Poincaré duality

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Related lectures (31)

Explores linear programming duality, covering constraints, variables, solutions, and the relationship between primal and dual LP.

Poincaré Group and Lorentz Subgroup

Explores the Poincaré group and Lorentz subgroup in theoretical physics.

Primal-dual Optimization: Fundamentals

Explores primal-dual optimization, minimax problems, and gradient descent-ascent methods for optimization algorithms.

Lie Algebra Representation

Delves into Lie algebra representation and Lorentz subgroup concepts.

Distribution & Interpolation Spaces

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

Quantum Field Theory: Lorentz and Poincaré Groups Representations

Explores Lorentz and Poincaré groups representations, Poincaré algebra, and Lagrangians in Quantum Field Theory.

Duality Theorems

Explores duality theorems in linear programming, emphasizing optimal solutions and degeneracies.

Elementary Properties of Model Categories

Covers the elementary properties of model categories, emphasizing the duality between fibrations and cofibrations.

Lie Theorems and Group Algebra

Covers Lie theorems, group algebra, Ado's theorem, and spacetime symmetries.

Hamilton-Jacobi Equation: Phase Portrait Analysis

Explores the Hamilton-Jacobi equation and phase portrait analysis in one-dimensional systems, emphasizing the relationship between variables and system evolution.

Linear Optimization: Auxiliary Problem

Explores the formulation of the auxiliary problem in linear optimization and its role in optimal decision-making.

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