Leech lattice

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Related lectures (9)

Vertex Operator Algebras: Conformal Vectors and Virasoro Algebra

Explores conformal vectors, Virasoro algebra, and Heisenberg vertex algebra in the theory of vertex operator algebras.

E8 Lattice Optimality

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

Extremal Lattices

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

Lattices, Minkowski's Theorem

Explores lattices, Minkowski's Theorem, and properties of symmetric convex sets.

Dynamics on Homogeneous Spaces and Interactions with Number Theory

Explores dynamics on homogeneous spaces and their interactions with number theory, focusing on modular lattices and the Iwasawa decomposition theorem.

LLL Algorithm

Covers the LLL algorithm for lattice reduction and discusses Hermite's constant and Minkowski's theorem.

Extreme Problems in Diophantine Approximation and Dynamics

Explores the Logarithmic Law, geodesic flows, hyperbolic surfaces, and rare events in probability.

Lattices: Properties and Theta Functions

Explores lattices in Rd, Gram matrices, theta functions, and modular properties.

Integral Quadratic Lattices: Properties and Adeles

Covers non-degenerate integral quadratic lattices and adèles, including their properties and definitions.

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