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As we inexorably overshoot critical climate thresholds, the discussion about future emissions pathways and climate risks intensifies and becomes more complex. This talk will review the history of overshoot for emission and mitigation pathways. We discuss the multi-faceted implications of overshoot on emissions, for transforming energy and economic systems, and for equity and technology. We also review the literature quantifying the climate risks associated with overshoot. We conclude by looking at ongoing community scenario activities relevant to the IPCC and identifying key research gaps and required methodological innovations.