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Universität Augsburg
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Universität Augsburg
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Professor Dr. Michael Hutchings
UC Berkeley
spricht am
Dienstag, 20. Juni 2017
um
17:30 Uhr
im
Raum 2004 (L1)
über das Thema:
| Abstract: |
| A basic question in symplectic geometry is to determine when one symplectic manifold with boundary (such as a domain in 2n-dimensional Euclidean space) can be embedded into another, preserving the symplectic structure. Another basic question is to understand the periodic orbits of Hamiltonian vector fields (more precisely Reeb vector fields) on the boundaries of such domains. It turns out that these two questions are closely related: the periodic orbits of the Reeb vector field give rise to obstructions to symplectic embeddings. In particular, the periodic orbits can be used to define numerical invariants of symplectic manifolds with boundary, called “symplectic capacities”, which are monotone under symplectic embeddings. In the talk, we will first review the above story. We will then discuss some recent work on defining and computing certain symplectic capacities combinatorially for “convex toric domains”. As an application, we obtain sharp obstructions to symplectic embeddings in many cases when the domain of the embedding is a cube. The new part of this talk is joint work with Jean Gutt. |
| Hierzu ergeht herzliche Einladung. |
| Prof. Dr. Kai Cieliebak |
Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).