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Meta
Author Archives: Persiflage
Even Galois Representations mod p
Suppose that \(\overline{\rho}: G_{\mathbf{Q}}: \rightarrow \mathrm{GL}_2(\overline{\mathbf{F}}_p)\) is a continuous irreducible Galois representation. What does the Langlands program say about such \(\overline{\rho}\)? When \(\overline{\rho}\) is odd, the situation is quite satisfactory, the answer being given by Serre’s conjecture. For example, having fixed a … Continue reading
Why Blog?
The reasons for running a blog are various; they run the gamut from narcissism to simple self-aggrandizement. Time will tell which type of blog this will be. I’m not really looking to find an audience beyond those people I already know … Continue reading
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