Ruprecht-Karls-Universität Heidelberg
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„Elliptic $\mathfrak{p}$-units and the equivariant Tamagawa Number Conjecture“
Martin Hofer, LMU München

The motivation for the main result presented in this talk comes from the study of the equivariant Tamagawa Number Conjecture (eTNC) for abelian extensions over an imaginary quadratic field $k$. Bley proved the $p$-part of the eTNC for abelian extensions over $k$ for odd primes $p$ which split in k and do not divide the class number of $k$ by adapting the proof of Burns and Greither for absolute abelian extensions. One key ingredient of both proofs is a construction of certain $\mathfrak{p$-units and the computation of their valuation. In this talk I will present a theorem (which is joint work with W. Bley) for the case where $p$ is non-split in $k$ and explain how it can be used in the descent computation for the eTNC in this case.

Freitag, den 30. November 2018 um 13:30 Uhr, in INF 205, SR A Freitag, den 30. November 2018 at 13:30, in INF 205, SR A

Der Vortrag folgt der Einladung von The lecture takes place at invitation by Dr. Michael Fütterer