Moment maps and geometric invariant theory
Abstract
These lectures centered around the KempfNess theorem, which describes the equivalence between notions of quotient in symplectic and algebraic geometry. The text also describes connections to invariant theory, such existence of invariants in tensor products of simple GL(r)modules, and Teleman's improved version of quantization commutes with reduction.
 Publication:

arXiv eprints
 Pub Date:
 December 2009
 arXiv:
 arXiv:0912.1132
 Bibcode:
 2009arXiv0912.1132W
 Keywords:

 Mathematics  Symplectic Geometry;
 Mathematics  Algebraic Geometry
 EPrint:
 Expanded notes for lectures given at the school on Hamiltonian actions: their invariants and classification at CIRM, Luminy, April 2009