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Seminar on the History of Mathematics
February 7, 2019 18:00, St. Peterburg
 


The topological development of the last geometric Poincare theorem

A. N. Kirillov
Video records:
MP4 1,351.4 Mb
MP4 696.1 Mb
Materials:
Adobe PDF 292.3 Kb
Adobe PDF 1.0 Mb

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A. N. Kirillov


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Abstract: In 1925, G. Birkhoff generalized the last geometric Poincare’s theorem (1912), rejecting the area preserving assumption. This Birkhoff’s paper initiated intensive investigations in the direction of the Poincare theorem topological version development, proceeding till nowadays, that are motivated, besides pure mathematical importance, by a necessity to obtain a tool for establishing the existence of periodic solutions of differential equations. The history of these investigations is concerned with such names as L.E.J. Brouwer, B. de Kerékjarto, J.Franks, P.Carter and others.

Materials: kirillov_starkov_jfpta.poincare.pdf (292.3 Kb), kirillov_poincare_topological_version.pdf (1.0 Mb)

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