Abstract: We investigate the collapsing behavior of immortal solutions of the Kähler-Ricci flow on compact Kähler manifolds. Assuming the Abundance Conjecture, we prove that the Ricci curvature of the evolving metrics remains locally uniformly bounded away from the singular fibers of the Iitaka fibration. Joint work with Man-Chun Lee and Valentino Tosatti.

Biography: Hans-Joachim Hein is currently a professor at the University of Münster in Germany. He received his Ph.D. at Princeton University in 2010 under the supervision of Gang Tian. He works on complex differential geometry and geometric analysis.

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