What it is about
You will learn the fundamentals of projective geometry: projective spaces, their transformation groups and algebraic representations of geometric structures. In the end you will be able to apply projective viewpoints to different geometries and understand the role of transformations and algebraic methods in this context.
What you will be able to do
- Describe projective spaces and their transformations
- Apply algebraic representations of geometric structures
- Recognize invariant geometric properties
- Explain differences and similarities between real and complex projective geometry
- Classify small subgeometries projectively
What the module consists of
- VorlesungTransmission of theoretical content with examples and discussion
- Übung/Practice sessionsDeepening through exercises, solutions and increasingly independent work
Teaching method
- Vortrag mit Beispielen und Diskussionfor the introduction of content and collaborative development
- Übungssitzungen mit Aufgabenblätternfor self-study, checking understanding and group work
- Online-Formate und elektronische Tafel/Präsentationento support synchronous and asynchronous learning