Timeline for What is the Balmer spectrum of the p-complete stable homotopy category?
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| Oct 4, 2022 at 6:45 | comment | added | Z. M | I forgot to mention that, from the point of view of idempotent algebras, the spectrum of p-local and p-complete objects are complement, since the p-local sphere is an idempotent algebra, and you have the corresponding stable symmetric monoidal recollement. | |
| Oct 4, 2022 at 5:37 | comment | added | Z. M | One of the problem, I guess, is that the Balmer spectrum is usually associated to small (symmetric monoidal) categories. This category is not rigid (in particular, the unit is not compact), so it is difficult to extract a good small subcategory to play the game. The issue is mentioned in Balmer's survey Rem 2.18. As mentioned there, this can be solved by studying idempotent algebras instead, which is adopted in Clausen–Scholze's lecture notes on complex geometry Lecture 5. | |
| Oct 3, 2022 at 20:16 | history | asked | Doron Grossman-Naples | CC BY-SA 4.0 |