Timeline for What techniques are there to prove Schur positivity?
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| May 28, 2020 at 5:21 | vote | accept | Per Alexandersson | ||
| Jun 16, 2017 at 15:27 | comment | added | Per Alexandersson | Ah, right, the Hessenberg variety connection. I have worked a bit (on the combinatorial side), of similar functions. Perhaps there is some 'incomplete flag' Hessenberg variety explaining the various positivity conjectures/results in the paper w. G. Panova we recently put on arxiv.. | |
| Jun 16, 2017 at 14:03 | comment | added | Timothy Chow | @PerAlexandersson : If you will forgive a shameless plug, Brosnan and I have a preprint on the ArXiv proving a conjecture of Shareshian and Wachs about a representation-theoretic interpretation of those Schur-function coefficients. So this gives a representation-theoretic viewpoint, though I have to say that I haven't thought about this problem in terms of crystals. | |
| Jun 16, 2017 at 6:05 | comment | added | Per Alexandersson | Ah, right! Forgot about Gasharov's proof. His proof somehow produces the 'highest-weights' in a hypothetical crystal graph, but no-one has published a full crystal graph structure yet. | |
| Jun 15, 2017 at 23:18 | history | answered | Timothy Chow | CC BY-SA 3.0 |