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YouTube

Complex Equiangular Lines and the Stark Conjectures

Fields Institute via YouTube

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

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