TY - JOUR AB - We prove that the local eigenvalue statistics of real symmetric Wigner-type matrices near the cusp points of the eigenvalue density are universal. Together with the companion paper [arXiv:1809.03971], which proves the same result for the complex Hermitian symmetry class, this completes the last remaining case of the Wigner-Dyson-Mehta universality conjecture after bulk and edge universalities have been established in the last years. We extend the recent Dyson Brownian motion analysis at the edge [arXiv:1712.03881] to the cusp regime using the optimal local law from [arXiv:1809.03971] and the accurate local shape analysis of the density from [arXiv:1506.05095, arXiv:1804.07752]. We also present a PDE-based method to improve the estimate on eigenvalue rigidity via the maximum principle of the heat flow related to the Dyson Brownian motion. AU - Cipolloni, Giorgio AU - Erdös, László AU - Krüger, Torben H AU - Schröder, Dominik J ID - 6186 IS - 4 JF - Pure and Applied Analysis SN - 2578-5893 TI - Cusp universality for random matrices, II: The real symmetric case VL - 1 ER -