Dimension Theory Courses and Certifications

An Introduction to Point-Set-Topology Part-II

Explore advanced point-set topology concepts, including compactness, paracompactness, metrization theorems, and function spaces. Develop a deeper understanding of topological properties and their applications in mathematics and physics.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

ICTP Mathematics

Algebraic Geometry - Lecture 10

Explore advanced concepts in algebraic geometry, focusing on complex mathematical structures and their applications in modern mathematics and theoretical physics.

• YouTube
• 1 hour 29 minutes
• On-Demand
• Free Video

ICTP Mathematics

Algebraic Geometry - Lecture 8

Explore advanced concepts in algebraic geometry, focusing on complex mathematical structures and their applications in modern mathematics and theoretical physics.

• YouTube
• 1 hour 29 minutes
• On-Demand
• Free Video

ICTP Mathematics

Algebraic Geometry - Lecture 7

Explore advanced concepts in algebraic geometry, focusing on complex mathematical structures and their applications in modern mathematics and theoretical physics.

• YouTube
• 1 hour 33 minutes
• On-Demand
• Free Video

IMSA

Blow Up Formulae and Invariants II - Dimension Theory

Explore numerical invariants in meromorphic connections, their relation to singularity theory, and applications to non-rationality criteria for Fano varieties.

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

Applied Algebraic Topology Network

Urysohn Width

Explore the 100-year history and applications of Urysohn width, a metric invariant quantifying space approximation by simplicial complexes. Discover its role in dimension theory and modern geometric challenges.

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

IMSA

A Non-Archimedean Definable Chow Theorem

Explore non-archimedean algebraization theorems and their applications in Diophantine geometry, focusing on a p-adic analogue of the definable Chow theorem.

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

Wrath of Math

Isomorphic Vector Spaces and Isomorphisms - Linear Algebra

Explore isomorphic vector spaces and their properties, including examples and proofs. Learn how all n-dimensional spaces relate to R^n and understand key concepts in linear algebra.

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

Instituto de Matemática Pura e Aplicada

Dimension of Furstenberg Measures on Flag Spaces - DinAmicI in Rio

Conferência internacional sobre Sistemas Dinâmicos reunindo pesquisadores da rede DinAmicI e do Brasil. Palestra de François Ledrappier sobre dimensão de medidas de Furstenberg em espaços de bandeiras.

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

IIT Bombay;  NPTEL

Commutative Algebra

Commutative algebra is essentially the study of the rings occurring in algebraic number theory and algebraic geometry. In algebraic number theory, the rings of algebraic integers in number fields constitute an important class of commutative rings — the D…

• Swayam
• 12 weeks
• Finished
• Free Online Course