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2017-11-18  02:20 hrs.

From the fundamental group to the fundamental group scheme (a friendly introduction)

Marco Antei
Department of Mathematics Ben Gurion University of the Negev en Beerseba, Israel.


We are going to describe the construction of the fundamental group scheme of a given scheme X over a field k, pointed at a k-rational point x. As a first example we will compute the fundamental group scheme of an elliptic curve. We will recall its relations with the étale fundamental group of X and, when comparable, with the usual fundamental group of a topological space. The definitions of group scheme and torsor will be recalled.



Salón de Seminarios 2 -- Miércoles 12 de junio de 2013, 12:00 horas


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