Abstract: Given a representation of GalQp’>GalQp with coefficients in a p’>p-adically complete local ring R’>R², Fukaya and Kato have conjectured the existence of a canonical trivialization of the determinant of a certain cohomology complex. When R=Zp’>R=Zp and the representation is a lattice in a de Rham representation, this trivialization should be related to the ε’>ε-factor of the corresponding Weil–Deligne representation. Such a trivialization has been constructed for certain crystalline Galois representations, by the work of a number of authors. I will explain how to extend these trivializations to certain families of crystalline Galois representations. This is joint work with Otmar Venjakob
The talk will be preceded by tea at 3:30 in S5.21