# On some fully non-linear PDEs and their applications in Kaehler geometry

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Hao Fang, University of Iowa
Fine Hall 314

In this talk, we will discuss the so-called inverse $\sigma_k$ equation on Kahler manifolds. We will concentrate on examples of singular solutions and their application in Kahler geometry. Parts of the work are joint with Mijia Lai, Jian Song and Ben Weinkove.