This event has passed.

A tropical Monge-Ampere equation and the SYZ conjecture

Name: A tropical Monge-Ampere equation and the SYZ conjecture
Start: 2023-07-07T16:45:00+02:00
End: 2023-07-07T17:45:00+02:00
Location: Frankfurt, RM-Str. 6-8, Hilbertraum 302 and Zoom

July 7, 2023 at 16:45 – 17:45 CEST

TGiF-Seminar: Tropical geometry in Frankfurt (Second meeting Summer Semester 2023)

Mattias Jonsson (University of Michigan)

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.