|| Title: Does inflation produce enough primordial black holes to explain the dark matter? ||

Abstract: I will discuss the inflationary side of the primordial black hole dark matter story. I will show why in single-field inflation, slow-roll conditions must be violated for PBH production to occur. I will discuss the leading single-field model which can produce PBHs, known as Ultra Slow-Roll, and show how it breaks much of the common intuition we have about inflation. I will explore whether it is easier to produce PBHs with an additional spectator field during inflation, and in particular study the case where the spectator field is the Standard Model Higgs. ||