Algebra Courses and Certifications

Western Hemisphere Virtual Symplectic Seminar

Cluster Algebras Associated to Bott-Samelson Braids

Explore cluster algebras associated with Bott-Samelson braids, focusing on Legendrian links and their connection to algebraic varieties and Lagrangian fillings. Discover weaves and their computational applications.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

Western Hemisphere Virtual Symplectic Seminar

Cluster Algebras for General Braid Varieties

Explore cluster algebras on braid varieties using weaves, Lusztig cycles, and symplectic topology. Gain insights into localization processes and A=U proof through Lie-theoretic and combinatorial perspectives.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

BunG Seminar

Introduction to Vertex Algebras - From Heisenberg to Virasoro Algebras

Delve into vertex algebras, exploring Heisenberg, Kac-Moody, and Virasoro structures while understanding their connections to affine W-algebras and Zhu algebra fundamentals.

• YouTube
• 1 hour 44 minutes
• Self-Paced
• Free Video

BunG Seminar

Localizing Motives, Algebraic KK-Theory and Refined Negative Cyclic Homology

Delve into advanced algebraic geometry concepts exploring localizing motives, their rigidity properties, and applications in refined negative cyclic homology and topological cyclic homology.

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

BunG Seminar

Commutation of K-theory with Inverse Limits in Adic Spaces

Delve into advanced K-theory concepts, exploring nuclear modules, inverse limits, and Mittag-Leffler sequences in the context of adic spaces and condensed mathematics.

• YouTube
• 2 hours 1 minute
• Self-Paced
• Free Video

Kyoto-U OCW - Unofficial

K-Theory of Group C*-Algebras and Applications

Delve into K-theory of group C*-algebras, exploring its applications in topology, representation theory, and elliptic operators. Suitable for graduate students with Hilbert space theory background.

• YouTube
• 1 hour 10 minutes
• Self-Paced
• Free Video

Instituto de Matemática Pura e Aplicada

Finite Irreducible Modules over the Conformal Superalgebras K4 and CK6

Explore finite irreducible modules over conformal superalgebras K4 and CK6. Gain insights into advanced algebraic concepts and their applications in mathematical research.

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

BIMSA

Coset Vertex Algebras and W-algebras Related to Lie Superalgebras

Delve into advanced vertex algebra theory, exploring coset constructions, W-algebras, and their relationships to Lie superalgebras through multiple construction approaches and isomorphism phenomena.

• YouTube
• 1 hour 14 minutes
• Self-Paced
• Free Video

BIMSA

Double Affine Hecke Algebras Beyond Genus Zero

Delve into advanced mathematical concepts of Double Affine Hecke Algebras and their applications beyond genus zero, presented by mathematics expert Dr. Arthamonov.

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

Centre International de Rencontres Mathématiques

Cluster Algebras and the Amplituhedron - Definition - Lecture 1

Explore cluster algebras and the amplituhedron definition with Lauren K. Williams in this advanced mathematics conference talk from CIRM's Audiovisual Mathematics Library.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

Centre International de Rencontres Mathématiques

Cluster Algebras with Coefficients and Relative Calabi-Yau Structures

Explore cluster algebras with coefficients and relative Calabi-Yau structures in this advanced mathematics lecture by Bernhard Keller at CIRM's thematic meeting.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

Mr. Robinson's Virtual Math Classroom

Solving Equations by Graphing - Lesson 5.5

Master graphing techniques to solve single-variable and absolute value equations by converting them into systems and finding intersection points, with comprehensive practice through 41 solved problems.

• YouTube
• 1 hour 57 minutes
• Self-Paced
• Free Video

Mr. Robinson's Virtual Math Classroom

Performing Function Operations in Mathematics - Lecture and Problem Set

Master the fundamentals of function operations including addition, subtraction, multiplication, and division, with special focus on handling radicals and domain restrictions in mathematical expressions.

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

Mr. Robinson's Virtual Math Classroom

Function Notation and Problem Solving in Mathematics - Lecture 3.3

Master function notation fundamentals through clear explanations and practical examples, from basic f(x) concepts to real-world applications like cost analysis, with guided problem-solving practice.

• YouTube
• 1 hour 19 minutes
• Self-Paced
• Free Video

Mr. Robinson's Virtual Math Classroom

Solving Absolute Value Inequalities

Master solving absolute value inequalities through comprehensive instruction and practice problems, covering compound inequalities, graphing, special cases, and real-world applications using absolute deviation.

• YouTube
• 1 hour 21 minutes
• Self-Paced
• Free Video