Linear Algebra

The purpose of the course is to introduce the basic notions of linear algebra and its applications.

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Linear representation of finite groups

Group representation theory studies linear actions of a group G on a vector space V. This enables to tackle certain group theory problems by doing linear algebra. In this course, we will focus on the case where G is finite and V is finite-dimensional.

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Galois theory

This course begins with a review of the Galois theory seen in the second year : field extensions and the Galois correspondence. Further, we go on to present applications and extensions of this theory.

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Topics in the theory of reductive algebraic groups, Lie algebras, and representation theory I

The topics addressed in this course are the structure theory of reductive algebraic groups, their associated Lie algebras, the related finite groups of Lie type, and the representation theory of all of these objects.

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Topics in the theory of reductive algebraic groups, Lie algebras, and representation theory II

The topics addressed in this course are the structure theory of reductive algebraic groups, their associated Lie algebras, the related finite groups of Lie type, and the representation theory of all of these objects.

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Young Algebraists' Conference 2021

The summer school comprises of two mini-courses with the following topics: 1) Introduction to the modular representation theory of finite groups 2) Schur-Weyl duality and categorification

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