In this seminar we will discuss theoretical constraints on inflationary models, which can be derived from expectations about properties of Quantum Gravity.
We will start by introducing the basics of the inflationary mechanism as well as its UV sensitivity and its observational status. We will then move on to models of Large Field Inflation (LFI), with special focus on the case where the inflaton enjoys a (discrete) shift symmetry. Such framework is known as axion inflation.
We will then introduce some folk theorems about Quantum Gravity, with particular focus on the Weak Gravity Conjecture (WGC), and review their implications for axion inflationary models.
If time allows, we will introduce the mechanism of Axion Monodromy and describe constraints from the WGC as well as peculiar observational signatures.