Diophantine Problems and the p-adic Torelli Map

Diophantine Problems and the p-adic Torelli Map

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Brian Lawrence , Stanford University
Fine Hall 214

We explore the comparison isomorphism of p-adic Hodge theory in the case of elliptic curves, and discuss some ideas which may be used to prove the S-unit theorem and the finiteness of rational points on higher-genus curves (Faltings' theorem).