Timeline for motivations of classifying $p$-divisible groups
Current License: CC BY-SA 4.0
7 events
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| Oct 22, 2019 at 1:15 | history | edited | user141691 | CC BY-SA 4.0 |
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| Oct 22, 2019 at 1:14 | comment | added | user141691 | @S.Carnahan Sorry, I just want to give a example, I don’t know much about the proof of the two complicated theorems... | |
| Oct 21, 2019 at 15:31 | comment | added | S. Carnahan♦ | On your remark: The odd order theorem was a major step in the classification of finite simple groups, so using the classification to prove the odd order theorem seems rather circular. | |
| Oct 21, 2019 at 2:41 | history | edited | user141691 | CC BY-SA 4.0 |
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| Oct 21, 2019 at 1:57 | comment | added | user141691 | @ali As I know, in p-adic hodge theory, we use Fontaine’ period rings $B_{st}$ and $B_{cris}$ to define crystalline and semi-stable represensations. There is also a equivalence of categories between all semi-stable $Q_p$ representations and filtered ($\phi$,N)-module, we can use this equivance to analyse semi-stable representations because objects in another category are objects in linear algebra. So I think there may exist some applications for classifying p-divisible groups. | |
| Oct 20, 2019 at 21:05 | comment | added | ali | yes it helps us to define crystalline and semi-stable representations and in general p divisible groups naturally appear in many contexts so as any other important mathematical object it's helpful to classify them | |
| Oct 20, 2019 at 13:51 | history | asked | user141691 | CC BY-SA 4.0 |