Massey products and class field towers

Eric Ahlqvist (University of Edinburgh)

Wednesday 24th May, 2023 16:00-17:00 Maths 311B

Abstract

It is in general very hard to determine if a given number field K has finite or infinite class field tower or if the étale fundamental group of the spectrum of the ring of integers of K is finite or infinite. In this talk I will present some joint work with Magnus Carlson where we give formulas for Massey products in étale cohomology in order to tackle these questions.

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