Timeline for Is there a "Basic Number Theory" for elliptic curves?
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
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| Aug 3, 2011 at 12:35 | vote | accept | David E Speyer | ||
| Aug 2, 2011 at 5:57 | comment | added | Marty | I don't know the history on that one. Certainly the name "Tamagawa number conjecture" that's given to those conjectures of Bloch-Kato seems to originate from Bloch's paper. And I think that the general height pairings needed for these conjectures rely on Bloch's paper. What I meant was that I don't know a place where the interpretation of BSD as a fact about the volume of the quotient $X(A) / X(F)$ is used. | |
| Aug 2, 2011 at 2:56 | comment | added | Chandan Singh Dalawat | but not much has been done (publicly) with its interpretation of BSD. I thought the conjectures about special values of $L$-functions which Bloch made later with Kato (in the Grothendieck Festschrift) owe much to this paper. | |
| Aug 2, 2011 at 1:05 | comment | added | Spiro Karigiannis | I think we all gave disastrous talks at some point during our graduate student careers. I had at least a couple of them. | |
| Aug 1, 2011 at 22:51 | comment | added | Marty | It was probably more disastrous from the on-stage perspective. In any case, it was a learning experience. Thanks for the spelling correction -- I did not mean to evoke the Urban Dictionary definition of "disasterous", though "disasterfest" might fit well. | |
| Aug 1, 2011 at 22:45 | history | edited | Marty | CC BY-SA 3.0 |
Spelling correction.
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| Aug 1, 2011 at 19:40 | comment | added | Pete L. Clark | Hi Marty: very nice answer. I was at the talk you mention, right? I would not characterize it as disastrous (or even "disasterous"). I have seen much worse (though not from you). I think it did become clear though that things were more complicated than they appeared... | |
| Aug 1, 2011 at 1:38 | comment | added | SGP | Bloch's article is here digizeitschriften.de/dms/img/?PPN=GDZPPN002096080 | |
| Jul 31, 2011 at 20:33 | comment | added | Ben Wieland | Re: influence, Ono deduced his formula from Weil's cleaner conjecture (now a theorem) that the Tamagawa number of a simply connected algebraic group is 1. But since abelian varieties don't have universal covers, the cleanest formulation is Ono's formula. Also, when the group is semi-simple, normalizing the volume is easier. I think SL_2 is probably the best introductory example. | |
| Jul 31, 2011 at 19:14 | history | answered | Marty | CC BY-SA 3.0 |