Instituto de Matemática Pura e Aplicada Courses

Kloosterman Sums Over Families of Lattices

Delve into advanced mathematical concepts focusing on Kloosterman sums and their relationships with lattice families through expert analysis and theoretical exploration.

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

Remarks on a Formula of Ramanujan

Delve into an advanced mathematical exploration of Ramanujan's formula through expert analysis and insights from Andrés Chirre of PUCP, examining its implications and applications in number theory.

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

Towards a Formulation of the Birch and Swinnerton-Dyer Conjecture for Abelian Schemes Over Varieties Over Finite Fields

Delve into advanced number theory concepts exploring the Birch and Swinnerton-Dyer conjecture's formulation for abelian schemes over finite field varieties, presented by mathematician Amilcar Pacheco.

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

L-functions of Elliptic Curves Over Real Quadratic Fields as Special Values of Automorphic Green's Functions

Delve into advanced number theory concepts exploring L-functions of elliptic curves over real quadratic fields and their relationship to automorphic Green's functions through expert mathematical analysis.

• YouTube
• 1 hour 11 minutes
• Self-Paced
• Free Video

Teoria Ergódica Diferenciável - Aula 22

Explore advanced concepts in Differentiable Ergodic Theory, including invariant measures, Poincaré and Birkhoff recurrence theorems, ergodic decomposition, and topological entropy in mathematical dynamics.

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

Modified Character Sums Over the k-Free Integers

Delve into advanced number theory concepts with a focused exploration of modified character sums and their relationship to k-free integers in this mathematical research presentation.

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

Análise em Variedades - Aula 22

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 24 minutes
• Self-Paced
• Free Video

Técnicas Espectrais para Detecção de Comunidades

Explore técnicas espectrais para detecção de comunidades em redes complexas, abordando decomposição de autovalores, otimização de modularidade e agrupamento espectral para análise eficiente de padrões.

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

Otimização Matemática de Carros Híbridos

Explore os fundamentos matemáticos da otimização de veículos híbridos, abordando técnicas avançadas para melhorar eficiência energética e desempenho operacional.

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

Teoria Ergódica Diferenciável - Aula 21

Explore advanced concepts in Differentiable Ergodic Theory, including invariant measures, Poincaré and Birkhoff recurrence theorems, ergodic decomposition, and topological entropy in mathematical dynamics.

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

Commutative Algebra and Algebraic Geometry - 15th ALGA

Explore advanced topics in Commutative Algebra and Algebraic Geometry with expert Ugo Bruzzo at the 15th ALGA conference. Gain insights into cutting-edge research and developments in these mathematical fields.

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

Commutative Algebra and Algebraic Geometry - 15th ALGA - Lecture by Ethan Cotterill

Explore advanced topics in Commutative Algebra and Algebraic Geometry with expert Ethan Cotterill at the 15th ALGA conference, featuring cutting-edge research and discussions in mathematics.

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

Commutative Algebra and Algebraic Geometry - 15th ALGA - Lecture by Paolo Cascini

Explore advanced topics in Commutative Algebra and Algebraic Geometry with Paolo Cascini's lecture at the 15th ALGA conference, covering cutting-edge research and developments in these mathematical fields.

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

Commutative Algebra and Algebraic Geometry - 15th ALGA

Explore advanced topics in Commutative Algebra and Algebraic Geometry with expert Pedro Montero at the 15th ALGA conference, featuring cutting-edge research and interdisciplinary connections.

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

Commutative Algebra and Algebraic Geometry - 15th ALGA

Explore advanced topics in Commutative Algebra and Algebraic Geometry with expert Zaqueu Ramos at the 15th ALGA conference, featuring cutting-edge research and discussions in mathematics.

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