Timeline for Arithmetic geometry from a bird's-eye view
Current License: CC BY-SA 2.5
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 21, 2010 at 14:42 | answer | added | Charles Matthews | timeline score: 1 | |
| Sep 21, 2010 at 14:27 | comment | added | BCnrd | Where does the arithmetic theory of linear algebraic groups (e.g.., Hasse principle in simply connected case, Galois cohomological classification of forms, etc.) fit into your dichotomy? Or $p$-adic Hodge theory? Or the Mordell conjecture? Or the semistable reduction theorem for curves? | |
| Sep 21, 2010 at 14:25 | answer | added | Pete L. Clark | timeline score: 9 | |
| Sep 21, 2010 at 14:03 | comment | added | Felipe Voloch | No. 1) and 2) are very laudable pursuits but are just a tiny part of what I'd consider arithmetic geometry. I'd say that what I've been doing in the last 25 years is mostly arithmetic geometry and I've never done either of those things. | |
| Sep 21, 2010 at 13:41 | comment | added | user19475 | If one speaks of Abelian varieties, it would fall into category 2) (BSD conjecture). I don't know if the ETNC would help in case of arbitrary motives. | |
| Sep 21, 2010 at 13:07 | comment | added | David E Speyer | It seems to me that many famous results in Arithmetic Geometry are about bounding the number of rational points on varieties. Which category would this fall into? | |
| Sep 21, 2010 at 13:02 | history | asked | user19475 | CC BY-SA 2.5 |