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The asymptotic geometry of 4D steady Ricci solitons

The asymptotic geometry is important for the classification of Ricci solitons. In this talk, we will classify the asymptotic geometry of 4D  steady gradient Ricci solitons (which are singularity models) whose Ricci curvature is nonnegative outside a compact set. As an application, we will show such steady  Kahler-Ricci solitons must  ;be Ricci-flat.