Hilbert Reciprocity  - Dustin Clausen
Channel: IAS | Park City Mathematics Institute | PCMI
Date: 22/07/2021

PCMI 2021 Undergraduate Summer School

Topic:
Speaker: Dustin Clausen 
Affiliation: University of Copenhagen
Date: July 21, 2021

In this course, we will begin by developing the general theory of quadratic forms, which is related to a variety of topics across arithmetic and algebraic geometry. After some foundational results, we will specialize to the case of the rational numbers. We will aim to cover aspects of three significant results:

The Hasse-Minkowski theorem

The quadratic reciprocity law, and its formulation via Milnor K-theory

The Siegel mass formula

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