The SYZ conjecture for families of hypersurfaces

Abstract: Let $X \to D^*$ be a polarized family of complex Calabi-Yau manifolds, whose complex structure degenerates in the worst possible way. The SYZ conjecture predicts that the fibers $X_t$, as $t \to 0$, degenerate to a tropical object; and in particular the program of Kontsevich and Soibelman relates it to the Berkovich analytification of $X$, viewed as a variety over the non-archimedean field of complex Laurent series. I will explain the ideas of this program and some recent progress in the case of hypersurfaces.

algebraic geometrycombinatorics

Audience: researchers in the topic

Tropical Geometry in Frankfurt/Zoom TGiF/Z

Series comments: Description: An afternoon seminar series on tropical geometry, known as the TGiZ ("Tropical Geometry in Zoom") or the TGiF ("Tropical Geometry in Frankfurt") seminar.

Please send an email to one of the organizers at the latest one day before a session if you wish to receive the Zoom link and password.

Videos of some past talks are available on YouTube here, while some slides can be found here.