Logarithmic volumes of holes of hypersurfaces and tropicalization of periods. (Lionel Lang, Gävle)

24.03.2025 16:00 – 18:00

Abstract:
Integrating the logaritmic volume form on well chosen discs bounded on
hypersurfaces gives a local system of coordinates on the linear system
of such hypersurfaces. Surprisingly, the same procedure gives global
coordinates on the corresponding linear system of tropical
hypersurfaces. In both the algebraic and tropical settings, the
differential of these coordinate systems with respect to the coefficents
of the defining equations are period matrices. I want to discuss how
this observation can be used to study the tropicalization of periods of
hypersurfaces.

Lieu

Bâtiment: Conseil Général 7-9

Room 6-13, Geneva-Neuchatel Symplectic seminar (GeNeSys)

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