Diskrete Geometrie: Gitterpolytope

What it is about

You deal with convex, rational polyhedra and their relation to lattices. In the module you will learn central results such as Ehrhart theory (the connection between volume and the number of lattice points) as well as aspects of the geometry of numbers and unimodular triangulations, and you can apply these methods to examples from combinatorial geometry, integer optimization, and algebraic geometry.

What you will be able to do

• Apply algebraic and combinatorial methods to geometric problems
• Choose suitable tools for given problems
• Recognize connections between geometric, algebraic and combinatorial structures
• Analyze the interplay of these structures in examples

What the module consists of

• LectureTransmission of the theoretical foundations
• TutorialDeepening through examples and exercises
• Self-study/assignmentsIndependent practice and application of the material

Teaching method

• LecturePresentation of theory and central results
• Exercise courseApplication and practice through exercises
• Self-study assignmentsIndependent practicing and deepening of the material