# University of Toronto's Symplectic Geometry Seminar

Feb. 2, 2004, 2:10 - 3 PM

SS5017A

## Yi Lin

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Cornell University

Equivariant symplectic Hodge theory and the $d\delta$-lemma

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** Abstract: ** Consider a Hamiltonian action of a compact Lie
group on a symplectic manifold which has strong Lefschetz
property. In this talk I will discuss an equivariant version of the
Mekulove-Guillemin $d \delta$-lemma and an improved version of the
Kirwan-Ginzburg equivariant formality theorem, which says that every
cohomology class has a canonical equivariant extension. This is a
joint work with Reyer Sjamaar.