As in many mathematics departments, graduate students in McGill’s Department of Mathematics and Statistics have to take a comprehensive examination comprising of two parts: a written part (Part A) and an oral part (Part B). The Part B exam is based on two topics related to the student’s field of research. One of my Part B topics is algebraic groups.

The algebraic groups section will consist of some classical material found in usual sources, for which I am mainly using Humphreys’ book, and Brian Conrad’s notes on reductive group schemes, which can be found on his website.
More »