EVENT DETAILS AND ABSTRACT

Title: Symplectic reduction and the equivariant index
Speaker: Professor Eckhard Meinrenken
Speaker Info: MIT
Brief Description:
Special Note:
Abstract:

For any G-equivariant elliptic operator A over a compact G-manifold, the equivariant index of A is a (virtual) representation of the group G. While the theorem of Atiyah-Segal-Singer gives an explicit expression for the character of this representation, finding the multiplicities of its irreducible components is in general a nontrivial problem. The Guillemin-Sternberg conjecture gives such multiplicity formulas in a special case arising in symplectic geometry. In this talk I will describe some applications and generalizations of the conjecture and explain some of the ideas that enter its proof.