Exact Lagrangians in Cotangent Bundles with Locally Conformally Symplectic Structure
Explore advanced concepts in locally conformally symplectic geometry, examining Lagrangian topology, Hamiltonian dynamics, and connections to contact geometry through theoretical frameworks and practical examples.
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.
Cartan-Karlhede Algorithm and Cartan Invariants for Spacetimes - Part 3
Explore the Cartan-Karlhede algorithm for classifying spacetime solutions in General Relativity, including mathematical foundations and applications in geometry and gravity theories.
Lie Groups and Quantization - Lecture 1
Delve into fundamental concepts of Lie groups and their applications in quantization through advanced mathematical exploration and theoretical frameworks in graduate-level mathematics.
Riemann, Topology and Physics - Lecture 1
Explore interdisciplinary connections between Riemann geometry, topology, and physics in this doctoral-level lecture by Renzo Ricca at Beijing Institute of Technology.
The Unitary Cobordism Hypothesis
Dive into advanced mathematical concepts exploring the unitary cobordism hypothesis, its geometric implications, and connections to physics in this theoretical seminar presentation.
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.
Análise em Variedades - Aula 21
Explore conceitos avançados de análise em variedades, incluindo fibrados tangentes, formas diferenciais e o Teorema de Stokes, com aplicações práticas em geometria diferencial.
Distributional and Intertwining Invariants of Manifolds
Delve into advanced algebraic topology concepts, exploring distributional LS-category, sequential topological complexity, and intertwining invariants in manifolds, with applications to motion planning.
Cartan-Karlhede Algorithm and Cartan Invariants for Spacetimes
Explore the Cartan-Karlhede algorithm for classifying spacetime solutions in General Relativity, including its mathematical foundations and applications in geometry and gravity theories.
Cartan-Karlhede Algorithm and Cartan Invariants for Spacetimes - Part 2
Explore the Cartan-Karlhede algorithm for classifying spacetime solutions in General Relativity, including mathematical foundations and applications in geometry and gravity theories.
Pathwise Conditioning and Non-Euclidean Gaussian Processes
Explore advanced Gaussian process techniques for efficient Bayesian optimization, including pathwise conditioning and models on graphs and manifolds, enhancing decision-making in complex settings.