Skip to main content

Timeline for Heuristics for the Hodge Conjecture

Current License: CC BY-SA 3.0

14 events
when toggle format what by license comment
Jul 4, 2012 at 12:02 vote accept Shanmukha_Srinivasan
Jul 3, 2012 at 0:31 comment added meh @Donu- I believe in the Proceedings of a Conference on Arithmetical Algebraic Geometry held at Purdue Tate says that he doesn't think the two conjectures are particularly connected. I can look up exact reference if you wish.
Jul 2, 2012 at 15:39 comment added Shanmukha_Srinivasan Thank you Charles, Donu and Chandu, for your editing and references.
Jul 2, 2012 at 15:01 answer added Donu Arapura timeline score: 22
Jul 2, 2012 at 12:59 comment added Donu Arapura See for example, mathoverflow.net/questions/54197/… and mathoverflow.net/questions/17020/…
Jul 2, 2012 at 12:39 comment added Donu Arapura It's worth looking at Hodge's original ICM article. The "conjecture" was announced with little fanfare... (2) He certainly knew of Lefschetz's $(1,1)$ theorem, so I suppose that this was a natural extrapolation. (3) Some people consider Tate's conjecture that the Galois invariant part of $\ell$-adic cohomology is spanned by algebraic cycles to be an analogue. If you search for "Hodge conjecture" here, you'll find a number of useful discussions.
Jul 2, 2012 at 11:48 history edited Charles Matthews CC BY-SA 3.0
concision work
Jul 2, 2012 at 11:28 comment added Charles Matthews I've edited the post
Jul 2, 2012 at 11:28 history edited Charles Matthews CC BY-SA 3.0
copy edit
Jul 2, 2012 at 11:19 answer added Charles Matthews timeline score: 3
Jul 2, 2012 at 11:14 comment added Charles Matthews Actually Swinnerton-Dyer doesn't stand on ceremony, despite the baronetcy. But the first name is unclear.
Jul 2, 2012 at 10:53 comment added C.S. @Shanmukha_Srinivasan: "curios" should be "$\text{curious}$".
Jul 2, 2012 at 10:45 comment added S. Carnahan Do you happen to know "Peter" on a first-name basis? Also, are you planning to ask for heuristics behind many more conjectures?
Jul 2, 2012 at 8:58 history asked Shanmukha_Srinivasan CC BY-SA 3.0