YoVDO

Symmetry, Almost

Offered By: Joint Mathematics Meetings via YouTube

Tags

Joint Mathematics Meetings Courses Modular Forms Courses

Course Description

Overview

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.

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

Related Courses

A Non-Formal Formula for the Rankin Cohen Deformation Quantization
Conference GSI via YouTube
An Interview with Neal Koblitz - Elliptic Curve Cryptography and Beyond
Bill Buchanan OBE via YouTube
Rings of Siegel-Jacobi Forms of Bounded Relative Index Are Not Finitely Generated
Centre International de Rencontres Mathématiques via YouTube
Atsushi Ichino- Theta Lifting and Langlands Functoriality
International Mathematical Union via YouTube
Iterated Integrals of Modular Forms in String Theory
Hausdorff Center for Mathematics via YouTube