Seminar der Forschergruppe 'Symmetrie, Geometrie und Arithmetik'

In the 90's Kato, Perrin-Riou and Fontaine conjectured the existence of a certain unique isomorphism that encapsulates the existence of the correct epsilon factors one may associate to any L-function of a motive M. The refined version of this conjecture, called the local epsilon conjecture, can be formulated via the determinant formalism in purely in local terms. In 2004 Benois and Berger, using the theory of (phi, Gamma)-modules, proved the local epsilon conjecture in the case that the local representation associated to M is crystalline. We give an overview of the problems one runs into in the semistable case and suggest a slightly different approach with first results.

Freitag, den 21. Juni 2013 um 13:30 Uhr, in INF 288, HS2 Freitag, den 21. Juni 2013 at 13:30, in INF 288, HS2