and polarisation
 Integrated SachsWolfe and ReesSciama effects
 Higherorder effects
Galactic and extragalactic foregrounds.
Rod D. Davies, University of Manchester, UK
Topics to be covered: Synchrotron and free emission, dust emission (thermal and spinning dust), radiosources and IR galaxies, impact of foregrounds on future CMB space and groundbased experiments.
Statistical techniques for data analysis in Cosmology.
Licia Verde, University of Pennsylvania, USA
 Lecture 1. Background.
 Probability, Bayesian approach, likelihoods, chisquare, priors.
 Introduction to evidence.
 Lecture 2. Statistical description of random fields.
 Applications for both CMB and large scale structure.
 Real world examples.
 Lecture 3. Monte Carlo Markov Chains.
 Set up, implementation, post processing, adding priors.
 The CMB example (including likelihood calculation).
 Lecture 4. Forecasts.
 The Fisher matrix approach its applications and limitations.
 Nonparametric or minimally parametric methods.
Gaussianity.
Enrique Martínez González, IFCA, SPAIN
 Lecture 1. The isotropic Gaussian random field.
 Definition
 Properties
 Lecture 2. Physical effects producing deviations from Gaussianity.
 Secondary anisotropies.
 Nonstandard models of the early universe
 Nonstandard geometry and topology.
 Lecture 3. Methods to test Gaussianity.
 Real space
 Harmonic space
 Wavelets and filters
 Lecture 4. Review of observations.
 Constraints on nonGaussianity
 WMAP anomalies
 Future perspectives
Other probes in Fundamental Cosmology.
Malcolm Longair, University of Cambridge, UK
 Lecture 1. The fundamentals of cosmological models.
 Isotropy and homogeneity tests, variation of the constants of nature, how good is general relativity? the underlying structure of cosmological models. Inhomogeneous models.
 Lecture 2. Observations in cosmology (I).
 All the other cosmological tests. The search for inconsistencies. Timescales, abundances of the light elements, estimates of mass densities, gravitational lensing, etc.
 Lecture 3. Observations in cosmology (II).
 Superluminal expansions in the standard models. Review of the fundamental problems in their modern context.
 Lecture 4. Future possibilities.
 The forward projection of all the other approaches to observational cosmology.
Tutorials.
Raúl Jiménez, Institute for Space Sciences, Spain
 Tutorial I. From a cosmological model to a CMB map.
 Tutorial II. From observational CMB data to the cosmological constraints.
 Tutorial III. A tour around the Galaxy. Foregrounds.