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The main goal of this course is to provide an introduction to the subject of topological phenomena in condensed-matter.
After an introduction to the mathematical tools, we will focus on electronic models and discuss how topology plays a major role in shaping their physical properties.
We will then move to the quantum Hall effect and discuss its spectacular phenomenology, deeply rooted into topological notions, from robust edge states to fractionalised excitations, such as Majorana fermions.
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