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Related lectures (20)
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Group Theory: Direct Sum of Abelian Groups
Explores the arithmetic of direct sum of abelian groups and the process of turning a monoid into a commutative group.
Vector Bundles & Locally Free Sheaves
Covers vector bundles, locally free sheaves, depth, Serre twisting sheaf, and graded modules in algebraic geometry.
Projective Space and Algebraic Sets
Introduces projective space and algebraic sets, discussing homogeneous coordinates, ideals, and generators.
Algebraic Curves: Normalization
Covers the normalization process of plane algebraic curves, focusing on irreducible polynomials and affine curves.
Algebraic Varieties: Projective Sets and Topology
Explores projective algebraic sets, prime ideals, irreducible sets, cones, and Nullstellensatz theorem.
Unitary Minimal Models: Representation Theory Insights
Covers the representation theory of unitary minimal models and the Virasoro algebra.
Monster Group: Representation
Explores the Monster group, a sporadic simple group with a unique representation theory.
Projective Algebraic Sets: Definitions and Properties
Covers the definitions and properties of projective algebraic sets and their applications in algebraic geometry.
Runge Kutta Method
Covers the Runge Kutta method and its application to optimal control and neural networks.
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