# Log canonical threshold and Floer homology of the monodromy

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Mark McLean , Stony Brook University

Joint Seminar with CU at CU.   The log canonical threshold of a hypersurface singularity is an important invariant which appears in many areas of algebraic geometry. For instance it is used in the minimal model program, has been used to prove vanishing theorems, find Kahler Einstein metrics and it is related to the growth of solutions mod pkpk. We show how to calculate the log canonical threshold and also the multiplicity of the singularity using Floer homology of iterates of the monodromy map.