Explore the concept of symmetry in mathematics through this 54-minute invited address given by Amanda Folsom at the 2019 Joint Mathematics Meetings. Delve into various examples of symmetry, from abstract to mathematical, and examine the J function, fundamental domains, and modular forms. Learn about the contributions of Ramanujan and Watson, and investigate graphs, Akers, and Swagger. Uncover the intricacies of harmonic mass forms, explicit symmetric functions, and quantum modular forms. Discover the applications of these concepts in modern mathematics.
Overview
Syllabus
Introduction
Examples of symmetry
Abstract symmetry
Mathematical symmetry
J function
Fundamental domain
Modular forms
Ramanujan
Watson
Graphs
Akers
Swagger
Under the hood
Harmonic mass forms
Explicit symmetric function
Quantum modular forms
Applications
Taught by
Joint Mathematics Meetings
