20 apr 2021 -- 16:00
Geometry in Como - Online
The talk will take place on Microsoft Teams. Please visit https://sites.google.com/site/gbazzoni/geometry-at-insubria and fill in the form if you'd like to be added to our mailing list.
Abstract.
We classify 3-valent GKM fiber bundles over n-gons, show that they are all realized as the projectivization of equivariant complex rank 2 vector bundles over quasitoric 4-manifolds, and investigate the existence of invariant (stable) almost complex, symplectic, and Kähler structures on the total space. In this way we obtain infinitely many new examples of Hamiltonian non-Kähler actions in dimension 6 with prescribed shape of the x-ray, in particular with prescribed number of fixed points. We extend our methods to give interesting examples of torus actions in dimension 8 that answer a natural cohomological rigidity question.
This is joint work with Panagiotis Konstantis and Leopold Zoller.