Rob Harron
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Registered User
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Algebraic number theorist: Galois representations, automorphic representations, $p$-adic stuff.
Van Vleck Assistant Professor/RTG Postdoc at UWisconsin-Madison.
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Feb 17 |
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Unramified Galois representations not from smooth and proper stacks So, David, are you saying that the situation is that we know the representations come from geometry and we know that they are good everywhere, but the reason we know the latter is not because we know the geometric objects are good everywhere? Rather we use some other technique to show this. (I haven't thought about this for a while, so really it's a bit unclear to me whether we know the representations themselves come from geometry, rather their restrictions to imag. quad. extensions are motivic. And the representations are patched together from these restrictions. ?) |
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Feb 17 |
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Unramified Galois representations not from smooth and proper stacks When I think of Galois representations that are not known to be motivic, I think of those automorphic ones constructed as $p$-adic limits. The fact that you want "no" ramification is imposing a "high" weight condition on the automorphic representations involved. So, maybe one could find some automorphic representations for GL(n) (n>2). |
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Dec 7 |
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Effective detection of CM modular forms So, you start with a normalized newform f and then you twist by some $\chi$ and let $f_\chi$ be the associated newform. Then, $f=f_\chi$ for some $\chi$ if $f$ is CM. |
