CANARY ISLANDS WINTER SCHOOL OF ASTROPHYSICS
"The Cosmic Microwave Background: from quantum fluctuations to the present Universe "
de Astrofísica de Canarias
Puerto de la Cruz,Tenerife, Canary Islands (Spain)
November 19th - 30th, 2007
Raúl Jiménez, Institute for Space Sciences, SPAIN.
Rod D. Davies, University of Manchester, UK.
José Alberto Rubiño-Martín, IAC, Tenerife, Spain
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 quasi-de Sitter stage.
- Classical evolution of scalar and tensor modes.
- Lecture 3.
- Generation of scalar and tensor modes from quantum vacuum oscillations.
- Power-spectrum of scalar and tensor modes and slow-roll parameters.
- Lecture 4.
- Beyond linear perturbations.
- Beyond the power-spectrum: higher-order statistics and primordial non-Gaussianity.
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 pre-recombination plasma
- Acoustic peaks in the temperature anisotropy
- Peak position and angular diameter distance
- Lecture 2. Acoustic Dynamics.
- Sachs-Wolfe effect
- Baryon loading and the second peak
- Matter-radiation 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 ground-based experiments
CMB fluctuations in the post-recombination Universe.
Matthias Bartelmann, ITA, Heidelberg, GERMANY
- Lecture 1. Clusters of galaxies and the Sunyaev-Zel'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 Sachs-Wolfe and Rees-Sciama effects
- Higher-order 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 ground-based 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.
- Non-parametric or minimally parametric methods.
Enrique Martínez González, IFCA, SPAIN
- Lecture 1. The isotropic Gaussian random field.
- Lecture 2. Physical effects producing deviations from Gaussianity.
- Secondary anisotropies.
- Non-standard models of the early universe
- Non-standard geometry and topology.
- Lecture 3. Methods to test Gaussianity.
- Real space
- Harmonic space
- Wavelets and filters
- Lecture 4. Review of observations.
- Constraints on non-Gaussianity
- 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. Time-scales, 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.
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.