Dynamical cobordism in string theory and holography

This thesis, written as a compendium of articles, explores the deep interplay between topology, gravity, and quantum field theory in the framework of String Theory, focusing on the dynamical realization of the Cobordism Conjecture. The Cobordism Conjecture posits that any consistent theory of Quantum Gravity must allow for spacetime boundaries, a principle that underpins the diverse investigations presented herein.