Research interests

 

I am interested in studying the topological properties of an almost complex or symplectic manifold with symmetries, namely the equivariant cohomology and K-theory ring of the manifold, when it is acted on by a Lie group. I also explore interactions between symplectic geometry, integrable systems and combinatorics, more precisely the one involving Schubert calculus, GKM manifolds and toric varieties. 

 

My research projects (past and present) can be divided into the following areas:

 

1) Classification of Hamiltonian torus actions on compact symplectic manifolds.

2) Computation of the equivariant cohomology and K-theory ring. 

3) Complexity-one spaces, semi-toric and toric systems.

4) Non-Hamiltonian symplectic actions.

 

 

 

 

 

Prof. SILVIA SABATINI

Ph.D.