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MATH-492: Representation theory of semisimple lie algebras

Cours associés (69)

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MATH-616: Numerical methods for random PDEs and uncertainty

The course focuses on mathematical models based on PDEs with random parameters, and presents numerical techniques for forward uncertainty propagation, inverse uncertainty analysis in a Bayesian framew

MATH-686: Introduction to geometric representation theory

This course presents geometric constructions of irreducible representations of semi-simple Lie Algebras and their Weyl groups by means of Springer theory.

MATH-680: Monstrous moonshine

The monstrous moonshine is an unexpected connection between the Monster group and modular functions. In the course we will explain the statement of the conjecture and study the main ideas and concepts

MATH-620(1): 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 o

MATH-620(2): Topics in the theory of reductive algebraic groups, Lie algebras, and representation theory II

MATH-679: Group schemes

This is a course about group schemes, with an emphasis on structural theorems for algebraic groups (e.g. Barsotti--Chevalley's theorem). All the basics will be covered towards the proof of such theore

MATH-803: Young Algebraists' Conference 2021

The summer school comprises of two mini-courses with the following topics:

Introduction to the modular representation theory of finite groups
Schur-Weyl duality and categorification

MATH-495: Mathematical quantum mechanics

Quantum mechanics is one of the most successful physical theories. This course presents the mathematical formalism (functional analysis and spectral theory) that underlies quantum mechanics. It is sim

MATH-735: Topics in geometric group theory

The goal of this course/seminar is to introduce the students to some contemporary aspects of geometric group theory. Emphasis will be put on Artin's Braid groups and Thompson's groups.