12-18【王滢】Non-Archimedean Calabi-Yau Potentials on Certain Affine Varieties

发布时间:2025-11-06来源:几何与物理研究中心中文网页浏览次数:10

报告人:王滢(密歇根大学)

时间:2025年12月18日10:00-11:00  

地点:物质科研楼C1124


  

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.