The purpose of this course is to introduce the basic notions of linear algebra and to prove the main results of the subject.
The purpose of the course is to introduce the basic notions of linear algebra and its applications. This pilot class is given with a flipped design.
This course will explain the theory of vanishing cycles and perverse sheaves. We will see how the Hard Lefschetz theorem can be proved using perverse sheaves. If we have more time we will try to see the decomposition theorem and how to categorify certain perverse sheaves.