Title: Non-perturbative time-dependent backgrounds in String Theory
Abstract: Describing the cosmological evolution of the universe is an important open issue in string cosmology. In particular, the physics of the early universe remains singular in the current \Lambda CDM cosmology (and in its inflationary extension), motivating the study of how it can be embedded into string theory. In this seminar, I will review the setup of duality invariant cosmology and how all classical curvature corrections for specific time-dependent backgrounds with matter can be classified. I will then discuss the conditions for a de Sitter solution. If time permits, I will also discuss how the analysis is consistent with M-theory, showing that no perturbative solution is possible in the absence of time-dependent fluxes.