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Dennis The, A Cartan-theoretic Perspective on (2,3,5)-distributions

February 2 @ 4:00 pm - 5:00 pm KST

B236-1, IBS Korea, Republic of


Dennis The
UiT The Arctic University of Norway

Generic rank 2 distributions on 5-manifolds, i.e. “(2,3,5)-distributions”, are interesting geometric structures arising in the study of non-holonomic systems, underdetermined ODE of Monge type, conformal 5-manifolds with special holonomy, etc. The origins of their study date to Élie Cartan’s “5-variables” paper of 1910, where he gave a tour-de-force application of his method of equivalence. In my talk, I’ll revisit the classification of homogeneous (2,3,5)-distributions from a modern “Cartan-theoretic” perspective. In particular, I’ll discuss from this viewpoint the exceptionality of the 3:1 ratio for two spheres rolling on each other without twisting or slipping.


February 2
4:00 pm - 5:00 pm KST
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IBS Korea, Republic of


Jun-Muk Hwang
IBS 복소기하학연구단 Center for Complex Geometry
기초과학연구원 복소기하학연구단
대전 유성구 엑스포로 55 (우) 34126
IBS Center for Complex Geometry
Institute for Basic Science (IBS)
55 Expo-ro Yuseong-gu Daejeon 34126 South Korea
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