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).
Tin tức nổi bật
Hoạt động tuần
Hội thảo sắp diễn ra
23/03/26, Hội nghị, hội thảo:
Workshop on Graphs and Beyond
02/04/26, Hội nghị, hội thảo:
Hội thảo Phương trình vi phân và ứng dụng
23/04/26, Hội nghị, hội thảo:
Hội thảo TỐI ƯU VÀ TÍNH TOÁN KHOA HỌC lần thứ 24
Xuất bản mới
Florian Bridoux,
Christophe Crespelle,
Phan Thị Hà Dương,
Adrien Richard,
Dividing sum of cycles in the semiring of functional digraphs,
Natural Computing, Vol. 25, No. 1, 2026.
.
Giang Trung Hiếu,
Nguyễn Minh Trí,
Đặng Anh Tuấn,
On some Sobolev and Pólya-Szegö type inequalities with weights and applications,
Journal of Mathematical Analysis and Applications, Volume 561, Issue 2, 15 September 2026, 130591
.
Ha Dung M,
Hoàng Đức Anh,
Ngô Trung Hiếu,
On the least almost-prime in an arithmetic progression,
Mathematika 72 (2026), no. 2, Paper No. e70080.
.