For more information about this meeting, contact Ping Xu.
| Title: | Symplectic groupoids and discrete constrained Lagrangian mechanics |
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| Seminar: | GAP Seminar |
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| Speaker: | Ari Stern, University of California, San Diego |
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| Abstract: |
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| The subject of discrete Lagrangian mechanics concerns the study of
certain discrete dynamical systems on manifolds, whose geometric
features are analogous to those in classical Lagrangian mechanics.
While these systems are quite mathematically interesting, in their own
right, they also have important applications to structure-preserving
numerical simulation of dynamical systems in geometric mechanics and
optimal control theory. In fact, these structure-preserving
properties are intimately related to the geometry of symplectic
groupoids, Lagrangian submanifolds, and generating functions. In this
talk, we describe how a more general notion of generating function can
be used to construct Lagrangian submanifolds, and thus discrete
dynamics, even for systems with constraints. Within this framework,
Lagrange multipliers and their dynamics are shown to arise in a
natural way. |
Room Reservation Information
| Room Number: | MB315 |
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| Date: | 05 / 06 / 2011 |
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| Time: | 10:30am - 11:30am |
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