Joint IAS-PU Symplectic Geometry Seminar

On the Symplectic Invariance of log Kodaira Dimension
Mark McLean
Massachusetts Institute of Technology; Member, School of Mathematics
Date & Time: 
Fri, 10/19/2012 - 16:30 - 17:30
Location: 
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.