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Aug 3, 2022 at 7:36 comment added Kim Is there a basic example where the study of a Galois representation at a ramified place is used to deduce interesting consequences?
Aug 2, 2022 at 9:26 comment added Kim Is complex conjugation the only one?
Aug 2, 2022 at 9:25 comment added Chris Wuthrich Complex conjugation
Aug 2, 2022 at 9:24 comment added Kim Aside from lifts of the Frobenius in the local Galois group, are there even any other non-trivial elements of the global absolute Galois group that we can describe?
Aug 2, 2022 at 9:18 comment added Chris Wuthrich $H^i_{\mathrm{ét}}\bigl(\cdot, \mathbb{Z}/p^k\mathbb{Z}\bigr)$
Aug 2, 2022 at 8:35 comment added Kim Thanks! I don't know exactly what I'm looking for but this is a very helpful answer. Can a general representation coming from etale cohomology can be realized as a sequence of finite Galois representations?
Aug 2, 2022 at 8:06 history answered Chris Wuthrich CC BY-SA 4.0