2 problems

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Cocycle Cheeger constants for Steinberg and GKKL presentations
Cocycle-Cheeger conjecture. The cocycle Cheeger constants in permutations of the Steinberg presentations have a uniform positive lower bound, at least when $n$ is fixed and…
Conjectureopencocycle-expansion finite-simple-groups group-presentationsarXiv posted 2 days ago
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Cocycle expansion for quotients of Bruhat–Tits buildings with permutation coefficients
Cocycle-expansion conjecture. For every such lattice $\Gamma$ ,
Conjectureopenbuildings cocycle-expansion p-adic-groupsarXiv posted 2 days ago

Cocycle Cheeger constants for Steinberg and GKKL presentations