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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.

7 votes
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Abelian varieties over local fields

$V$ is an irreducible $\mathbb{F}_p$-representation of $I$. As $P$ is a pro-$p$ group, $V^P\ne 0$, and $P$ is normal in $I$ so $V^P$ is stable under $I$. Therefore $V^P=V$. You might like to look at T …
Tony Scholl's user avatar
  • 2,441
29 votes
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Cusp forms and L^2

This is a long answer because the question asks quite a lot of things. I agree that Gelbart's book, although inspirational, is hard for someone without a strong analytic background. The Boulder and Co …
Tony Scholl's user avatar
  • 2,441