On the Mordell conjecture:
Brian Lawrence, Akshay Venkatesh: Diophantine problems and -adic period mappings, Invent. math. 221 (2020) 893–999 [arxiv:1807.02721, doi:10.1007/s00222-020-00966-7]
Jennifer Balakrishnan, A. J. Best, F. Bianchi, Brian Lawrence, J. S. Müller, N. Triantafillou, J. Vonk: Two recent -adic approaches to the (effective) Mordell conjecture, in: Arithmetic L-Functions and Differential Geometric Methods Progress in Mathematics 338 Birkhäuser (2021) [arxiv:1910.12755, doi:10.1007/978-3-030-65203-6_2]
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