Tensor Products Courses and Certifications

Fields Institute

Strong Convergence of Tensor Products of Independent G.U.E. Matrices

Explore strong convergence in tensor products of independent G.U.E. matrices with Mireille Capitaine, delving into advanced mathematical concepts and their applications.

• YouTube
• 55 minutes
• On-Demand
• Free Online Course

Quantum Physics II

1 review

Topics covered in this course include the general formalism of quantum mechanics, harmonic oscillator, quantum mechanics in three-dimensions, angular momentum, spin, and addition of angular momentum.

• MIT OpenCourseWare
• 36 hours
• On-Demand
• Free Online Course

Wall Finiteness Obstruction for DG Categories I

Explore Wall finiteness obstruction theorem for DG categories, its applications to phantom DG categories, and implications for algebraic geometry, including results on Barlow surface and stratified varieties.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Online Course

IMSC;  NPTEL

Algebra - I

Comprehensive postgraduate-level algebra course covering groups, rings, modules, and their applications. Ideal for M.Sc and first-year PhD mathematics students seeking a strong foundation in abstract algebra.

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

IISc Bangalore;  NPTEL

Representation Theory of General Linear Lie Algebra

Explore finite dimensional representations of general linear Lie algebra, covering root space decomposition, highest weight theory, and Weyl Character formula. Gain insights into mathematical applications.

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

Ryan O'Donnell

Multi-Qubit Systems - Lecture 5 of Quantum Computation at CMU

Explore multi-qubit systems, tensor products, and joint states in quantum computation. Learn about Bell states and fundamental properties of quantum systems with multiple qubits.

• YouTube
• 1 hour 23 minutes
• On-Demand
• Free Online Course

Applied Algebraic Topology Network

Homological Algebra for Persistence Modules

Introduction to persistence modules in algebraic topology, exploring tensor products, Hom operations, and their role in homological algebra. Insights into preserving exact sequences and advanced concepts.

• YouTube
• 55 minutes
• On-Demand
• Free Online Course

Institute for Pure & Applied Mathematics (IPAM)

David Gross: Stabilizer Formalism & Quantum Error Correction Through the Lens of Tensors

Explore advanced quantum error correction techniques, focusing on the stabilizer formalism and its applications in quantum fault tolerance, using tensor-based approaches and group theory.

• YouTube
• 56 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

The Grothendieck Inequality by Gadadhar Misra

Explore the Grothendieck inequality, its consequences, and related concepts in mathematics. Learn about max cut problems, cut norms, and proofs, including Kirvine's approach to this fundamental inequality.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Online Course

Hausdorff Center for Mathematics

The Projective/Injective Ratio and GPTs

Explore tensor products in normed spaces, examining projective and injective norms' differences. Discover applications in physics, probabilistic theories, and XOR games, using geometry and random matrix techniques.

• YouTube
• 39 minutes
• On-Demand
• Free Online Course

MinutePhysics

The No Cloning Theorem in Quantum Mechanics - Full Proof Explained

Explore the No Cloning Theorem in quantum mechanics through an accessible proof, replacing qubits with Schrödinger's cat to demonstrate why perfect quantum cloning is impossible.

• YouTube
• 10 minutes
• On-Demand
• Free Online Course

Fields Institute

New Tensor Products of C*-Algebras and Characterization of Type I C*-Algebras as Rigidly Symmetric C*-Algebras

Explore new tensor products of C*-algebras and the characterization of type I C*-algebras as rigidly symmetric C*-algebras in this advanced mathematics talk by Matthew Wiersma.

• YouTube
• 43 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

Unique Factorization for Tensor Products of Parabolic Verma Modules by V. Sathish Kumar

Explore unique factorization in tensor products of parabolic Verma modules, advancing understanding in algebraic representation theory and infinite-dimensional Lie algebras.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Online Course

Joint Mathematics Meetings

From Knots to Symplectic Geometry and Algebra

Explore connections between knot theory, symplectic geometry, and algebra through innovative mathematical concepts and techniques in this advanced mathematical lecture.

• YouTube
• 56 minutes
• On-Demand
• Conference Talk

Numberphile

A Breakthrough in Graph Theory - Numberphile

Explore a breakthrough in graph theory, disproving Hedetniemi's conjecture through counterexamples. Delve into graph coloring, tensor products, and the implications of this mathematical discovery.

• YouTube
• 25 minutes
• On-Demand
• Free Online Course