Correlators and the amplituhedron

N = 4 super Yang-Mills is the most symmetric of all four-dimensional quantum field theories. The simplest local operators in this theory are the so-called half-BPS operators. Correlators of these operators play a key role in the AdS/CFT correspondence and impact many key areas in current theoretical physics. In a certain limit, they relate to amplitudes through the so-called correlator/amplitude duality. On the other hand amplitudes in N=4 can be computed from the amplituhedron, a geometrical object whose boundaries encode the singularity structure of the amplitude. In this talk, I will review recent progress in building a geometrical analogue of the amplituhedron for correlators, named the correlahedron, by studying the correlator/amplitude duality. The talk is based on arXiv:2106.09372.