Diophantine problems and the $p$-adic Torelli map

Joint IAS/Princeton University Number Theory Seminar
Topic:Diophantine problems and the $p$-adic Torelli map
Speaker:Brian Lawrence
Affiliation:Stanford University
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).