Introduce the students to the construction of Floer homology in the simplest setting and making sure that the analytic foundations are well understood. If time permits, we will explore the complications to extending this construction to more complex settings.
Literature
M. Audin & M. Damian: Morse theory and Floer homology D. McDuff & D. Salamon: Introduction to symplectic topology
Competencies
Subject-specific Competencies
Concepts and Theories
assessed
Techniques and Technologies
assessed
Method-specific Competencies
Analytical Competencies
fostered
Problem-solving
assessed
Personal Competencies
Adaptability and Flexibility
fostered
Creative Thinking
fostered
Critical Thinking
fostered
Integrity and Work Ethics
fostered
Self-awareness and Self-reflection
fostered
Self-direction and Self-management
fostered
Performance assessment
Performance assessment information (valid until the course unit is held again)