EVENT DETAILS AND ABSTRACT

Title: Galois Categories and the Etale Fundamental Group
Speaker: Adam Holeman
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Abstract:

In the 1960's, Grothendieck formulated a categorical generalization of Galois theory, which allowed the development of a fundamental group for schemes. Beginning with a discussion of covering spaces in topology, we will proceed to introduce the notion of a Galois category, and use it to define the étale fundamental group of a scheme. The talk will conclude with an introduction to the 'section conjecture', which posits a strong relationship between the arithmetic of a curve and its étale fundamental group.