Timeline for Conductors of non-abelian number fields?
Current License: CC BY-SA 2.5
2 events
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| Oct 31, 2009 at 19:45 | comment | added | Rob Harron | Buhler is discussing: given a Galois extension K/Q with Galois group A_5, what is the smallest Artin conductor of a two-dimensional Galois representation factoring through Gal(K/Q) whose image in PGL(2,C) is A_5? Buhler finds it's 800, and occurs for the quintic polynomial Langlands mentions. Langlands (and Buhler 2 or 3 times) refers to this as the "conductor of K", but Buhler generally refers to this as the minimal conductor of a corresponding projective representation. He makes no assertion that this is a definition of the conductor of K. It certainly offers a possibility though. Thanks. | |
| Oct 31, 2009 at 17:45 | history | answered | Jonah Sinick | CC BY-SA 2.5 |