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.
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.
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.
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.
Galois Extensions and Galois Groups - Lecture 14
Explore Galois extensions and groups, delving into fundamental concepts and initial examples in algebraic theory.
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.
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.
Differential Galois Theory and the Algebraicity of Solutions - Part 3
Delve into advanced concepts of Differential Galois Theory, exploring algebraicity of solutions and their applications in singular differential equations with mathematician Michael Singer.