Vector Bundles Courses and Certifications

Applied Algebraic Topology Network

Vector Bundles for Data Alignment and Dimensionality Reduction

Explore vector bundles in data science, focusing on synchronization problems and topology-preserving dimensionality reduction. Applications in computational chemistry and dynamical systems are presented.

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

ICTP Mathematics

Vector Bundles and Tight Closure

Explore vector bundles and tight closure in algebraic geometry, delving into their properties, applications, and connections to other mathematical concepts.

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

ICTP Mathematics

Vector Bundles and Tight Closure

Explore vector bundles and tight closure in algebraic geometry, delving into advanced mathematical concepts and their applications.

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

ICTP Mathematics

Vector Bundles and Tight Closure

Explore vector bundles and tight closure in algebraic geometry, delving into advanced mathematical concepts and their applications.

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

ICTP Mathematics

Vector Bundles and Tight Closure

Explore vector bundles and tight closure in commutative algebra and algebraic geometry, focusing on prime characteristics and their applications in modern mathematics.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Arthur-César le Bras - p-adic Geometry - Vector Bundles on the FarguesFontaine Curve

Explore vector bundles on the Fargues-Fontaine curve in p-adic geometry, delving into advanced mathematical concepts and their applications.

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

Hausdorff Center for Mathematics

Sylvie Paycha: Re-Expansion Maps as Direct Connections

Explore re-expansion maps in groupoids, their connection to regularity structures, and interpretation as "gaugeoid fields" in gauge groupoids. Generalization to jet bundles in polynomial regularity structures.

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

IMSA

Secondary Characteristics Classes for Normal Surfaces Singularities - Part 2

Delve into advanced mathematical concepts of Cheeger-Chern-Simons classes, exploring their applications in normal surface singularities and connections to algebraic K-theory through expert analysis.

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

Institute for Advanced Study

Isomonodromic Deformations of Flat Bundles and Codimension of Hodge Loci

Explore isomonodromic deformations of flat bundles and discover lower bounds on codimension of non-abelian Hodge loci within isomonodromy foliation leaves on algebraic curves.

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

IMSA

Logarithmic Transformations and Vector Bundles on Elliptic Surfaces via O-Minimal Geometry II

Explore logarithmic transformations and vector bundles on elliptic surfaces through o-minimal geometry, examining their impact and applications in various mathematical fields.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

IMSA

Logarithmic Transformations and Vector Bundles on Elliptic Surfaces via O-Minimal Geometry I

Explore logarithmic transformations and vector bundles on elliptic surfaces through o-minimal geometry, examining their impact and applications in various mathematical fields.

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

Fields Institute

Classification of Cuntz-Pimsner Algebras Associated to Vector Bundles - Part II

Explore advanced concepts in operator algebras, focusing on the classification of Cuntz-Pimsner algebras associated with vector bundles in this in-depth mathematical seminar.

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

Fields Institute

Classification of Cuntz-Pimsner Algebras Associated to Vector Bundles, Part I

Explore the classification of Cuntz-Pimsner algebras associated with vector bundles in this advanced mathematics seminar by Maria Grazia Viola from Lakehead University.

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

International Mathematical Union

Aravind Asok, Jean Fasel - Vector Bundles on Algebraic Varieties

Explore vector bundles on algebraic varieties with experts Aravind Asok and Jean Fasel, delving into advanced mathematical concepts and their applications in algebraic geometry.

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

IMSA

Derived Categories and Motives of Moduli Spaces of Vector Bundles on Curves

Explore derived categories and motives of moduli spaces of vector bundles on curves, their relationships, and recent developments in algebraic geometry.

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