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Related lectures (31)
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Lattices: Theory and Applications
Explores the theory of lattices, their properties, and applications in different mathematical contexts, emphasizing local-global principles.
Asymptotic States and S-matrix: Operators
Explores asymptotic states, S-matrix, and operators in quantum field theory, emphasizing the role of discrete symmetries and complete sets of states.
Crystallography: Describing Periodic Structures
Covers crystallography, lattice structures, vectors, and diffraction patterns.
Characterization of Infimum and Supremum
Explores the definitions and properties of infimum and supremum in mathematical analysis.
Canonical Embedding: Fields and Lattices
Explores canonical embedding of #-fields, lattices, and finiteness of class groups.
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Dimension theory of rings
Covers the dimension theory of rings, including additivity of dimension and height, Krull's Hauptidealsatz, and the height of general complete intersections.
Hermite Normal Form: Computation & Properties
Covers the computation and properties of the Hermite Normal Form (HNF) in matrix theory and lattice theory.
Infimum and Supremum of Subsets
Covers the concepts of infimum and supremum of subsets in real numbers.
Embeddings of Number Fields
Explores embeddings of number fields, types, signatures, lattices, and determinants.
