Hodge theory

Related lectures (9)

Explores étale motivic cohomology and the Hodge conjecture with a focus on counter-examples.

Explores algebraic cycles, etale cohomology, and counterexamples to the Hodge conjecture.

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

Introduces Hodge duality, covariant derivatives, and key concepts in differential geometry.

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Covers Fourier series, harmonic decomposition, and limit cycle prediction in dynamic systems.

Explores holomorphic functions in complex analysis and the Cauchy-Riemann equations.

Explores meromorphic functions, poles, residues, orders, divisors, and the Riemann-Roch theorem.

Explores harmonic forms on Riemann surfaces, covering uniqueness of solutions and the Riemann bilinear identity.

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