Log canonical threshold and Floer homology of the monodromy

Princeton/IAS/Columbia Symplectic Geometry Seminar
Topic:Log canonical threshold and Floer homology of the monodromy
Speaker:Mark McLean
Affiliation:Stonybrook University
Date:Friday, April 1
Time/Room:10:20am - 11:20am/Math 520, Columbia University

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.