Pontryagin duality

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Related lectures (21)

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Distribution & Interpolation Spaces

Covers the concept of distributions with compact support and their interpolation spaces.

Open Mapping Theorem

Explains the Open Mapping Theorem for holomorphic maps between Riemann surfaces.

FK-Percolation and the Six-Vertex Model: Critical Phenomena

Covers the transition from the six-vertex model to FK-percolation, focusing on critical phenomena and phase transitions in two-dimensional systems.

Tangent Spaces in Algebraic Geometry

Explores tangent spaces in algebraic geometry, defining them as finite-dimensional subspaces of derivations on varieties.

Functors: Assigning Morphisms and Dual Spaces

Covers the concept of functors, assigning morphisms and dual spaces in different categories.

Linear Transformations: Dimension Theorems

Covers dimension theorems for linear transformations, bijectivity, isomorphism, dual spaces, and canonical applications.

Distributions & Interpolation Spaces

Covers distributions, interpolation spaces, convergence, and the concept of dual spaces.

Embedding Theorems in Sobolev Spaces

Explores weak convergence, Poincaré inequality, and embedding theorems in Sobolev spaces.

Transfer of Model Structures

Covers the transfer of model structures through adjunctions in the context of model categories.

Bounded Operators: Theory and Applications

Covers bounded operators between normed vector spaces, emphasizing the importance of continuity and exploring applications like the Fourier transform.