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L-values and Extensions
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Related lectures (31)
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Étale Motives and the Hodge Conjecture
Explores étale motivic cohomology and the Hodge conjecture with a focus on counter-examples.
Algebraic Cycles and Etale Cohomology
Explores algebraic cycles, etale cohomology, and counterexamples to the Hodge conjecture.
Differential Forms Integration
Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.
Meromorphic Differentials and Modular Forms
Explores meromorphic differentials on Riemann surfaces and modular forms on congruence subgroups.
Canonical Divisors and Modular Forms
Covers canonical divisors on Riemann surfaces and properties of modular forms.
Modular Forms: Dimension Formulas
Covers dimension formulas for modular forms and related proofs using Riemann-Roch corollaries.
Modular Curves: Genus and Mapping Theorems
Explores holomorphic maps, ramification points, and the genus of a modular curve.
Multiple Integrals: Extension and Properties
Explores the extension and properties of multiple integrals for continuous functions on rectangles.
Fourier Expansion and Modular Forms
Covers the Fourier expansion of modular forms and the Rankin-Selberg method.
Unit Tangent Bundle of Hyperbolic Spaces
Covers the unit tangent bundle of hyperbolic spaces and geodesic flows.