Instituto de Matemática Pura e Aplicada Courses

Teoria Álgebrica dos Números - Aula 06

Delve into advanced algebraic number theory concepts, exploring field extensions, discriminants, and ring of integers computation through rigorous mathematical analysis and proofs.

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

Markov Chains - Lecture 5

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 51 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

Análise em Variedades - Aula 26

Explore conceitos avançados de análise em variedades, incluindo formas diferenciais, teorema de Stokes, cohomologia de De Rham e aplicações em geometria diferencial.

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

Factorizations, Elasticities and Zero-Sum Sequences

Delve into advanced number theory concepts focusing on factorizations, elasticities, and zero-sum sequences through a mathematical exploration of their properties and relationships.

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

Counting and Hausdorff Measures for Integers and p-adic Integers

Delve into advanced mathematical concepts exploring counting methods and Hausdorff measures, focusing on their applications to integers and p-adic integers in number theory.

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

Partition Regularity of Squares

Delve into advanced number theory concepts and partition regularity of squares through a mathematical exploration led by Oleksiy Klurman from the University of Bristol.

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

Analytical Properties of Automorphic L-Series via its Integral Kernel

Delve into advanced mathematical concepts exploring analytical properties of automorphic L-series through integral kernel analysis, presented by Fernando Andrés Herrera Contreras at IMPA's Number Theory Workshop.

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

On Lehmer's Problem and Hyperbolic Geometry

Delve into the fascinating connection between Lehmer's problem and hyperbolic geometry through an advanced mathematical exploration of number theory concepts and geometric principles.

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

Fractal Geometry of the Markov and Lagrange Spectra and Their Set Difference

Delve into the fractal geometry of Markov and Lagrange spectra, exploring their set differences and mathematical properties through advanced number theory and geometric analysis.

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

On Diophantine Equations Related to Fibonacci Numbers

Explore the mathematical relationships between Diophantine equations and Fibonacci numbers in this advanced number theory presentation from the Brazilian Workshop in Analytic Number Theory.

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

Reversible Primes

Delve into the mathematical concept of reversible primes through an advanced number theory presentation exploring their properties, patterns, and significance in contemporary mathematical research.

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

Arithmetical Exponential Sums - An Urchin Story

Delve into advanced mathematical concepts of arithmetical exponential sums through an engaging exploration of their properties, patterns, and applications in number theory.

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

Convolution of Periodic Multiplicative Functions and the Divisor Problem

Delve into advanced number theory concepts focusing on periodic multiplicative functions, their convolutions, and applications to the classical divisor problem in mathematics.

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

Low Lying Zeros in Families Related to Complex Multiplication Elliptic Curves

Delve into advanced number theory concepts focusing on low-lying zeros and their relationship to CM elliptic curves, exploring mathematical patterns and theoretical frameworks in this specialized mathematical domain.

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