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Instituto de Matemáticas de la UNAM summaries
Every long episode from Instituto de Matemáticas de la UNAM, read in minutes: the key takeaways, the chapters, and a digest of the whole conversation.
¿Cómo mezclar un mazo de cartas? Caminatas aleatorias y álgebras de Iwahori-Hecke.
Explore random walks on groups using Iwahori-Hecke algebras to model card shuffling, revealing insights into mixing times and spectral gaps.
Computational Complexity and Explanations in Physics
Explore how computational complexity impacts physics, from quantum computing's philosophical implications to its role in black hole paradoxes and thermodynamics.
Ximena Catepillán en Diálogos entre Matemáticas y cultura
Explore the mathematical structures within indigenous kinship systems, revealing group theory and abstract algebra embedded in cultural practices.
Edmund Harriss en Diálogos entre Matemáticas y Cultura
Explore the profound connection between art and mathematics, revealing how mathematical thinking can enrich artistic creation and vice-versa, leading to new forms of expression and understanding.
La inevitabilidad de los agujeros negros y la topología de su horizonte.
Explore the inevitability of black holes and their event horizon topology through advanced spacetime geometry and causality theory.
El problema del encaje de árboles en gráficas
Exploring tree embedding in graphs and digraphs, focusing on density conditions and degree properties to guarantee subgraph containment.
Modelos subrogados en problemas inversos de EDPs
Leveraging surrogate models drastically accelerates solving complex inverse problems in PDEs, offering significant computational speedups and robust uncertainty quantification.
Estructuras DC en espacios de Alexandrov
Explore Alexandrov spaces, a generalization of Riemannian geometry, focusing on intrinsic curvature and non-smooth manifolds.
as bombonas o “convexidad proyectiva compleja”
Discover "bombonas", a new class of complex geometric objects with unique line intersection properties, generalizing complex ellipsoids and offering insights into projective geometry.
Y aquella que las controlase, buena controladora será
Explora la historia, matemáticas y aplicaciones del control en ingeniería y ciencias, resaltando que la teoría matemática avanzada es esencial para controlar sistemas complejos y peligrosos.
Construcción Dinámica de Portafolios Óptimos mediante Muestreo Estocástico Convexo
Fernando Suárez explains advanced portfolio construction using stochastic sampling, addressing limitations of classical models and proposing a dynamic, risk-decreasing glidepath approach.
La ley del semicírculo de Wigner
Explora la ley del semicírculo de Wigner, que describe el comportamiento de los valores propios de matrices aleatorias, revelando conexiones con combinatoria y probabilidades.
13 Encuentro Pavao Mardesic
Pavo Mardesic discusses zero cycles and their displacement functions, providing insights into mathematical principles in deformation theory.
12 Encuentro Jessica Jaurez
Jessica Jaurez explores the tangency of foliations in the context of differential equations and their analytic classification.
11 Encuentro Laura Ortiz
This talk elaborates on the geometric interpretation of analytic invariance in singular vector fields, leveraging classification frameworks and emphasizing the importance of roots in description.
10 Encuentro Oziel Gómez
In this talk, analytic invariance and critical foliation in differential equations are explored, focusing on their implications for analyzing singularities.
9 Encuentro Xavier Gómez-Mont
This lecture discusses polynomial vector fields and their dynamics on C2 and the three-dimensional sphere, emphasizing attractors and repellers.
8 Encuentro Adolfo Guillot
Foliated projective structures on complex curves are explored, emphasizing their uniformizability and the impact of singularities in their existence.
7 Encuentro Lilia Alanís
Explora la monodromía de curvas, resolución de singularidades y cómo triángulos topológicos y boquillas revelan la topología de la fibra de Milnor y la representación monodromica.
5 Encuentro Jesús Muciño
This talk explores polynomial differential equations and their perturbations, focusing on Ablian integrals and their zeros to understand dynamical systems.