Multiple field ultraslow-roll inflation: Primordial black holes from straight bulk and distorted boundary

We study a model of two-field ultra-slow-roll (USR) inflation bounded by curve in the field space. Curvature perturbations and non-Gaussianities can be enhanced both during USR phase from inhomogeneities at boundary. employ full non-linear $\delta N$ formalism to calculate probability distribution function (PDF) for curvature perturbation non-perturbatively show that effects significantly enhance abundance primordial black holes (PBHs). For large perturbations, PDF has universal exponential tail, but intermediate values, -- and, therefore, PBHs depend sensitively on geometry