On the Symplectic Invariance of log Kodaira Dimension

Joint IAS-PU Symplectic Geometry Seminar
Topic:On the Symplectic Invariance of log Kodaira Dimension
Speaker:Mark McLean
Affiliation:Massachusetts Institute of Technology; Member, School of Mathematics
Date:Friday, October 19
Time/Room:4:30pm - 5:30pm/Fine Hall 322

Every smooth affine variety has a natural symplectic structure coming from some embedding in complex Euclidean space. This symplectic form is a biholomorphic invariant. An important algebraic invariant of smooth affine varieties is log Kodaira dimension. One can ask, to what extent is this a symplectic invariant? We show some partial symplectic invariance results for smooth affine varieties of dimension less than or equal to 3.