XIIth School of Cosmology
September 15 - 20, 2014IESC, Cargèse
their impact in the study of galaxies and

Inflation at the era of precision cosmology

Institut d'Astrophysique de Paris (IAP)


  1. Inflationary cosmological perturbations of quantum-mechanical origin
  2. Constraints on Inflation from Planck & BICEP2


The inflationary scenario is currently considered to be the most promising paradigm to describe the origin of the perturbations in the early universe. It corresponds to a period of accelerated expansion before the hot Big Bang phase. Inflation is typically achieved using scalar fields, and it is the quantum fluctuations associated with the scalar fields that are responsible for the creation of the primordial perturbations. The perturbations generated during inflation leave their signatures as anisotropies in the Cosmic Microwave Background (CMB). With the CMB anisotropies being measured to greater and greater precision, we are presently in an unprecedented situation of being able to arrive at strong constraints on the physics of the early universe. In these two hours lectures, I first review the theory of inflationary perturbations and then, using the results obtained in the first lecture, I describe the implications of the recently released Planck & BICEP2 data for inflation


  • Articles
    • "Encylopedia Inflationaris"
      J. Martin, C. Ringeval and V. Vennin, to appear in Journal of the dark universe [arXiv:1303.3787]
    • "The Best Inflationary Models after Planck"
      J. Martin, C. Ringeval, R. Trotta and V. Vennin, JCAP1403, 039, 2014,[arXiv:1312.3529]
    • "K-inflationary Power Spectra at Second Order"
      J. Martin, C. Ringeval and V. Vennin, JCAP1306, 021, 2013, [arXiv:1303.2120].
    • "Inflationary Perturbations: The Cosmological Schwinger Effect"
      J. Martin, Lec. Notes Phys. 738, 193-241, 2008, [arXiv:0704.3540]
    • "Inflationary cosmological perturbations of quantum-mechanical origin"
      J. Martin, Lec. Notes Phys. 669, 199-244, 2004,[hep-th/0406011]