F. Hao

Profinite Non-Rigidity of Arithmetic Lattices and the K\"ahler Property

We study the profinite non-rigidity of arithmetic lattices and its implications for the K\"ahler property. In the first part, we characterize the absolute Dynkin types that admit non-isomorphic real forms of higher-rank Lie groups containing torsion-free arithmetic lattices with isomorphic profinite completions. In the...