Breuning's local equivariant epsilon constant conjecture

Let N/KN/K be a Galois extension of local number fields, let GG be its Galois group, and let RN/KR_{N/K} be Breuning's element of K0(Zp[G],Qp)K_0(\mathbb Z_p[G],\mathbb Q_p) incorporating local epsilon constants and algebraic invariants associated with N/KN/K. Breuning's local equivariant epsilon constant conjecture. One has

RN/K=0R_{N/K}=0

in K0(Zp[G],Qp)K_0(\mathbb Z_p[G],\mathbb Q_p). This is a local formulation of the equivariant epsilon constant problem and is presented as an independent conjecture underlying the local approach to known cases of the global conjecture. The supplied text does not establish the conjecture in general.

Sources & referencesView supporting material

Primary source

Werner Bley and Alessandro Cobbe, “Equivariant epsilon constant conjectures for weakly ramified extensions”, arXiv:1406.3168 (2014).

Progress summary

Never refreshed

Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.

Solutions 0

No solutions have been posted yet.