Timeline for Potential diagonalizability: motivation?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Sep 5, 2013 at 5:50 | history | undeleted | Kim Morrison | ||
| Aug 21, 2012 at 7:21 | history | deleted | user631 | ||
| Nov 3, 2011 at 17:11 | comment | added | Emerton | Dear Monodromy, The authors' motivations were (as far as I know) exactly as described by Graff Vynda-K: potential diagonalizability is a flexible notion, which incorporates already important notions such as Fontaine--Laffaille and ordinary, and which allows the Taylor--Wiles--Kisin method (as developed in BLGG and BLGGT) to work. But, as Graff Vynda-K also alludes to, the general answer to the question of which reps. are potentially diagonalizable is not yet known, and is among one of the major open questions in the field. Regards, Matthew | |
| Nov 3, 2011 at 14:04 | comment | added | monodromy | I guess the latter; presumably the authors must have some idea of where the notion comes from... | |
| Nov 3, 2011 at 14:02 | comment | added | monodromy | Thanks for your comments, Graff. When you say "I don't think anyone has any ideas about how to answer this question" you mean my question or that of telling whether or not all potentially crystalline representations are potentially diagonalizable? | |
| Nov 3, 2011 at 5:47 | history | answered | user631 | CC BY-SA 3.0 |