YoVDO

Complex Equiangular Lines and the Stark Conjectures

Offered By: Fields Institute via YouTube

Tags

Number Theory Courses

Course Description

Overview

Explore complex equiangular lines and their connection to the Stark conjectures in this 65-minute conference talk by Jeffrey Lagarias from the University of Michigan. Delve into topics such as design theory, the Heisenberg group, algebraic numbers, and exceptional solutions. Examine the work of Marcus Appleby, Stark and Cobb, and investigate complex multiplication, rank 1 cases, and indefinite data functions. Gain insights into Stark units and class field theory as part of the conference honoring Robert V. Moody's 80th birthday at the Fields Institute.

Syllabus

Intro
Overview
Design Theory
Heisenberg Group
Overlaps
Algebraic Numbers
Marcus Appleby
Exceptional Solutions
Stark and Cobb
Motivation
Complex Multiplication
Rank 1 Case
Indefinite Data Functions
Stark Units
Class Field Theory


Taught by

Fields Institute

Related Courses

Introduction to Mathematical Thinking
Stanford University via Coursera
Effective Thinking Through Mathematics
The University of Texas at Austin via edX
Cryptography
University of Maryland, College Park via Coursera
Математика для всех
Moscow Institute of Physics and Technology via Coursera
Number Theory and Cryptography
University of California, San Diego via Coursera