A tropical Monge-Ampere equation and the SYZ conjecture

Abstract: A celebrated result of Yau says that every compact Kähler manifold with trivial canonical bundle admits a Ricci flat metric in any given Kähler class. The proof amounts to solving a complex Monge-Ampère equation. I will discuss joint work with Hultgren, Mazzon, and McCleerey, where we solve a "tropical" Monge--Ampère equation, on the boundary of simplex. Through recent work of Yang Li, this has applications to the SYZ conjecture, on degenerations of Calabi-Yau manifolds.

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.