Lectures related to G-structure on a manifold

Free Groups: Introduction and Examples

Introduces free groups, explains their formation by generators, and provides illustrative examples.

Assistive Drawing Tools: Concepts and Applications

Covers the concepts and applications of assistive drawing tools, focusing on group structures and representations.

Active Learning: Group Structures and Symmetric Actions

Explores active learning implications in understanding group structures and symmetric actions.

Homotopy Classes and Group Structures

Explores wedges in pointed spaces, group structures, and the Echman-Hilton argument.

Manopt: Optimization Toolbox for Manifolds

Introduces Manopt, a toolbox for optimization on manifolds, focusing on solving optimization problems on smooth manifolds using the Matlab version.

Hands on with Manopt: Optimization on Manifolds

Introduces Manopt, a toolbox for optimization on smooth manifolds with a Riemannian structure, covering cost functions, different types of manifolds, and optimization principles.

Quotients of Linear Groups by Linearly Reductive Groups

Explores constructing quotients of linear algebraic groups by linearly reductive sub-groups.

Dynamics of Singular Riemann Surface Foliations

Explores the dynamics of singular Riemann surface foliations near singular points and their relation to compact manifolds.

Isomaphic Entue: Base Canonique and Free K-Modulus

Explores isomorphic structures, base canonique, invertible elements, and constructing smallest sev in vector spaces.

Groups & Subgroups: Definitions, Theorems, and Morphisms

Covers the fundamental concepts of groups and subgroups, including definitions, theorems, and morphisms.

Groups and Numbers: Mathematical Elements on Groups

Explores fundamental properties of groups and numbers, emphasizing equivalence classes and subgroup concepts.

Elliptic Curves: Group Structure and Isomorphism

Explores the group structure and isomorphism of elliptic curves, including inverses, associativity, and compactification to the torus.

Lie Groups: SU(2) and SO(3)

Covers Lie groups, focusing on SU(2) and SO(3), discussing group structure and representations.

Equilibrium in Tug of War

Delves into analyzing the equilibrium of individuals in a tug of war exercise using Cremona diagrams.

Lie Algebra of Lorentz Group

Covers the Lie algebra of the Lorentz group, focusing on boosts, rotations, and transformations.

Introduction, Ch V: Sylow Subgroups

Explores the study of finite groups through subgroup analysis, focusing on Sylow subgroups.

Differential Forms on Manifolds

Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.

Group Theory: Subgroups and General Group Actions

Explores group actions, defining functors on groups, and verifying properties of group actions.

Optimization on Manifolds: Context and Applications

Introduces optimization on manifolds, covering classical and modern techniques in the field.

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