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This conference session focuses on the topics of instantons, suspension, and surgery in the context of gauge theory and low-dimensional topology. The course aims to deepen understanding of relative invariants for manifolds with one boundary component, explore the concept of suspension, and demonstrate the application of these ideas in proving inequalities and studying obstructed cobordism maps. The teaching method involves theoretical explanations and examples. This course is intended for individuals interested in advanced topics in mathematics, particularly in the fields of gauge theory and low-dimensional topology.