Concept
Unimodular lattice
Related lectures (32)
Extremal Lattices
Explores extremal lattices, emphasizing bounds on shortest vectors and unique modular forms.
E8 Lattice Optimality
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Explores lattices in Rd, Gram matrices, theta functions, and modular properties.
Crystallography: Describing Periodic Structures
Covers crystallography, lattice structures, vectors, and diffraction patterns.
Monstrous Moonshine
Explores Monstrous Moonshine, focusing on the 1979 discovery and its mathematical connections.
Crystal Structure: Real and Reciprocal Lattice
Explores crystal structure, real and reciprocal lattice, and Miller indices in the context of wave-particle duality and Schrodinger equation.
Reciprocal lattice: basics and propertiesMOOC: Transmission Electron Microscopy for Materials Sciences
Covers the basics of the reciprocal lattice in electron diffraction, including diffraction vector geometry and properties of reciprocal lattice unit cell vectors.
Vertex Operator Algebras: Conformal Vectors and Virasoro Algebra
Explores conformal vectors, Virasoro algebra, and Heisenberg vertex algebra in the theory of vertex operator algebras.
System Equivalence
Explores system equivalence, state-space representation, transfer functions, and Euclidean rings, emphasizing unimodular matrices and their properties.
Integral Quadratic Lattices: Properties and Adeles
Covers non-degenerate integral quadratic lattices and adèles, including their properties and definitions.