Event calendar file
19-23 June 2023
Faculty of Physics, University of Warsaw
Europe/Warsaw timezone
How discrete integrable systems helped to solve a classical problem in differential geometry
Presented by Prof. Alexander BOBENKO
on
20 Jun 2023
from
17:00
to
17:30
Session:
Discrete differential geometry
Content
We consider a classical problem in differential geometry, known as the Bonnet problem, whether a surface is characterized by a metric and mean curvature function. We explicitly construct a pair of immersed tori that are related by a mean curvature preserving isometry. This resolves a longstanding open problem on whether the metric and mean curvature function determine a unique compact surface. Discrete integrable systems and discrete differential geometry are used to find crucial geometric properties of surfaces. This is a joint work with Tim Hoffmann and Andrew Sageman-Furnas.
Place
Location: Faculty of Physics, University of Warsaw
Address: Pasteura 5, Warsaw
Room: Lecture hall: 0.06
