Iwasawa Theory for $p$-adic Representations

  title={Iwasawa Theory for \$p\$-adic Representations},
  author={Ralph Greenberg},
Several years ago Mazur and Wiles proved a fundamental conjecture of Iwasawa which gives a precise link between the critical values of the Riemann zeta function (and, more generally, Dirichlet L-functions) and the ideal class groups of certain towers of cyclotomic fields. Probably the first hint of such a link is Kummer's well-known criterion for irregularity of primes. In Iwasawa's theory one defines for each prime p certain modules over the Iwasawa algebra A (which we will describe in Section… 


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