PT Unknown AU Patel Mr., A TI Uniformization of complex projective klt varieties by bounded symmetric domains PD 04 PY 2023 DI 10.17185/duepublico/81480 LA en AB Using classical results from non Abelian Hodge theory and more contemporary ones developed for complex projective varieties with Kawamata log terminal (klt) singularities, we deduce necessary and sufficient conditions for such varieties to be uniformized by each of the four classical irreducible Hermitian symmetric spaces of non compact type. We also deduce necessary and sufficient conditions for uniformization by a polydisk in the klt setting, which generalizes a classical result of Simpson. ER