University of Cambridge > > Junior Algebra and Number Theory seminar > Relations between class numbers in Galois extensions of number fields

Relations between class numbers in Galois extensions of number fields

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  • UserAlex Bartel
  • ClockMonday 11 May 2009, 14:30-15:30
  • HouseMR13, CMS.

If you have a question about this talk, please contact Anton Evseev.

Two of the most mysterious and most important invariants of a number field are its class group and the group of units of the ring of integers. I will show how knowing one of them might tell you something about the other. Along the way I will explain one of the most gorgeous formulae of algebraic number theory, the analytic class number formula. The only prerequisites are some elementary Galois theory and some of the material from the undergraduate “number fields” course.

This talk is part of the Junior Algebra and Number Theory seminar series.

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