Speaker: Ying Wang (University of Michigan)
Time: 10:00-11:00, Dec 18, 2025
Venue: room 1124, Material Science Research Building (Section C)
We solve a non-Archimedean Monge-Ampère equation on the Berkovich analytification of a complex log Calabi-Yau pair whose dual complex is a standard simplex, answering a question of Collins-Li and offering a non-Archimedean analog of Ricci-flat metric potentials on complex affine varieties. This work builds on the solution to a complex Monge-Ampère equation obtained by Collins-Li and Collins-Tong-Yau.
We also show the suitably rescaled limits of the complex potentials coincide with their non-Archimedean counterparts in some situations, strengthening their connections.
