Spectrum of Hyperbolic Surfaces

Related lectures (30)

Page 3 of 3

Explores the Jordan Curve Theorem, illustrating the division of a plane by a simple closed curve into two regions.

Covers the reconstruction of a table using diagonal matrices and explores extreme values and set definitions.

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

Covers modular curves as compact Riemann surfaces, explaining their topology, construction of holomorphic charts, and properties.

Covers the fundamentals of curvilinear integrals and their calculations, emphasizing the importance of orientation in integrals.

Explores shell components in transcendental parameter planes and attracting cycles.

Covers the Green-Riemann formula, connectedness by arcs, parametrization of curves, and open simply connected domains in the Oxy plane.

Explores the dynamics of singular Riemann surface foliations and their intricate behavior.

Explores the Monster group, a sporadic simple group with a unique representation theory.

Covers the unit tangent bundle of hyperbolic spaces and geodesic flows.