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The Skoll Centre for Social Entrepreneurship (Saïd Business School) will be hosting a Map the System info session for Oxford students on 
Wednesday, 12th February 2025, 18:00 – 20:30 GMT
Discover the studentships we currently have available and find out more about our involvement with a range of Doctoral Training Partnerships and similar schemes.
We are delighted to announce PROMYS Europe 2025, INTRODUCTION TO DISCRETE ENERGY ON RECTIFIABLE SETS
Abstract
Discrete and continuous energy problems that arise in a variety of scientific contexts are introduced, along with their fundamental existence and uniqueness results. Particular emphasis will be on Riesz and Gaussian pair potentials and their connections with best-packing and the discretization of manifolds. The latter application leads to the asymptotic theory (as N → ∞) for N-point configurations that minimize energy when the potential is hypersingular (short-range). For fixed N, the determination of such minimizing configurations on the d-dimensional unit sphere S d is especially significant in a range of contexts that include coding theory, discrete geometry, and physics. We will review linear programming methods for proving the optimality of configurations on S d , including Cohn and Kumar’s theory of universal optimality. The following reference will be made available during the short course: Discrete Energy on Rectifiable Sets, by S. Borodachov, D.P. Hardin and E.B. Saff, Springer Monographs in Mathematics, 2019.
Sessions:
Friday, 24 January 14:00-16:00
Friday, 31 January 14:00-16:00