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Results tagged with galois-representations
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user 35416
The term Galois representation is frequently used when the G-module is a vector space over a field or a free module over a ring, but can also be used as a synonym for G-module. The study of Galois modules for extensions of local or global fields is an important tool in number theory.
17
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Special values of Artin L-functions
This question might be naive and might carry the heuristic that we are living in the best possible world a little too far. If so, I appreciate being told so.
Background: Stark's conjecture interprets …
- 13k
4
votes
Mazur's Question on Mod $N$ Galois representations
In addition to Felipe's reference, you can also have a look at Tom Fisher's papers https://www.dpmms.cam.ac.uk/~taf1000/papers/congr7and11.html and https://www.dpmms.cam.ac.uk/~taf1000/papers/congr9.h …
- 13k
3
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Accepted
Local factors determine Weil representations - proof of the cyclic case
Why is the map ${\rm Gal}(FL/L)\to {\rm Gal}(F/K)$ injective?
Elements of ${\rm Gal}(FL/L)$ are automorphisms of $FL$ that act trivially on $L$. To be in the kernel of the above map means to also act …
- 13k
2
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Integral models of p-adic representations
For general representations, there are no such strategies and this is a very hard open problem, even for finite groups. Since your usual compact group will have various finite quotients, your problem …
- 13k