Speaker:

Richard Schwartz (Brown and Oxford)

Date/Time:

Mon, 21/01/2013 - 16:30

Room:

M103

Seminar series:

In 1904, J. J. Thomson asked how N electrons would arrange themselves on the sphere so as to minimize their total Coulomb energy. In case N=2,3,4,6,12, the answer is that the points arrange themselves into the most symmetrical possible arrangement - e.g., a regular pyramid in case N=4. I will explain my recent computer-assisted proof that the triangular bi-pyramid is the unique energy minimizing configuration in the case N=5.

Speaker's webpage

http://www.math.brown.edu/~res/

Related material

http://www.math.brown.edu/~res/Papers/electron.pdf