Instituto de Matemática Pura e Aplicada Courses

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.

• YouTube
• 1 hour 34 minutes
• Self-Paced
• Free Video

Hyperbolic Manifolds, Their Submanifolds and Arithmetic Properties - Mini-course 2

Delve into advanced concepts of arithmetic hyperbolic manifolds and totally geodesic submanifolds through expert lectures from Matthew Stover and Mikhail Belolipetsky at IMPA's specialized mathematics conference.

• YouTube
• 1 hour 17 minutes
• Self-Paced
• Free Video

Hyperbolic Manifolds, Their Submanifolds and Exotic Negatively Curved Manifolds - Mini-course 3

Delve into advanced concepts of exotic negatively curved manifolds and hyperbolic geometry through expert insights from Brown University's mathematical research and developments.

• YouTube
• 1 hour 17 minutes
• Self-Paced
• Free Video

Hyperbolic Manifolds and Their Totally Geodesic Submanifolds - Mini-course 2

Delve into advanced concepts of arithmetic hyperbolic manifolds and their totally geodesic submanifolds through expert analysis of recent developments in hyperbolic geometry and group theory.

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

Building Hyperbolic Manifolds with Coxeter Polytopes - Mini-course 3

Delve into advanced hyperbolic geometry concepts through an exploration of building hyperbolic manifolds with Coxeter polytopes, presented by Oxford mathematician Giovanni Italiano.

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

Building Hyperbolic Manifolds with Coxeter Polytopes - Mini-course 3

Delve into advanced concepts of building hyperbolic manifolds using Coxeter polytopes through expert guidance on geometric construction methods and theoretical foundations.

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

Hyperbolic Manifolds, Their Submanifolds and Totally Geodesic Submanifolds - Mini-course 2

Delve into advanced concepts of arithmetic hyperbolic manifolds and their totally geodesic submanifolds through expert insights from Temple University's Matthew Stover.

• YouTube
• 1 hour 24 minutes
• Self-Paced
• Free Video

Hyperbolic Manifolds, Their Submanifolds and Exotic Negatively Curved Manifolds - Mini-course 2

Delve into advanced concepts of exotic negatively curved manifolds and hyperbolic geometry through expert insights on recent developments in geometric topology and group theory.

• YouTube
• 1 hour 22 minutes
• Self-Paced
• Free Video

Hyperbolic Manifolds, Their Submanifolds and Exotic Negatively Curved Manifolds - Part 1

Delve into advanced concepts of hyperbolic geometry and manifolds, exploring exotic negatively curved manifolds and their mathematical properties through expert insights from Brown University.

• YouTube
• 1 hour 24 minutes
• Self-Paced
• Free Video

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

Introdução à Mecânica Estatística - Aula 06

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 55 minutes
• Self-Paced
• Free Video

Markov Chains - Lecture 6

Delve into advanced concepts of Markov Chains in this graduate-level mathematics lecture, covering fundamental theories and applications based on Levin, Peres, and Wilmer's comprehensive work.

• YouTube
• 1 hour 57 minutes
• Self-Paced
• Free Video

Building Hyperbolic Manifolds with Coxeter Polytopes - Lecture 3

Delve into advanced concepts of building hyperbolic manifolds using Coxeter polytopes through expert guidance on geometric construction methods and theoretical foundations.

• YouTube
• 1 hour 15 minutes
• Self-Paced
• Free Video