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Universität Augsburg
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Universität Augsburg
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Navid Emami
Ludwig-Maximilians-Universität München
spricht am
Dienstag, 14. Juli 2026
um
10:00 Uhr
im
Raum 1010 (L1)
über das Thema:
| Abstract: |
| Lagrangian field theory is a cohomological approach to describe physical theories underlying Hamilton's action principle for a local Lagrangian. After an introduction to the setup of local differential forms (i.e. bigraded differential forms on the infinite jet bundle), the focus will lie on the emergence of a canonical (pre-)symplectic form on the space of solutions to the Euler-Lagrange equations, and how the Noether theorem for a given Lie algebra of symmetries of the theory gives rise to a Poisson algebra of "conserved charges". Different aspects and versions of these statements as well as a classification of such symmetries by their Lie algebra cohomology will be illustrated by a series of examples. These include (pre-)symplectic structures and Poisson algebras for systems from classical mechanics, conformal field theory, and water waves modelled by the Korteweg-de Vries equation. |
| Hierzu ergeht herzliche Einladung. |
| Prof. Dr. Kai Cieliebak |