Finiteness of central configurations of n bodies in the plane via tropical geometry
Người báo cáo: Professor Anton Leykin (Georgia Tech, School of Mathematics)
Time: 9:30 - 11:30, 13 January 2026
Venue: Room 507, A6, Institute of Mathematics
Online (Zoom meeting): https://zoom.us/j/99636681387?pwd=0WscBnehOJig68SqctGluVuA3RwraE.1
Meeting ID: 996 3668 1387
Passcode: 123456
Abstract: We present a new method to attempt proving that, for a given n, there are finitely many equivalence classes of planar central configurations in the Newtonian n-body problem for generic masses.
Our technique relies on tropical geometry and massive polyhedral computation. We have completed a computer-assisted proof for n > 4 and made progress toward a proof for n=6, which is the next unsettled case for this version of Smale's sixth problem. (Joint with Anders N. Jensen).
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