| Abstract: |
| Self-similar solutions for the n-body problem, whose configurations are known as central configurations, are of special importance in celestial mechanics. Its finiteness is a long standing open problem. In this talk we will briefly outline some breakthroughs in the past two decades, in particular Hampton-Moeckel`s work for the case n=4 by (Invent. Math. 2006), and Albouy-Kaloshin`s work for the case n=5 (Ann. Math. 2012). In this talk we will report our recent progress for the case n=6 by symbolic computations. |
|