AbstractStrata of meromorphic $1$-forms are endowed with the atlas of period coordinates given by the periods of the differential on arcs joining the $n$ zeroes of the differential. Fixing the periods on absolute homology classes defines the isoperiodic foliation.Isoperiodic leaves are complex manifolds of dimension $n-1$ endowed with a translation structure inherited from the period atlas of t...
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:...