Matilde Manzaroli: Topology of totally real degenerations

Date: 2023-06-28

Time: 09:30 - 10:30

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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.