Spectrum of Hyperbolic Surfaces

Related lectures (31)

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

Covers the concept of 2D rotations and their analytical expressions.

Covers rotations around fixed points and spherical coordinates, discussing cinematic moments and angular velocity.

Covers the composition of geometric transformations in 2D, focusing on rotations and reflections to achieve specific results.

Explores rotations as isometries composed of reflections with common axes and the flexibility in choosing rotation axes.

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

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

Explores rotation in analytical geometry, including center coordinates and fixed points.

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

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