Instituto de Matemática Pura e Aplicada Courses

Systolic and Diastolic Geometry - Eigenvalues and Minimal Surfaces

Delve into the relationship between eigenvalues and minimal surfaces in systolic and diastolic geometry with Mikhail Karpukhin's mathematical exploration of geometric comparison problems.

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

Systolic and Diastolic Geometry - Area Rigidity of Minimal Surfaces

Delve into André Neves' lecture on area rigidity of minimal surfaces, part of the "Systolic and Diastolic Geometry" event exploring geometric problems related to volume, length, and area comparisons in mathematical spaces.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

Systolic Inequalities in Reeb Dynamics

Delve into systolic inequalities in Reeb dynamics with Alberto Abbondandolo, exploring geometric problems that compare volume of spaces with lengths of curves they contain.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

Systolic and Diastolic Geometry - Rigidity and Flexibility of Periodic Hamiltonian Flows

Delve into rigidity and flexibility of periodic Hamiltonian flows with Gabriele Benedetti, exploring key concepts in systolic geometry and their applications to mathematical problems involving volume, length, and area comparisons.

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

Systolic and Diastolic Geometry - Min-max Widths Compared to Other Geometric Invariants

Explore Rafael Montezuma's lecture on min-max widths compared to other geometric invariants, part of the "Systolic and Diastolic Geometry" event at IMPA examining relationships between volume and length/area in geometric spaces.

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

Systolic and Diastolic Geometry - Capacities of Disc Tangent Bundles of Symmetric R-Spaces

Explore Johanna Bimmermann's lecture on capacities of disc tangent bundles of symmetric R-spaces, part of the Systolic and Diastolic Geometry event at IMPA examining geometric comparison problems.

• YouTube
• 59 minutes
• Self-Paced
• Free Video

Systolic Inequalities for S1-Invariant Contact Forms

Dive into systolic inequalities for S1-invariant contact forms with Simon Vialaret from Paris-Saclay, exploring geometric comparisons between volume and length/area in mathematical spaces.

• YouTube
• 28 minutes
• Self-Paced
• Free Video

Systolic and Diastolic Geometry - How Packing Simplices Helps to Study Symplectic Systoles

Dive into how packing simplices contributes to the study of symplectic systoles in this mathematical exploration by Alexey Balitskiy from Luxembourg, presented at IMPA's Systolic and Diastolic Geometry event.

• YouTube
• 59 minutes
• Self-Paced
• Free Video

Doutorado: Geometria Algébrica II - Aula 01 (11/03/2025)

Explore advanced algebraic geometry concepts including sheaves, schemes, morphisms, Cartier and Weil divisors, line bundles, differentials, cohomology, and Riemann-Roch theorems in this doctoral-level mathematics lecture.

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

Quando a Matemática vem em Palavras

Explore como transformar conceitos matemáticos complexos em linguagem acessível para o ensino médio através de estratégias pedagógicas inovadoras do PAPMEM.

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

Diversões Topológicas nas Aulas de Matemática

Explore diversões topológicas para enriquecer suas aulas de matemática no ensino médio com métodos inovadores e práticos do IMPA.

• YouTube
• 1 hour 8 minutes
• Self-Paced
• Free Video

O Triângulo de Pascal e Suas Propriedades

Explore as fascinantes propriedades do triângulo de Pascal através de uma abordagem didática voltada para professores de matemática do ensino médio.

• YouTube
• 1 hour 16 minutes
• Self-Paced
• Free Video

Por que Funções? De Volta ao Futuro - PAPMEM Julho 2025

Explore a importância das funções matemáticas no ensino médio com Professor Carlos Nehab, parte do programa PAPMEM do IMPA para aperfeiçoamento de professores de matemática.

• YouTube
• 1 hour 13 minutes
• Self-Paced
• Free Video

Teorema de Chasles e Números Complexos

Explore o Teorema de Chasles e sua conexão com números complexos através de uma apresentação matemática avançada ministrada por especialista do IMPA.

• YouTube
• 45 minutes
• Self-Paced
• Free Video

Métodos Computacionais de Otimização - Aula 06

Explore métodos computacionais de otimização com foco em técnicas unidimensionais, descida, busca linear, gradiente, Newton e direções conjugadas para problemas irrestritos e com restrições.

• YouTube
• 37 minutes
• Self-Paced
• Free Video