L-values and Extensions

Related lectures (31)

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Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.

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

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

Explores modular forms, discussing pullback maps, meromorphic differentials, and the Riemann-Roch theorem.

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

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

Delves into the construction and optimality of the E8 lattice as the densest sphere packing in dimension eight.

Explores cohomology and the cross product, demonstrating its application in group actions like conjugation.

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

Explores the Galois theory of Qp, covering algebraic extensions, inertia groups, and cyclic properties.