15 apr 2020 -- 14:00
https://meet.google.com/vsz-nxkm-hav (Roma Sapienza)
Streaming all'indirizzo https:/meet.google.comvsz-nxkm-hav, Dipartimento di Matematica, Sapienza Università di Roma
Abstract.
Roughly speaking, a geometric transition is a deformation of geometric structures on a manifold, by “transitioning” between different geometries. Danciger introduced a new such transition, which enables to deform from hyperbolic structures to Anti-de Sitter structure, going through another type of real projective structures called “half-pipe”, and provided conditions for a compact 3-manifold to admit a geometric transition of this type. By extending a construction of Kerckhoff and Storm, I will describe examples of finite-volume geometric transition in dimension 4. This is joint work with Stefano Riolo.