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### Pattern Avoidance in Poset Permutations

I am not sure if it is appropriate to use MathOverflow to publicize a conjecture, but I think this is an interesting question and I have no real ideas of how to solve it.
A permutation on a ...

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### Properties of permutations with unknown pattern avoidance descriptions

Background
Many properties of permutations can be stated in terms of classical patterns.
For example:
a permutation is stack-sortable if and only if it avoids 231 (Knuth 1975)
a permutation ...

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### Stricter permutation patterns

(I asked this ten days ago on math.SE, but I received no reply, so I'm trying again here.)
A lot of work has been done on patterns in permutations, where a permutation is said to match a given ...