MAT 1110: Linear Algebraic Groups, Winter 2017

Instructor: Florian Herzig; my last name at math dot toronto dot edu
Office Hours: by appointment, at BA 6186

Lectures: Tuesdays 3-5pm, Fridays 4-5pm at HU 1018

Syllabus

This course will be an introduction to the theory of linear algebraic groups over an algebraically closed field. Algebraic groups are algebraic varieties equipped with a group structure such that the group operations are given by maps of algebraic varieties. An algebraic group is called linear if it can be embedded as a closed subgroup of a general linear group. This includes, for example, special linear, symplectic, and orthogonal groups. The subject has many parallels with the classical theory of (compact) Lie groups and Lie algebras.

Outline:

Prerequisites:

References:

Homework