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Explore a 55-minute lecture on small cancellation free product quotients and their relation to cubulation in geometric group theory. Delve into the rich world of free product quotients as sources of relatively hyperbolic groups with exotic subgroups. Examine the model introduced by Martin and Steenbock for determining when quotients of free products can act properly and cocompactly on CAT(0) cube complexes. Discover joint work with Einstein that provides a new boundary criterion proof of Wise's theorem on C'(1/6) groups being cubulated. Learn how this work can be adapted to demonstrate relatively geometric actions of C'(1/6) free products on CAT(0) cube complexes. Investigate the implications of this research on the preservation of residual finiteness under C'(1/6) free products. Gain insights into the intersection of small cancellation theory, geometric group theory, and the study of cube complexes in this advanced mathematical presentation.
