Nicholas Lai, University of Waterloo
“Linear Algebraic Groups, Part I”
A linear algebraic group is an affine algebraic variety which is also a group. The theory of linear algebraic geometry is undoubtedly an algebro-geometric result, but like most algebro- geometric constructions its influences extend to various area of mathematics. In this two part talk, we will explore the theory of linear algebraic groups over any algebraically closed field, following closely to the first ten chapters of Springer’s ”Linear Algebraic Groups”. In the first part, I will present the basic results of linear algebraic groups, leading up to the Lie algebra of linear algebraic groups, which will correspond roughly to the first five chapters of the book.