Cantor Set Courses and Certifications

Hausdorff Center for Mathematics

Alexander Volberg: The Probability of Buffon Needle to Land Near Cantor Set

Explore the probability of Buffon's needle landing near Cantor sets, delving into unexpected connections with various mathematical fields and theories.

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

International Mathematical Union

Self-Similar Sets and Measures on the Line

Explore fractal geometry through self-similar sets and measures, focusing on recent developments in determining their dimensions. Gain insights into classical fractals and cutting-edge research.

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

Centre de recherches mathématiques - CRM

Non-Almost Finite Actions on the Cantor Set - Amenable Wreath Products

Explore non-almost finite actions on the Cantor set by amenable wreath products, challenging Kerr's topological analogue of the Ornstein-Weiss theorem in measurable dynamics.

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

Michael Penn

How to Take a Walk and Miss Every Rational Number

Explore the mathematical concept of creating a path that avoids all rational numbers, using clever techniques from real analysis and number theory.

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

Banach Center

Indecomposable Continua in Exponential Dynamics

Explore indecomposable continua in exponential dynamics, delving into advanced mathematical concepts and their applications.

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

Centre de recherches mathématiques - CRM

The Dry Ten Martini Problem for Sturmian Schrodinger Operators

Explore the Dry Ten Martini Problem for Sturmian Schrodinger operators, examining spectral gaps and integrated density of states. Delve into recent solutions and advancements in this mathematical challenge.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

Centre de recherches mathématiques - CRM

Cube Complexes and Finiteness Properties of Block Mapping Class Groups

Explore cube complexes and their application to block mapping class groups, examining finiteness properties and connections to Thompson's groups in surface topology.

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

Centre de recherches mathématiques - CRM

On Context-Free Orderings on Free Products

Explore context-free orderings on free products, including constructions of Cantor sets with dense subsets of context-free orders and extensions to free products with regularly ordered factors.

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

BIMSA

Intersections of Dynamical Cantor Sets

Explore the mathematical intersections of dynamical Cantor sets through advanced theoretical analysis and computational methods in this specialized mathematics lecture.

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

IMSA

N-dimensional Beaded Necklaces and Higher Dimensional Wild Knots Invariant by a Schottky Group

Explore the construction of n-dimensional wild knots using beaded necklaces and Schottky groups, examining their properties in higher dimensional spheres and branched coverings.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Local and Nonlocal Zaremba Problems with Degenerate Weights

Explore the Zaremba problem with degenerate weights, examining both local and nonlocal formulations, existence results, and applications to fractal-like boundary conditions in PDEs.

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

International Centre for Theoretical Sciences

On the Moduli Spaces of Generalized Cantor Sets

Delve into the moduli spaces of generalized Cantor sets in this advanced mathematical lecture by Hiroshige Shiga, part of the "New trends in Teichmüller theory" program.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

数学文化

在文化中品读数学， 在生活中探寻数学， 在学习中鉴赏数学， 在趣味中感悟数学！

• XuetangX
• On-Demand
• Free Online Course

CIMPA UCR

Conjuntos de Cantor de Números Enteros

Explore las propiedades y características fundamentales de los conjuntos de Cantor en el contexto de los números enteros, profundizando en sus aplicaciones matemáticas.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

IMSA

Low-Dimensional Solenoidal Manifolds

Exploración de manifolds solenoidales de baja dimensión, sus propiedades topológicas y estructurales, y nuevos resultados en este campo de la geometría y topología.

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