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algebraic groups

Classifying one dimensional groups (II)

In this post we classify one-dimensional connected group varieties of dimension 1.

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Posted in Algebraic Geometry, Algebraic Groups, Number Theory and tagged algebraic groups, classifying, classifying elliptic curves, classifying one dimensional group schemes, group schemes, one dimensional algebraic groups on November 19, 2019 by alexyoucis. 4 Comments

Reductive groups: a rapid introduction

The goal of this post is to introduce, in a very informal way, the notion of a reductive group, and discuss some examples.

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Posted in Algebraic Geometry, Algebraic Groups, Shimura varieties, Uncategorized and tagged Algebraic Geometry, algebraic groups, Intuition, linear algebraic groups, overview, Reductive groups, semisimple groups on February 27, 2016 by alexyoucis. 12 Comments

p-divisible groups, formal groups, and the Serre-Tate theorem

In this post we discuss the basic theory of p-divisible groups, their relationship to formal groups, and the Serre-Tate theorem.

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Posted in Algebraic Geometry, Algebraic Groups, Galois Representations, Number Theory and tagged abelian varieties, Algebraic Geometry, algebraic groups, arithmetic geometry, crystalline cohomology, finite flat group schemes, formal groups, Formal schemes, Formal schemes intuition, number theory, p-adic Hodge theory, p-divisible groups, Serre-Tate theorem on August 10, 2015 by alexyoucis. 3 Comments

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