ADVANCED GEOMETRY 2
cod. 23013

Academic year 2024/25
1° year of course - First semester
Professor
Michela ZEDDA
Academic discipline
Geometria (MAT/03)
Field
Attività formative affini o integrative
Type of training activity
Related/supplementary
48 hours
of face-to-face activities
6 credits
hub: PARMA
course unit
in ITALIAN

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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