AbstractI will survey some recent progress towards the minimal model program for foliations. In particular, assuming termination of (classical) flips in dimension r, we show that flips exist for any algebraically integrable foliation of rank r with log canonical singularities. Joint work with C. Spicer.About the speakerPaolo Cascini is a Professor at Imperial College London.Research Interests：...
AbstractThere are two main obstacles in extending the Minimal Model Program (MMP) for Kahler varieties: (i) given a compact Kahler manifold X, if the canonical bundle K_X is not nef, then does there exist a rational curve C\subset of X such that K_X\cdot C
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