Instituto de Matemática Pura e Aplicada Courses

Polinômios - PROLÍMPICO 10° Edição 2025 - Nível 3

Master advanced polynomial concepts and Olympic-level mathematics techniques for high school students through expert instruction from renowned mathematicians.

• YouTube
• 2 hours
• On-Demand
• Free Video

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.

• YouTube
• 1 hour 41 minutes
• On-Demand
• Free Video

Deformations of Orthogonal Polynomials, Stochastic Growth Models, and Integrable Systems

Explore deformations of orthogonal polynomials and their connections to stochastic growth models and integrable systems in this advanced mathematical analysis presentation.

• YouTube
• 55 minutes
• On-Demand
• Free Video

Lemma of Cassels and Montgomery and Irregularities of Distribution on Two Point Homogeneous Spaces

Explore the Lemma of Cassels and Montgomery and irregularities of distribution on two point homogeneous spaces in this advanced mathematical analysis presentation.

• YouTube
• 34 minutes
• On-Demand
• Free Video

The Hot Spots Conjecture is False - How False is It?

Explore the Hot Spots conjecture and discover how false it really is through advanced mathematical analysis in this specialized Fourier analysis presentation.

• YouTube
• 22 minutes
• On-Demand
• Free Video

Hardy Inequalities on Hardy Spaces Revisited

Explore Hardy inequalities on Hardy spaces through advanced mathematical analysis and their revisited applications in Fourier theory.

• YouTube
• 20 minutes
• On-Demand
• Free Video

Global Hypoellipticity of G-Invariant Operators on Homogeneous Vector Bundles

Explore global hypoellipticity of G-invariant operators on homogeneous vector bundles in this advanced mathematical analysis presentation from IMPA's Fourier Analysis workshop.

• YouTube
• 21 minutes
• On-Demand
• Free Video

Some Open Problems in Fourier Analysis - Lecture 3

Explore open problems in Fourier analysis through advanced mathematical techniques and theoretical frameworks presented by a leading expert.

• YouTube
• 46 minutes
• On-Demand
• Free Video

Energy Minimization Problems in Analysis and Discrete Geometry - Lecture 3

Explore energy minimization problems connecting Fourier analysis with discrete geometry through advanced mathematical techniques and applications.

• YouTube
• 43 minutes
• On-Demand
• Free Video

Some Open Problems in Fourier Analysis - 01

Explore open problems in Fourier analysis through advanced mathematical techniques and theoretical frameworks presented by a leading expert.

• YouTube
• 53 minutes
• On-Demand
• Free Video

Dimension-Free Fourier Restriction Inequalities

Explore dimension-free Fourier restriction inequalities in this advanced mathematical analysis lecture by Diogo Oliveira e Silva from IST Lisbon at IMPA's workshop.

• YouTube
• 50 minutes
• On-Demand
• Free Video

Unique Continuation Properties - From Discrete to Continuous

Explore unique continuation properties bridging discrete and continuous settings through advanced Fourier analysis techniques and mathematical theory.

• YouTube
• 54 minutes
• On-Demand
• Free Video

Energy Minimization Problems in Analysis and Discrete Geometry - 02

Explore energy minimization problems connecting Fourier analysis with discrete geometry through advanced mathematical techniques and applications.

• YouTube
• 50 minutes
• On-Demand
• Free Video

Eigenfunctions of the Laplace-Beltrami Operator and Random Points

Explore eigenfunctions of the Laplace-Beltrami operator and their connection to random points in this advanced mathematical analysis presentation from IMPA's Fourier workshop.

• YouTube
• 46 minutes
• On-Demand
• Free Video

Fourier Analysis & Beyond I - Tainara Borges

Watch this 22-minute conference talk exploring the nonempty interior of pinned distance and tree sets, presented as part of the Fourier Analysis & Beyond workshop at Instituto de Matemática Pura e Aplicada. Discover advanced mathematical concepts at the…

• YouTube
• 22 minutes
• On-Demand
• Free Video