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I'm interested in many things, but algebraic geometry I love.

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comment What is the motivation for defining the conductor of an abelian variety?
Kestutis, is the description you gave here the motivation for defining a conductor of an abelian group? What (originally) was the purpose of this notion?
Dec
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comment What is the motivation for defining the conductor of an abelian variety?
Kestutis, that sounds exactly like the kind of explanation I want. Where can I read more about this? (In particular I am not familiar with "semisimplification" and "Grothendieck's quasi-unipotence thm".) Noam, in that case what makes the definition of an abelian variety over a global field natural?
Dec
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comment What is the motivation for defining the conductor of an abelian variety?
Ah, I see. Is it some limit of this procedure, or am I completely on the wrong track?
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asked What is the motivation for defining the conductor of an abelian variety?
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accepted How can one interpret homology and Stokes' Theorem via derived categories?