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Related lectures (31)
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Fourier Expansion and Quaternion Algebra
Discusses Fourier expansion, quaternion algebra, and Whittaker model in automorphic forms.
Bar Construction: Homology Groups and Classifying Space
Covers the bar construction method, homology groups, classifying space, and the Hopf formula.
Quadratic Spaces and Quaternion Algebra
Explores quadratic spaces, norms, and quaternion algebra over fields.
Conductor of X: Waldsparger Formula and Subconvexity Bound
Covers the equidistribution of representations of integers by ternary forms and the conductor of X.
The Role of Symmetries
Delves into symmetries in physics, covering group theory, perturbation, and quantification.
Proof of Lagrange Theorem
Covers the proof of Lagrange Theorem and explores quaternions, prime numbers, and equations.
Universal Property of Groups
Explores the universal property of groups, defining homomorphisms and exploring subgroup properties.
Fermat's Theorem: Sums of Squares
Explores Fermat's Theorem, factorization of integers, properties of Z[i], and Hurwitz quaternions.
Topology: Free Groups and Their Properties
Discusses the theory of free groups, their properties, and relationships with other algebraic structures.
Abelianization of Fundamental Group
Explores abelianization examples, homomorphisms, and isomorphisms in group theory.