Erratum to “Tame topology of arithmetic quotients and algebraicity of Hodge loci”

Abstract

We correct an error in the functoriality of the R a l g \mathbb {R}_\mathrm {alg} -definable structures on arithmetic quotients Γ ∖ G / M \Gamma \backslash G/M constructed in [B. Bakker, B. Klingler, and J. Tsimerman, Tame topology of arithmetic quotients and algebraicity of Hodge loci, J. Amer. Math. Soc. 33 (2020), no. 4, 917-939]. The statements for Hodge manifolds and period maps are unaffected.