Fri, 22 May 2020
16:00 -
17:00
Virtual
North Meets South
Lucie Domino and Clemens Koppensteiner
(University of Oxford)
Abstract
Lucie Domino
How to build 3D shapes from flat sheets using a three-centuries old theory
In this talk, I’ll present some of our recent work on morphing structures. We start from flat two-dimensional sheets which have been carefully cut and transform them into three-dimensional axisymmetric structures by applying edge-loads. We base our approach on the well-known Elastica theory developed by Euler to create structures with positive, negative, and variable Gaussian curvatures. We illustrate this with famous architectural examples, and verify our theory by both numerical simulations and physical experiments.
Clemens Koppensteiner
Logarithmic Riemann-Hilbert Correspondences
The classical Riemann-Hilbert correspondence is an elegant statement linking geometry (via flat connections) and topology (via local systems). However, when one allows the connections to have even simple singularities, the naive correspondence breaks down. We will outline some work on understanding this "logarithmic" setting.
The classical Riemann-Hilbert correspondence is an elegant statement linking geometry (via flat connections) and topology (via local systems). However, when one allows the connections to have even simple singularities, the naive correspondence breaks down. We will outline some work on understanding this "logarithmic" setting.
