Given a metric space $X$, the uniform Roe algebra of $X$ is denoted by $\mathrm{C}^*_u(X)$. Many authors have studied rigidity questions related to isomorphisms between uniform Roe algebras. In this work, we define uniform Roe coronas as the quotient of $\mathrm{C}^*_u(X)$ by the ideal of compact operators, and we study the rigidity question for uniform Roe coronas. As it turned out, under some set theoretical assumptions, it is often the case that isomorphism between uniform Roe coronas implies coarse equivalence of the base metric spaces (this is a joint work with Ilijas Farah and Alessandro Vignati).