Generalized flag variety

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Introduces the regular representation, a key tool for studying group actions on varieties.

Covers regular and smooth projective varieties, hypersurfaces, and algebraic dimensions.

Explores integration theory over real numbers and Berkovich spaces, revealing intriguing asymmetries and unsolved conjectures.

Explores the embedding of chi-varieties into vector spaces with linear actions.

Introduces projective, quasi-projective, and algebraic varieties, emphasizing the importance of regular functions in defining morphisms.

Covers the Shor Code, stabilizer matrices, encoding techniques, and error correction concepts.

Covers the construction of the connected sum of two tori in 10 minutes.

Delves into Oppenheim's conjecture on quadratic forms and their connection to number theory.

Explores homogeneous ideals, regular rings, N-graded rings, and closed sets in projective geometry.

Covers the basics of probability theory, including probability spaces, random variables, and measures.