26/04/2021, 09:30 — 10:00 — Online
Carlos Sotillo Rodríguez, LisMath, Faculdade de Ciências, Universidade de Lisboa
Geometry and topology of generalized polygon spaces
We consider the space of polygons with edges in a complex projective space, generalizing the classical space of polygons with edges in $\mathbb{R}^3$.
Using the Gelfand-McPherson correspondence and wall crossing techniques we will prove a recursive formula for the Poincaré polynomial of these spaces and compute their symplectic volume.
