TITLE: Any simple concrete proof of Faltings theorem?
QUESTION [9 upvotes]: Are there simple proofs of some concrete special cases of Faltings's theorem? Any help would be appreciated.

REPLY [3 votes]: Recently Lawrence and Venkatesh gave a proof that uses Faltings' setup but looks at variation of p-adic Galois representations in a family of algebraic varieties. Neither simpler nor a concrete special case, though.