Canonical Divisors and Modular Forms

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

Explores the construction of Riemann surfaces from equilateral triangles and the dynamics of finite-type maps.

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

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

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

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

Explores de Rham theory, L-values, and extensions, including special value formulas and examples related to Hecke characters and modular forms.

Explores essential chief series in tdlc groups, focusing on closed, normal subgroups and their chief factors.

Explains the Open Mapping Theorem for holomorphic maps between Riemann surfaces.

Covers the topology of Riemann surfaces and the concept of triangulation using finitely many triangles.