Point Configurations: Deformations and Rigidity
Date: 27 June - 1 July 2022
Location: University College London
Event type: Research School
Organisers: Codina Cotar (UCL), Mircea Petrache (PUC)
The study of emergent properties of large systems of points is a topic of central importance in the era of big data and of nanotechnology. The search for robust principles ensuring rigidity and stability of crystalline regular configurations, as well as the conditions of deformability of such structures, forms a truly interdisciplinary topic of great recent interest in mathematics, physics, and computer science.This research school will present several different modern perspectives on the rigidity and deformability of optimum point configurations. The three lecture course topics are:
Gero Friesecke: Crystallization in classical particle systems
Douglas Hardin and Edward Saff: Discrete energy on rectifiable sets
Danylo Radchenko: Modular forms, universal optimality and Fourier interpolation
These topics will be complemented by tutorial sessions eminent plenary lecturers, presenting links to other fields and enhancing the interdisciplinarity of the school.
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