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[Colloquium] The Bonnet Problem: Is a Surface Characterized by Its Metric and Curvatures?
May. 22, 2026


Date: May 22, 2026, 14:00–15:00

Venue: Siyuan Hall, Zhihua Building

Speaker: Alexander Bobenko

Abstract:
The Bonnet problem investigates if a compact surface is uniquely defined by its metric and mean curvature. In joint work with Tim Hoffmann and Andrew Sageman-Furnas, the first compact Bonnet pair was constructed using discrete differential geometry—two isometric tori in 3D Euclidean space with preserved mean curvature—and were proved to be real-analytic. 

About the Speaker:
Alexander Bobenko is a mathematics professor at the Technical University of Berlin. He earned his PhD in mathematical physics in 1985. His research interests include geometry, mathematical physics, and applications.

Written by: Tan Li Ya Olivia
Edited by: Rachel Lee
Source: School of Mathematical Sciences (WeChat)