Intensive Lecture : Inflationary universe and cosmological perturbations
352
Science Hall
Part I: Background and Inflation
We start from homogeneous and isotropic cosmology, identify the conceptual problems of the standard hot big-bang model, and introduce inflation as a dynamical mechanism that solves them.
Part II: Linear Perturbation Theory
We develop the perturbative framework: metric perturbations, gauge transformations, matter perturbations, and gauge-invariant curvature perturbations. The goal is to understand what quantity is physically meaningful and conserved.
Part III: Superhorizon Evolution
We introduce the separate universe approach and delta N formalism.
Part IV: Primordial Power Spectra
We define the power spectrum, discuss scalar and tensor perturbations, and derive the primordial spectra from quantum fluctuations during inflation.