I was told by one of my teachers that Galois Representation is a major tool to study Gal($\overline{\mathbb{Q}}|\mathbb{Q}$). If we know this Galois group, what knid of questions can we answer ? In short, what motivated people to study this group ?
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How is this question substantially different from the last question you asked? – Mathmo123 Aug 12 '16 at 09:20