3 problems

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Twist-equivalence conjecture for defining graphs of Artin groups
Twist-equivalence conjecture. If $A_\Gamma\cong A_\Lambda$ , then $\Gamma$ and $\Lambda$ are twist equivalent.
Conjectureopenartin-groups geometric-group-theory isomorphism-problemarXiv posted 2 days ago
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Positive-characteristic groupwise isomorphism conjectures for universal enveloping algebras
Groupwise positive-characteristic isomorphism conjectures. The following three statements should hold:
Conjectureopenisomorphism-problem lie-algebras universal-enveloping-algebrasarXiv posted 2 days ago
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Positive-characteristic isomorphism conjecture for universal enveloping algebras of solvable Lie algebras
Positive-characteristic isomorphism conjecture. If $U(L)\cong U(H)$ , then $L\cong H$ also holds over fields of positive characteristic.
Conjectureopenisomorphism-problem lie-algebras universal-enveloping-algebrasarXiv posted 2 days ago

Twist-equivalence conjecture for defining graphs of Artin groups