Timeline for What is the state of invariant theory?
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Sep 16 at 11:58 | comment | added | Timothy Chow | The work of Andrew Snowden and his collaborators is worth looking at. See for example "The ideal of relations for the ring of invariants of $n$ points on the line" and other work in a similar vein. | |
| Sep 16 at 6:14 | comment | added | Gregor Kemper | A fairly recent survey article appeared in arxiv.org/abs/2403.12709 | |
| Sep 15 at 19:59 | comment | added | Abdelmalek Abdesselam | For an example of open problem, see my article mentioned at the end of my MO answer mathoverflow.net/questions/286872/… | |
| Sep 15 at 18:04 | comment | added | darij grinberg | Also I expect a lot of activity to follow in the anticommutative and noncommutative settings (which lag behind the commutative one for historical reasons). | |
| Sep 15 at 18:03 | comment | added | darij grinberg | There is a recent book by De Concini and Procesi with some fairly recent results in it. Usually the question is to find generators and relations for the invariant rings of a family of groups acting on a family of spaces (e.g., $\operatorname{GL}_n$ acting on $K^{n\times n}$ by conjugation). This is not a computational problem, since the families are typically infinite (all $n$, not just a few). Also, fields of positive characteristic offer a challenge in many situation where the characteristic-$0$ theory can be derived from general facts. | |
| S Sep 15 at 16:52 | review | First questions | |||
| Sep 15 at 17:26 | |||||
| S Sep 15 at 16:52 | history | asked | IllogicalUser | CC BY-SA 4.0 |