Differential Geometry Working Seminar

Speaker: Alex Pawelko

"Symmetry Reduction and the Quest for G2 Moment Maps"

We present an overview of the classical theory of moment maps from symplectic geometry and their use within the Marsden-Weinstein-Mayer theory of symplectic reduction, with an emphasis on the Lie theoretic considerations that arise. If time permits, we will then discuss some attempts to generalize moment maps to the setting of G2 manifolds.