Notes from Modularity Lifting Seminar at Stanford, 2009-2010
نویسنده
چکیده
v det([1− ρ(Frobv)q v ]|W Iv )−1, W Iv = subspace of W fixed by inertia at v. Grothendieck gave a related description of ζ∗ X using continuous p-adic representations GF → GL(H ét,c(XF ,Qp)) =: GL(W ). These are unramified almost everywhere, including at all good places away from p. Here the ith cohomology group W i above vanishes for i > 2 dimX. Grothendieck proved that if we remove the contribution of p-adic places to ζ∗ X(s) then ζ∗ X(s) = ∏
منابع مشابه
Representations of p-adic groups for the modularity seminar
These are lecture notes, for a “modularity seminar”, and I make no claim to originality. I have attempted to give references, but these references do not necessarily reflect the history (I might reference one source for a proof of a theorem, when the theorem was first proven by another). Please send corrections to Marty Weissman at [email protected].
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تاریخ انتشار 2010