Timeline for Fontaine-Mazur for GL_1
Current License: CC BY-SA 2.5
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 15, 2011 at 0:08 | comment | added | Unknown | Congratulations!(about the Clay.) | |
| Jul 25, 2010 at 20:21 | vote | accept | Peter Scholze | ||
| Jul 25, 2010 at 18:15 | history | edited | Peter Scholze | CC BY-SA 2.5 |
added 175 characters in body
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| Jul 25, 2010 at 16:49 | answer | added | Rob Harron | timeline score: 20 | |
| Jul 25, 2010 at 15:50 | comment | added | jnewton | Oh and I guess the proposition in section 6 of Fontaine-Mazur is relevant to the question? | |
| Jul 25, 2010 at 15:02 | comment | added | jnewton | The terminology used in Fontaine and Mazur's paper is that "geometric" means "almost everywhere unramified and potentially semistable at places |p" and an irreducible p-adic Galois representation is said to "come from algebraic geometry" if it is isomorphic (up to Tate twist) to a subquotient of the etale cohomology of an algebraic variety. Their conjecture is then that an irreducible p-adic rep comes from algebraic geometry if and only if it is geometric. | |
| Jul 25, 2010 at 13:34 | comment | added | Chandan Singh Dalawat | ... for example modular if moreover it is odd and $K={\bf Q}$ | |
| Jul 25, 2010 at 13:25 | comment | added | Chandan Singh Dalawat | I thought Fontaine and Mazur defined a $p$-adic representaion of $G_K$ to be geometric if it is almost everywhere unramified and potentially semistable (at every place $\mathfrak{p}|p$ of $K$), and conjectured that every geometric representation is ... | |
| Jul 25, 2010 at 11:17 | history | asked | Peter Scholze | CC BY-SA 2.5 |