Unit Tangent Bundle of Hyperbolic Spaces

Related lectures (28)

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Covers the properties and applications of modular forms and discusses equidistribution and modularity.

Covers the Fourier expansion of modular forms and the Rankin-Selberg method.

Covers dimension formulas for modular forms and related proofs using Riemann-Roch corollaries.

Covers the theory behind Gaussian processes and the design of receivers using MAP calculations.

Covers the Petersson inner product and Hecke operators in modular forms theory, exploring their definitions and properties.

Explores meromorphic differentials on Riemann surfaces and modular forms on congruence subgroups.

Delves into the representation of SL2Z and the function F, exploring its transformation properties and relation to modular forms.

Covers determinantal point processes, sine-process, and their extrapolation in different spaces.

Delves into Macdonald identities, covering affine root systems, modular forms, and Lie algebras.

Explores extremal lattices, emphasizing bounds on shortest vectors and unique modular forms.