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1. The big questions


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      Problem 1.1.

      Does the $K(\pi,1)$ conjecture hold for all Artin groups?


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          Problem 1.2.

          Are all Artin groups torsion-free?


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              Problem 1.3.

              Are the irreducible non-spherical Artin groups centerless? If not, describe the centers.


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                  Problem 1.4.

                  Is each Artin group isomorphic to its dual?
                      Known for spherical and Euclidean. Open for RAAGs

                      Cite this as: AimPL: Geometry and topology of Artin groups, available at http://aimpl.org/geomartingp.