Does Quantum Gravity constrain Large-Field Inflation?

I will describe the theoretical interest in large-field inflation and its relation to potential future observations, e.g. through primordial gravitational waves. I will outline the possible fundamental obstructions to realizing such inflationary scenarios, both in string theory and in quantum gravity in general. The focus will in particular be on the recent scientific debate in the context of the Weak Gravity Conjecture and Gravitational Instantons, which will both be explained in simple terms.