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Hausdorff Center for Mathematics
Periods in Number Theory, Algebraic Geometry and Physics - Trimester Program

Explore advanced mathematical connections between periods, motives, and physics through expert lectures on number theory, algebraic geometry, and quantum field applications.
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Instituto de Matemática Pura e Aplicada
Teoria Álgebrica dos Números - Minkowski Theory and Lattices - Aula 09

Delve into advanced algebraic number theory concepts, exploring Minkowski theory, lattices, algebraic integers, and class groups in this graduate-level mathematics lecture from IMPA.
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Instituto de Matemática Pura e Aplicada
Teoria Álgebrica dos Números - Norma de Ideais e Teoria de Minkowski - Aula 08

Explore advanced concepts in algebraic number theory, including Minkowski's theory, class number finiteness, and norm of ideals in this graduate-level mathematics lecture.
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Instituto de Matemática Pura e Aplicada
Teoria Álgebrica dos Números - Aula 16

Explore advanced algebraic number theory concepts including algebraic integers, class groups, prime ideals, quadratic fields, and zeta functions in this graduate-level mathematics lecture.
- YouTube
- 1 hour 43 minutes
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Instituto de Matemática Pura e Aplicada
Teoria Álgebrica dos Números - Aula 15

Explore advanced algebraic number theory concepts including algebraic integers, class groups, prime ideals, quadratic fields, and zeta functions in this graduate-level mathematics lecture.
- YouTube
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Instituto de Matemática Pura e Aplicada
Teoria Algébrica dos Números - Aula 17

Explore advanced algebraic number theory concepts including algebraic integers, class groups, prime ideals, quadratic fields, and the fundamental relationships between number field discriminants.
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Instituto de Matemática Pura e Aplicada
Teoria Álgebrica dos Números - Aula 07 - 22/01/2025

Explore advanced concepts in algebraic number theory including ideal class groups, fractional ideals, and class numbers with applications to algebraic integers and prime factorization.
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Instituto de Matemática Pura e Aplicada
Teoria Álgebrica dos Números: Campos Ciclotômicos II - Aula 14

Delve into advanced algebraic number theory concepts, exploring cyclotomic fields, algebraic integers, class groups, and unique factorization, with applications to quadratic reciprocity law and Dirichlet's unit theorem.
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Instituto de Matemática Pura e Aplicada
Teoria Álgebrica dos Números - 16/01/2025 - Aula 05

Explore advanced concepts in algebraic number theory, including Dedekind domains, algebraic integers, ideal factorization, and discriminants in number fields.
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- 1 hour 34 minutes
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Instituto de Matemática Pura e Aplicada
Teoria Álgebrica dos Números - Aula 11

Explore uma revisão abrangente da Teoria Algébrica dos Números, cobrindo inteiros algébricos, anéis, ideais primos, grupos de classes, corpos quadráticos e teoremas fundamentais da área.
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Teoria Álgebrica dos Números - Dirichlet's Unit Theorem - Aula 10

Explore o Teorema das Unidades de Dirichlet e conceitos avançados da teoria algébrica dos números, incluindo inteiros algébricos, discriminantes e grupos de classes em corpos numéricos.
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Instituto de Matemática Pura e Aplicada
Teoria Algébrica dos Números - Aula 19

Explore advanced algebraic number theory concepts including algebraic integers, class groups, prime ideals, quadratic fields, and the fundamental relationships between number field discriminants.
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Instituto de Matemática Pura e Aplicada
Teoria Algébrica dos Números - Aula 18

Explore advanced algebraic number theory concepts including algebraic integers, class groups, prime ideals, quadratic fields, and the fundamental relationship between zeta functions and class numbers.
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Instituto de Matemática Pura e Aplicada
Teoria Álgebrica dos Números: Campos Ciclotômicos - Aula 13

Explore os fundamentos dos campos ciclotômicos e teoria algébrica dos números, incluindo inteiros algébricos, discriminantes, ideais primos e a lei de reciprocidade quadrática.
- YouTube
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Teoria Algébrica dos Números - Ramificação - Aula 12

Explore advanced concepts in algebraic number theory, including algebraic integers, prime ideals, class groups, quadratic fields, and the fundamental equality of number fields.
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