Cubical quotients of cubical nonproducts

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• Kasia Jankiewicz (University of California, Santa Cruz)
• Monday 07 July 2025, 14:00-15:00
• Seminar Room 1, Newton Institute.

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NPCW06 - Non-positive curvature and applications

Burger-Mozes constructed examples of simple groups acting geometrically on a CAT complex, which is a product of trees. As a counterpoint, we prove that every group acting geometrically on a CAT cube complex which is not a product, admits a nontrivial quotient which also admits a geometric action on a CAT cube complex. Our construction relies on the cubical version of small cancelation theory. This is joint work with M. Arenas and D. Wise.  

This talk is part of the Isaac Newton Institute Seminar Series series.

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