Instituto de Matemática Pura e Aplicada Courses

Special Holonomy and Geometric Structures on Complex Manifolds

Explore stability of critical points in self dual abelian YMH energy on Kähler manifolds. Delve into special geometric structures, complex geometry, and their connections to physics and symplectic geometry.

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

Special Holonomy and Geometric Structures on Complex Manifolds

Explore advanced topics in differential geometry, including special holonomy, complex manifolds, and their connections to various mathematical fields and theoretical physics.

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

Special Holonomy and Geometric Structures on Complex Manifolds

Explore advanced topics in differential geometry, including special holonomy, complex manifolds, and their connections to various mathematical fields and theoretical physics.

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

Special Holonomy and Geometric Structures on Complex Manifolds

Explore SU(2)-structure flows in complex manifolds, delving into special holonomy and geometric structures. Gain insights into differential geometry's connections with complex geometry, physics, and symplectic geometry.

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

Local Holomorphic Dynamics - Lecture 3

Explore local holomorphic dynamics in foliation theory through an advanced lecture at the Brazil-France School. Gain insights from expert Javier Ribón in this collaborative mathematical event.

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

On Integral Conditions for the Existence of First Integrals for Analytic Deformations of Complex Saddle Singularities

Explore integral conditions for first integrals in analytic deformations of complex saddle singularities. Gain insights from expert Víctor Arturo Martínez León in this advanced mathematics lecture.

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

Deformations of Holomorphic Foliations - Brazil-France School on Foliation Theory

Explore deformations of holomorphic foliations in this advanced mathematics lecture from the Brazil-France School on Foliation Theory, featuring expert insights and collaborative research.

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

PROLÍMPICO - Puzzles e Desafios: Aprendendo e se Divertindo com Matemática - Aula 02

Explore puzzles e desafios matemáticos divertidos para aprimorar o ensino e aprendizagem da disciplina, com foco em técnicas olímpicas e aplicações práticas em sala de aula.

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

Local Holomorphic Dynamics - Lecture 2

Explore local holomorphic dynamics in foliation theory through an advanced lecture at the Brazil-France School, delving into complex mathematical concepts and their applications.

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

Local Holomorphic Dynamics - Lecture 1

Explore local holomorphic dynamics in this advanced mathematics lecture, part of the Brazil-France School on Foliation Theory. Delve into complex analysis and dynamical systems.

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

Razão e Proporção: Comparar para Quê? - PROLÍMPICO 2024 - Aula 01

Aprofunde-se em razão e proporção, explorando suas aplicações práticas e relevância na matemática olímpica. Aprimore suas habilidades de ensino e prepare alunos para competições.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

PROLÍMPICO 2024 - Jogos e Invariantes - Aula 01

Aprimore suas habilidades em matemática olímpica com foco em jogos e invariantes. Explore estratégias avançadas e técnicas de resolução de problemas para competições matemáticas.

• YouTube
• 1 hour 14 minutes
• Self-Paced
• Free Video

Foliations in Positive Characteristic - Seminar GADEPs

Explore codimension one foliations in positive characteristic, their applications to holomorphic foliations, and implications for detecting irreducible components and algebraicity problems in complex projective plane.

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

Hidden Symmetries in Fluid Dynamics - Lecture 8

Explore hidden symmetries in fluid dynamics, focusing on theoretical foundations and applications to hydrodynamic turbulence. Gain insights into Kolmogorov self-similarity and intermittency through rigorous models and numerical challenges.

• YouTube
• 3 hours 26 minutes
• Self-Paced
• Free Video

Katz-Grothendieck Conjecture: Criteria for Algebraic Solutions in Linear Differential Equations

Explore a conjectura de Katz-Grothendieck sobre equações diferenciais lineares com soluções algébricas, incluindo contexto histórico e evidências principais. Adequado para estudantes de pós-graduação em matemática.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video