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Related lectures (10)
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Algebraic Cycles and Etale Cohomology
Explores algebraic cycles, etale cohomology, and counterexamples to the Hodge conjecture.
Matrix Similarity and Diagonalization
Explores matrix similarity, eigenvalues, and diagonalization in linear algebra.
Symmetric Matrices and Eigenvalues
Explores symmetric matrices, eigenvalues, and characteristic polynomials in matrix analysis.
Variety Defined as the Closure of VCA
Explores the concept of variety defined as the closure of VCA and its applications in algebraic geometry.
Characteristic Polynomial and Similar Matrices
Covers characteristic polynomials, similar matrices, eigenvalues, and algebraic multiplicities.
Étale Motives and the Hodge Conjecture
Explores étale motivic cohomology and the Hodge conjecture with a focus on counter-examples.
Abstract algebra and type classes
Covers abstract algebra concepts using type classes in Scala, including defining monoids, generalizing reduce functions, and typeclass laws.
Diagonalization: Examples
Explores examples of diagonalization in linear algebra, focusing on eigenvalues and eigenvectors.
Tangent Spaces in Algebraic Geometry
Explores derivations and the Zariski tangent space in algebraic geometry, emphasizing their importance and practical applications.
Cohomology Representations: Lecture 14.1
Covers the concept of cohomology representations and the implications of reduced suspension operations on spaces.
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