COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Rothschild Lecture: Thomson's 5 point problem

## Rothschild Lecture: Thomson's 5 point problemAdd to your list(s) Download to your calendar using vCal - Richard Schwartz (Brown University)
- Friday 07 April 2017, 16:00-17:00
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact info@newton.ac.uk. NPC - Non-positive curvature group actions and cohomology Thomson's problem, which in a sense goes back to J.J. Thomson's 1904 paper, asks how N points will arrange themselves on the sphere (or the circle, or some other space) so as to minimize their total electrostatic potential. Mathematicians and physicists have also considered this problem with respect to other potentials, such as power law potentials. For special values of N, and the sphere of the appropriate dimension, there are spectacular answers which say that the potential minimizers are highly symmetric objects, such as the regular icosahedron or the E8 cell. In spite of this work, very little has been proved about 5 points on the 2-sphere. In my talk I will explain my computer assisted but rigorous proof that there is a phase transition constant S=15.048… such that the triangular bi-pyramid is the minimizer with respect to a power-law potential if and only if the exponent is less or equal to S. (This constant was conjectured to exist in 1977 by Melnyk-Knop-Smith.) The talk will have some colorful computer demos. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
- Featured lists
- INI info aggregator
- Isaac Newton Institute Seminar Series
- School of Physical Sciences
- Seminar Room 1, Newton Institute
Note that ex-directory lists are not shown. |
## Other listsBirational geometry seminar Cambridge Natural History Society Martin Centre Research Seminar Series - 40th Annual Series of Lunchtime Lectures## Other talksKidney cancer: the most lethal urological malignancy Developing a Simulation-based Inferential Framework for Influenza Phylodynamics Electrical and Optical Properties of Hole Spin Storage Devices Based on InGaAs Self-assembled Quantum Dots Gendering Decryption - Decrypting Gender Measuring shape change by registration The cult of youth: rejuvenation in interwar Britain |