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K(n)-local homotopy from a Galois theory perspective -1

Presented by: 
Agnes Beaudry University of Colorado
Date: 
Monday 24th September 2018 - 10:00 to 11:00
Venue: 
INI Seminar Room 1
Abstract: 
The goal of these two talks is to give an overview of a perspective on K(n)-local homotopy theory that lends itself to computations. I will introduce some of the key players of the workshop such as the Morava K and E-theories. The introduction will emphasize the Galois theory inherent to the situation and be designed to lead us to consider finite resolutions of the K(n)-local sphere. I will then explain how these perspectives have helped us gain a better understanding on problems in chromatic homotopy theory such as the study of invertible elements and chromatic reassembly.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons