Classification of solitons for pluriclosed flow on compact complex surfaces

Classification of solitons for pluriclosed flow on compact complex surfaces

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Jeffrey Streets, University of California, Irvine
Fine Hall 1001

The pluriclosed flow is an evolution equation generalizing the Kahler-Ricci flow to complex, non-Kahler manifolds.  A fundamental step in understanding its singularity formation is to classify soliton solutions.  In this talk I will show that only Hopf surfaces can admit solitons, then exhibit a construction of nontrivial solitons on class 1 Hopf surfaces.