Artin Reciprocity via Spheres

Explore a conference talk on Artin reciprocity and its connection to spheres, delivered by Dustin Clausen from Copenhagen University at the Conference on Homotopy Theory with Applications to Arithmetic and Geometry. Delve into topics such as functional analysis, logical construction, Art map, global fields, and spectra. Gain insights into the Thomason theorem, K theory, F modules, and the concept of canonical class. Discover how these advanced mathematical concepts intertwine in this 46-minute presentation from the Fields Institute, offering a deep dive into the intersection of homotopy theory, arithmetic, and geometry.

Intro
Functionality
Logical construction
Art map
Global fields
Explanation
Spectra
Thomason theorem
K theory
F modules
canonical class