An Invitation to Noncommutative Algebra

Explore noncommutative algebra through this engaging 53-minute lecture delivered by Chelsea Walton from Rice University at the 2021 Joint Mathematics Meetings. Delve into key concepts such as reflection, rotations, representation theory, and the uncertainty principle. Examine the First Vial Algebra, representations and modules, and both finite and infinite dimensional solutions. Investigate the First Vowel Algebra, noncommutative algebras, and formal deformation. Gain insights into symmetry, category theory, and their applications in this field. Benefit from a comprehensive introduction to noncommutative algebra, suitable for mathematicians and students seeking to expand their understanding of this fascinating area of study.

Introduction
Reflection and Rotations
Themes
Representation Theory
Uncertainty Principle
First Vial Algebra
Representations and Modules
Finite Dimensional Solutions
Infinite Dimensional Solutions
The First Vowel Algebra
Noncommutative Algebras
Examples
Formal Deformation
References
Symmetry
Symmetries
Category Theory
Conclusion