Noncommutative Algebra Courses and Certifications

Wolfram

Noncommutative Algebra and Its Applications

Explore Mathematica's new noncommutative algebra functionality, including polynomial transformations, Groebner bases, and computations with Weyl, Clifford, and Grassmann algebras.

• YouTube
• 29 minutes
• Self-Paced
• Free Video

Wolfram

Expanding Exponentials in Noncommutative Algebras

Explore advanced mathematical formulas for decomposing exponentials in noncommutative settings, featuring Wolfram Language implementations and applications to operator theory.

• YouTube
• 25 minutes
• Self-Paced
• Free Video

Joint Mathematics Meetings

An Invitation to Noncommutative Algebra

Explore noncommutative algebra through symmetry, representation theory, and uncertainty principles. Discover finite and infinite dimensional solutions, formal deformations, and category theory applications.

• YouTube
• 53 minutes
• Self-Paced
• Conference Talk

ICTP Mathematics

Hochschild (co)homology and Geometric Regularity - Andrea Solotar

Explore Hochschild (co)homology's role in geometric regularity for associative algebras. Discover its applications in commutative and non-commutative settings, and its significance in algebraic geometry.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

Harvard CMSA

Noncommutative Analysis, Computational Complexity, and Quantum Information

Explore advanced mathematical concepts connecting noncommutative analysis, computational complexity, and quantum information through expert lectures on optimization and algebraic structures.

• YouTube
• 10 hours 42 minutes
• Self-Paced
• Free Video

Wolfram

Exploring Wolfram Language V14.3

Discover the latest Wolfram Language 14.3 features including dark mode, AI integration, enhanced graphics, non-commutative algebra, molecular visualization, and improved UI elements.

• YouTube
• 3 hours 17 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Hochschild Cohomology and Deformation Theory of Hilbert Schemes of Points on Surfaces

Explore Hochschild cohomology of Hilbert schemes, its impact on deformation theory, and connections to symmetric quotient stacks. Gain insights into twisted Hodge numbers and recent research developments.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video

Centre de recherches mathématiques - CRM

Higher Auslander Algebras and Higher Representation Finite Algebras

Explore higher Auslander algebras, their construction methods, and connections to representation theory. Gain insights into recent developments and applications in algebra and representation theory.

• YouTube
• 48 minutes
• Self-Paced
• Free Video

Centre de recherches mathématiques - CRM

Embeddings of Kac-Moody Affine Grassmannian Slices

Explorez les développements récents dans la théorie des représentations géométriques, en se concentrant sur les tranches de Grassmanniennes affines de type Kac-Moody et leur construction via les branches de Coulomb.

• YouTube
• 54 minutes
• Self-Paced
• Free Video

Centre de recherches mathématiques - CRM

Belavin-Drinfeld Quantum Groups - Survey and Future Directions

Explore Belavin-Drinfeld quantum groups, their deformations, and connections to semi-simple algebraic Poisson groups. Survey current knowledge, conjectures, and future research directions in this field.

• YouTube
• 46 minutes
• Self-Paced
• Free Video

Centre de recherches mathématiques - CRM

Similarities Between Representation Theories of Finite Groups in Positive Characteristic and Algebraic Supergroups

Explore similarities between representation theories of finite groups in positive characteristics and algebraic supergroups, including Sylow subgroups and Green correspondence for supergroups.

• YouTube
• 42 minutes
• Self-Paced
• Free Video

Centre de recherches mathématiques - CRM

Monoidal Triangular Geometry with Applications to Representation Theory

Explorez la géométrie triangulaire monoïdale et ses applications à la théorie des représentations, en mettant l'accent sur les algèbres de Hopf de dimension finie et les catégories tensorielles finies.

• YouTube
• 45 minutes
• Self-Paced
• Free Video

Schmid College, Chapman University

Toeplitz Operators on the Bergman Space

Explore Toeplitz operators on Bergman space, covering commutative C*-algebras, non-semisimple Banach algebras, and non-commutative C*-algebras with invariant symbols under biholomorphic actions.

• YouTube
• 50 minutes
• Self-Paced
• Free Video

Schmid College, Chapman University

Quaternionic Non-Selfadjoint Operators and Their Spectral Theory

Explore spectral theory for quaternionic operators, focusing on S-spectrum, Volterra operators, and triangular representations. Gain insights into non-commutative settings and spectral localization.

• YouTube
• 39 minutes
• Self-Paced
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Shifted Substitution in Non-Commutative Multivariate Power Series with Applications to Free Probability Theory

Delve into advanced mathematical concepts of non-commutative power series, exploring group laws, pre-Lie structures, and their applications in Voiculescu's free probability theory.

• YouTube
• 30 minutes
• Self-Paced
• Free Video