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SUMMARY:Hans Z. Munthe-Kaas (Bergen)
DTSTART:20210618T093000Z
DTEND:20210618T101500Z
DTSTAMP:20260423T024721Z
UID:YRbGSA/16
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/YRbGSA/16/">
 Canonical Integration on Symmetric Spaces</a>\nby Hans Z. Munthe-Kaas (Ber
 gen) as part of Young Researchers between Geometry and Stochastic Analysis
  2021\n\n\nAbstract\nSymmetric spaces are fundamental in differential geom
 etry and harmonic analysis. Examples n-spheres and Grassmann manifolds\, t
 he space of positive definite symmetric matrices\, Lie groups with a symme
 tric product\, and elliptic and hyperbolic spaces with constant sectional 
 curvatures.\n\nSymmetric spaces are characterised by having an isometric s
 ymmetry in each point\, giving rise to a symmetric product structure on th
 e manifold. \n\nWe give an introduction to symmetric products and Lie trip
 le systems\, which describe their tangent spaces. \n\nA new geometric nume
 rical integration algorithm for differential equations evolving on symmetr
 ic spaces is discussed. The integrator is constructed from canonical opera
 tions on the symmetric space\, its Lie triple system (LTS)\, and the expon
 ential from the LTS to the symmetric space.\n
LOCATION:https://researchseminars.org/talk/YRbGSA/16/
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