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The aim of the research summer school is to present several different modern perspectives on the rigidity and deformability of optimum point configurations. Three main points of view are presented in the lecture courses: the point of view of material science and elasticity; the point of view of approximation theory; and the point of view of the methods of Viazovska, based on linear programming bounds.

The workshop is funded by the , , and UCL.

The three main lecture course topics are:

• Crystallization in classical particle systems (, Technical University of Munich)
• Discrete Energy on Rectifiable Sets ( and , Vanderbilt University)
• Modular forms, universal optimality and Fourier interpolation (Danylo Radchenko, ETH Zurich)

These lecture courses will be supplemented by tutorial sessions. Additionally, there will be three plenary talks by:

• (Warwick University)
• (Microsoft Research New England)
• (New York University)

There will also be an opportunity for the participants to present posters or give short talks on their own research.

Organisers: (UCL) and (PUC, Santiago)

Location: Lecture Theatre G12, 1-19 Torrington Place, University College London, UK

Further information (including how to register) is available from the .