Manno G. Conformal geometric aspects of hyperplane sections of Lagrangian Grassmannians, talk at The Workshop on Integrable Nonlinear Equations, 18-24 October 2015, Mikulov, Czech Republic (abstract): Difference between revisions
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Created page with "{{MeetingTalk | speaker = Giovanni Manno | title = Conformal geometric aspects of hyperplane sections of Lagrangian Grassmannians | abstract = The Lagrangian Grassmannian L(2,..." |
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| title = Conformal geometric aspects of hyperplane sections of Lagrangian Grassmannians | | title = Conformal geometric aspects of hyperplane sections of Lagrangian Grassmannians | ||
| abstract = The Lagrangian Grassmannian L(2,4) is a smooth 3-dimensional manifold naturally equipped with a conformal metric. We will use this structure to define a conformally invariant second-order differential operator whose vanishing characterizes the hyperplane sections of L(2,4). We shall generalize such a result to L(3,6), where the natural conformal structure is no longer represented by a metric, but by a symmetric 3-tensor instead. This talk is based upon an ongoing work with G.Moreno and J.Gutt. | | abstract = The Lagrangian Grassmannian L(2,4) is a smooth 3-dimensional manifold naturally equipped with a conformal metric. We will use this structure to define a conformally invariant second-order differential operator whose vanishing characterizes the hyperplane sections of L(2,4). We shall generalize such a result to L(3,6), where the natural conformal structure is no longer represented by a metric, but by a symmetric 3-tensor instead. This talk is based upon an ongoing work with G.Moreno and J.Gutt. | ||
| slides = | | slides = [[Media:Manno G. Conformal geometric aspects of hyperplane sections of Lagrangian Grassmannians (presentation at The Workshop on Integrable Nonlinear Equations, 18-24 October 2015, Mikulov, Czech Republic).pdf|Manno G. Conformal geometric aspects of hyperplane sections of Lagrangian Grassmannians (presentation at The Workshop on Integrable Nonlinear Equations, 18-24 October 2015, Mikulov, Czech Republic).pdf]] | ||
| references = | | references = | ||
| 79YY-MM-DD = 7984-89-81 | | 79YY-MM-DD = 7984-89-81 | ||
}} | }} | ||
Latest revision as of 16:49, 23 November 2015
Speaker: Giovanni Manno
Title: Conformal geometric aspects of hyperplane sections of Lagrangian Grassmannians
Abstract:
The Lagrangian Grassmannian L(2,4) is a smooth 3-dimensional manifold naturally equipped with a conformal metric. We will use this structure to define a conformally invariant second-order differential operator whose vanishing characterizes the hyperplane sections of L(2,4). We shall generalize such a result to L(3,6), where the natural conformal structure is no longer represented by a metric, but by a symmetric 3-tensor instead. This talk is based upon an ongoing work with G.Moreno and J.Gutt.