On the Painleve Conjecture in Celestial Mechanics - ICBS 2024

Explore the solution to the Painleve conjecture in celestial mechanics through a 52-minute conference talk delivered by Jinxin Xue at BIMSA for #ICBS2024. Delve into the intricacies of the Painleve conjecture, a statement made in 1897 that posits the existence of collisionless finite time blowup solutions in the Newtonian N-body problem for N>3. Learn about the construction of noncollision singularities for the four-body problem, which forms the basis of the speaker's approach to resolving this long-standing conjecture in celestial mechanics.