The Grothendieck Construction for $\mathrm{\infty }$-Categories Fibered over Categorical Patterns

We show how to treat families of $\mathrm{\infty }$-categories fibered in categorical patterns (e.g., $\mathrm{\infty }$-operads and monoidal $\mathrm{\infty }$-categories) in terms of fibrations by relativizing the Grothendieck construction. As applications, we construct an analog of the universal cocartesian fibration and explain how to compute limits and colimits of $\mathrm{\infty }$-categories fibered in categorical patterns.