Lectures related to Symmetries of Navier-Stokes Equations

Symmetries of Navier-Stokes Equations

Explores the symmetries of Navier-Stokes equations in periodic boxes, including translations, transformations, rotations, and scaling.

Symmetries in Mechanics and Wave Equations

Explores symmetries in Newtonian mechanics and wave equations, highlighting their significance in understanding physical laws.

Rotations and Symmetries

Covers the preservation of isometry by rotations and symmetries.

Symmetry Operations in Materials Science

Covers symmetry operations in materials science, including rotations and helical axes.

Symmetry in the Plane

Explores the modern definition of symmetry and its practical applications.

Geometric Transformations in R2 and R3: Visualizations and Rotations

Covers visualizations in orthonormal bases in R2, focusing on rotations and reflections.

Conformal Transformations: Part 1

Covers the topic of conformal transformations, including translations, dilations, rotations, and the conformal algebra.

Symmetries in Physics

Explores known symmetries in physics, such as space translations and rotations, explained by Tobias Schneider.

Spinorial Fields: Lorentz Group Representation

Covers the most general representation of Lorentz group on spinorial fields.

Isometries in Euclidean Spaces

Explores isometries in Euclidean spaces, including translations, rotations, and linear symmetries, with a focus on matrices.

Symmetry in Modern Geometry

Delves into modern geometry, covering transformations, isometries, and symmetries.

Symmetries of the Wave Equation

Explores the symmetries of the wave equation under Lorentz transformations and the Poincare group.

Wigner Theorem; Translation Symmetry

Explores the Wigner theorem, translation symmetry, eigenstates, and wave functions in quantum physics.

Lorentz Invariance: Velocities, Time Dilation, Length Contraction

Explores Lorentz invariance, covering velocities, time dilation, and length contraction, with implications for symmetries and physical interpretations.

Isometries & Orientation in Modern Geometry

Explores true angle magnitude, reflections, isometries, and symmetries in modern geometry, with practical CAD applications.

Isometries: Definition and Examples

Explores isometries, distinguishing between rotations and reflections, and the preservation of orientation in geometric transformations.

Advanced Physics I

Covers velocity, acceleration, dynamics, moments of inertia, and kinetic energy storage systems.

Lie Algebra of Lorentz Group

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

Symmetries of Ornamental Friezes

Explores the symmetries of frieze patterns and their extension to plane tilings.

Isometries & Orientation: Modern Symmetry

Explores isometries, reflections, rotations, and translations in space, as well as the structure theorem and configurations of planes and lines.