In number theory and diophantine geometry, the theory of "heights" is essential in studying finiteness questions. Roughly, they capture the "arithmetic complexity" of the object of study. We give a formula relating various notions of heights of abelian varieties. We also discuss the case of Jacobians in some detail, where graphs and electrical networks will play a key role.
Based on joint works with Robin de Jong (Leiden).
Additional Information
Location: GWN 201
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