2009 Spring Southeastern Section Meeting
Raleigh, NC, April 4-5, 2009 (Saturday - Sunday)
Meeting #1048
Special Session on Geometry of Differential Equations (SS9A)
Organizers:
Thomas A. Ivey, College of Charleston
Irina A. Kogan, North Carolina State University
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Saturday April 4, 2009, 8:00 a.m.-10:50 a.m.
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8:00 a.m.
Cartan's equivalence method and singularity analysis.
Raouf Dridi*, Czech Technical University
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8:30 a.m.
Integrability of 2nd order PDE and the geometry of $GL(2,\mathbb{R})$-structures.
Abraham D. Smith*, Duke University
slides
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9:00 a.m.
Maximally symmetric hyperbolic equations of generic type.
Dennis The*, Texas A&M University
slides
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9:30 a.m.
Geometry of control-affine systems in low dimensions.
Jeanne Clelland*, University of Colorado, Boulder
Christopher Moseley, Calvin College
George Wilkens, University of Hawaii, Manoa
slides
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10:00 a.m.
On projective equivalence of univariate polynomial subspaces.
Peter Crooks, Dalhousie University, Halifax, Canada
Robert Milson*, Dalhousie University, Halifax, Canada
slides
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10:30 a.m.
Lie point symmetries and numerical solutions of differential equations.
Pavel Winternitz*, Universite de Montreal
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Saturday April 4, 2009, 2:30 p.m.-5:20 p.m.
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2:30 p.m.
Green's function for the Hodge Laplacian on some classes of Riemannian and Lorentzian symmetric spaces.
Niky Kamran*, McGill University
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3:00 p.m.
Klein geometry, group invariant soliton equations, and bi-Hamiltonian geometric curve flows.
Stephen Anco*, Brock University
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3:30 p.m.
Moving frames, variational problems, and geometric flows.
Peter J Olver*, University of Minnesota
slides
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4:00 p.m.
On the preservation of invariants of arc-length type by geometric Hamiltonian curve flows.
Gloria Mari Beffa*, University of Wisconsin, Madison
slides
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4:30 p.m.
Geometry of Hyperbolic Conservation Laws.
Kris Jenssen*, Penn State University
Irina Kogan, North Carolina State University
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5:00 p.m.
Austere Submanifolds of Dimension 4.
Marianty Ionel*, University of Toledo
Thomas Ivey, College of Charleston
slides
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Sunday April 5, 2009, 8:00 a.m.-10:50 a.m.
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8:00 a.m.
A fresh look at Darboux integrability for hyperbolic second-order differential equation in the plane.
Martin Juras*, Qatar University
slides
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8:30 a.m.
Symmetry classification of General rank-3 Pfaffian systems in 5-dimension.
Francesco Strazzullo*, Utah State University
slides
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9:00 a.m.
Pseudogroups, Moving Frames, and Invariant Variational Principles.
Juha Pohjanpelto*, Oregon State University
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9:30 a.m.
Bäcklund Transformations via Symmetry Reduction.
Ian Anderson*, Utah State Univ.
Mark Fels, Utah State Univ.
slides
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10:00 a.m.
Hamilton-Jacobi theory in Minkowski space via Cartan geometry.
Roman Smirnov*, Dalhousie University
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10:30 a.m.
Stability of Relative Equilibria of Discrete Nonholonomic Systems.
Cameron Lynch, North Carolina State University
Dmitry V Zenkov*, North Carolina State University
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Sunday April 5, 2009, 2:30 p.m.-3:20 p.m.