Alessandro Cobbe (Universität Heidelberg)
Abstract: The local epsilon constant conjecture in the formulation by Breuning of 2004 fits into the general framework of the equivariant Tamagawa number conjecture (ETNC) and should be interpreted as a consequence of the expected compatibility of the ETNC with the functional equation of Artin-L-functions. It relates local epsilon constants, which are associated to L-functions, to some terms which originate from local Galois cohomology groups of Z_p(1). We will also look at more general versions of the conjecture, obtained by twisting Z_p(1) with unramified representations. This is joint work with Werner Bley.