Galois Groups Courses and Certifications

UC Berkeley

Mathematics: the Language of Nature

3 reviews

Join mathematician Edward Frenkel as he discusses how the elegant mathematical formulation of symmetry has been used throughout math and physics and could, through the Langlands program, give rise to a grand unified theory of mathematics.

• World Science U
• On-Demand
• Free Online Course

Mathemaniac

Why You Can't Solve Quintic Equations - Galois Theory Approach

Explore the fascinating world of Galois theory and discover why quintic equations can't be solved using a formula, with insights accessible to math enthusiasts of all levels.

• YouTube
• 45 minutes
• On-Demand
• Free Video

Fields Institute

Oriented Cayley Graphs

Explore oriented Cayley graphs, quantum walks, and association schemes. Discover applications in algebraic graph theory and quantum information, with insights on special eigenvalues and Galois groups.

• YouTube
• 49 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

The Galois Group of the Category of Mixed Hodge Tate Structures

Explore the Galois group of mixed Hodge-Tate structures, focusing on Tannakian formalism and the canonical description of the Hopf algebra in relation to graded comodules.

• YouTube
• 59 minutes
• On-Demand
• Free Video

Galileo Galilei Institute

Motivic Galois Theory of Algebraic Mellin Transforms

Explore the intricate connections between algebraic geometry and number theory through the lens of motivic Galois theory and Mellin transforms.

• YouTube
• 41 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

The Galois Group of the Category of Mixed Hodge-Tate Structures

Explore the Galois group of mixed Hodge-Tate structures, examining its Hopf algebra structure, derived category models, and applications to period theory in complex and p-adic settings.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

NPTEL-NOC IITM

Galois Extensions and Galois Groups - Lecture 14

Explore Galois extensions and groups, delving into fundamental concepts and initial examples in algebraic theory.

• YouTube
• 31 minutes
• On-Demand
• Free Video

NPTEL-NOC IITM

Solvable Groups: Polynomial Solvability and Galois Theory - Part 1

Explore solvable groups, their connection to polynomial solvability, and their applications in Galois theory and field theory.

• YouTube
• 27 minutes
• On-Demand
• Free Video

Introduction à la théorie de Galois

66 ratings at Coursera

Exploration approfondie de la théorie de Galois, des extensions de corps aux groupes de permutations, culminant avec la correspondance de Galois et ses applications en algèbre et théorie des nombres.

• Coursera
• 13 hours
• On-Demand
• Free Online Course (Audit)

Introduction to Galois Theory

Explore field extensions, Galois groups, and equation solvability. Learn to compute Galois groups, study properties of field extensions, and understand the limitations of solving higher-degree equations.

• Coursera
• 9 weeks
• Finished
• Free Online Course (Audit)

Chennai Mathematical Institute;  NPTEL

Introduction to Galois Theory

Explore algebraic structures, field extensions, and Galois groups. Delve into fundamental theorems and applications like insolvability of quintics and cyclotomic extensions.

• Swayam
• 8 weeks
• Finished
• Free Online Course