Quantum metrology is usually formulated in the local regime, where Fisher information sets the ultimate precision. In this talk I will discuss global and multiphase estimation, where periodicity, finite data, and measurement incompatibility can become important. I will then show how multipartite qudit entanglement provides a natural resource for these tasks. Using collective SU(d) generators and Young-diagram methods, one can classify high-dimensional entanglement structures and derive Fisher-information bounds that certify useful metrological resources.

