Learning objectives
Develope a proper mathematical language.
Own abstract concept, theorems and proofs concerning symplectic geometry.
Learn techniques to solve standard exercises and new problems, where the students need to elaborate a strategy similar to those seen in the lectures.
Prerequisites
Basic linear algebra, differential geometry, topology, and analysis.
Course unit content
Symplectic geometry
Full programme
Symplectic linear algebra;
Symplectic manifolds;
Local theory;
Almost symplectic structures;
Constructions.
Bibliography
1. McDuff D., Salamon D., introduction to symplectic topology (Oxford 1988), Clarendon Press.
2. Cannas da Silva, A., Lectures on symplectic Geometry, Springer-Verlag 2001.
Teaching methods
Lectures.
Assessment methods and criteria
Oral exam on exercises given during the course.
Other information
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2030 agenda goals for sustainable development
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