Instituto de Matemática Pura e Aplicada Courses

Maximal Monotone Operator and Splitting Method - Lecture 2

Delve into advanced mathematical concepts of maximal monotone operators and splitting methods in this comprehensive mathematical analysis lecture from IMPA's Summer School.

• YouTube
• 1 hour 31 minutes
• Self-Paced
• Free Video

Teoria Álgebrica dos Números - Aula 04

Delve into advanced algebraic number theory concepts, exploring Dedekind domains, prime ideal factorization, and fundamental theorems in this graduate-level mathematics lecture.

• YouTube
• 1 hour 53 minutes
• Self-Paced
• Free Video

Introdução à Mecânica Estatística - Aula 05

Explore advanced statistical mechanics concepts, from Hamiltonian systems and Liouville's theorem to phase transitions, Ising models, and Pirogov-Sinai theory in this graduate-level mathematics lecture.

• YouTube
• 1 hour 50 minutes
• Self-Paced
• Free Video

Markov Chains - Lecture 8

Delve into advanced Markov Chain theory with Professor Milton Jara, exploring fundamental concepts, mixing times, and recent research applications in probability and mathematical modeling.

• YouTube
• 1 hour 50 minutes
• Self-Paced
• Free Video

Maximal Monotone Operator and Splitting Method - Lecture 3

Delve into advanced mathematical concepts of maximal monotone operators and splitting methods in this third lecture of the summer school series at IMPA.

• YouTube
• 1 hour 33 minutes
• Self-Paced
• Free Video

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.

• YouTube
• 1 hour 51 minutes
• Self-Paced
• Free Video

Introdução à Mecânica Estatística - Aula 08 - 22/01/2025

Explore advanced statistical mechanics concepts, from Hamiltonian systems and Liouville's theorem to phase transitions, Ising models, and Pirogov-Sinai theory in this graduate-level mathematics lecture.

• YouTube
• 1 hour 56 minutes
• Self-Paced
• Free Video

Introdução à Mecânica Estatística - Aula 07

Explore advanced statistical mechanics concepts, from Hamiltonian systems and Liouville's theorem to phase transitions, Ising models, and Pirogov-Sinai theory in this graduate-level mathematics lecture.

• YouTube
• 1 hour 29 minutes
• Self-Paced
• Free Video

Markov Chains and Mixing Times - Lecture 7

Delve into advanced Markov Chain theory with Professor Milton Jara, exploring fundamental concepts, mixing times, and recent research applications in probability and mathematical modeling.

• YouTube
• 1 hour 42 minutes
• Self-Paced
• Free Video

Teoria Ergódica Diferenciável - Aula 25 - 21/11/2024

Delve into advanced concepts of Differentiable Ergodic Theory, exploring invariant measures, Poincaré and Birkhoff recurrence theorems, ergodic decomposition, and topological entropy in mathematical dynamics.

• YouTube
• 1 hour 26 minutes
• Self-Paced
• Free Video

Teoria Ergódica Diferenciável - Aula 26

Explore advanced concepts in Differentiable Ergodic Theory, including invariant measures, Poincaré and Birkhoff recurrence theorems, ergodic decomposition, and topological entropy in mathematical dynamics.

• YouTube
• 1 hour 23 minutes
• Self-Paced
• Free Video

Análise em Variedades - Aula 27

Explore conceitos avançados de análise em variedades, incluindo fibrados tangentes, formas diferenciais e o Teorema de Stokes, com aplicações práticas em geometria diferencial e topologia.

• YouTube
• 1 hour 19 minutes
• Self-Paced
• Free Video

Markov Chains and Mixing Times - Lecture 20

Delve into advanced Markov Chain theory with Professor Milton Jara, exploring fundamental concepts, mixing times, and recent research applications in probability and mathematical analysis.

• YouTube
• 1 hour 43 minutes
• Self-Paced
• Free Video

Introdução à Mecânica Estatística - Aula 22 - 25/02/2025

Explore advanced statistical mechanics concepts, from Hamiltonian systems and Liouville's theorem to phase transitions, Ising models, and Pirogov-Sinai theory in this graduate-level mathematics lecture.

• YouTube
• 1 hour 32 minutes
• Self-Paced
• Free Video

Introdução à Mecânica Estatística - Aula 23

Explore advanced statistical mechanics concepts including Hamiltonian systems, Liouville's theorem, Poincaré recurrence, Boltzmann hypothesis, and phase transitions in this graduate-level mathematics lecture.

• YouTube
• 1 hour 21 minutes
• Self-Paced
• Free Video