Matilde Manzaroli, Universität Tübingen
In this talk, we study the topology of totally real semi-stable
degenerations. The main result is a bound for the individual Betti
numbers of a smooth real fiber in terms of the complex geometry of the
degenerated fiber. The main ingredient is the use of real logarithmic geometry, which makes it possible to study degenerations that are not necessarily toric, and therefore to go beyond the case of smooth tropical degenerations, studied by Renaudineau-Shaw. This is a work in collaboration with Emiliano Ambrosi.