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Explore the intricacies of the 2D t-t'-J model in this 33-minute conference talk by Steven White from the University of California, Irvine. Delve into a recent study conducted on 8 and 6 leg cylinders, which provides insights applicable to 2D systems. Discover how the t-t'-J model captures certain aspects of cuprate physics while differing in its representation of superconductivity. Examine the phase diagram of the model, including a novel "unpaired" striped phase and the coexistence of d-wave pairing, antiferromagnetic order, and p-wave triplet pairing. Gain valuable knowledge from this presentation, part of the Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021 workshop series hosted by the Institute for Pure & Applied Mathematics at UCLA.