Projektive Geometrie 2

What it is about

You explore selected topics of projective geometry and learn to apply algebraic and combinatorial methods to geometric problems. In the end you can, for example, purposefully use tensor or Clifford algebra, apply combinatorial tools such as oriented matroids or polytope theory, and explain the interplay between geometry, combinatorics and algebra in concrete examples.

What you will be able to do

• Apply algebraic techniques (e.g. tensor or Clifford algebra) to geometric problems
• Select suitable tools for given geometric situations
• Apply combinatorial methods (e.g. oriented matroids, polytopes) to geometric questions
• Understand the relationships between geometric, combinatorial and algebraic structures

What the module consists of

• VorlesungDelivery of content through lectures, demonstrative examples and discussions
• Übung/Practice sessionsDeepening the content based on exercises and solutions; initial support, later more independent work in small groups

Teaching method

• Lecture with examples and discussionpresents the content, motivates own analysis and study of the literature
• Practice sessions with tasks and solutionsenable deepening, self-check and collaborative or individual work