EQUIVARIANT LOCAL EPSILON CONSTANTS AND ÉTALE COHOMOLOGY
A conjecture is formulated which relates the equivariant local epsilon constant of a Galois extension of $p$-adic fields to a natural algebraic invariant coming from étale cohomology. Some evidence for the conjecture is provided and its relation to a conjecture for the equivariant global epsilon constant of an extension of number fields formulated by Bley and Burns is established.(Received August 19 2003)
(Revised February 11 2004)
11S23 (primary); 11S25; 11R33 (secondary).
1 The author was supported by the DAAD and the EPSRC.