|Joint IAS/Princeton University Number Theory Seminar|
|Topic:||Diophantine problems and the $p$-adic Torelli map|
|Date:||Thursday, February 9|
|Time/Room:||4:30pm - 5:30pm/Fine 214, Princeton University|
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).