The previous talk in this series is here. The next talk in this series is here.
Algebraic groups are fundamental objects in representation theory and number theory. The course will discuss the structure theory of linear algebraic groups over algebraically closed fields. Topics include tori, parabolic subgroups and Borel subgroups, Lie algebras, root data, Weyl group, and classi fication of simple algebraic groups. If time permits, we will briefly discuss relation between compact Lie groups and algebraic groups.
This video was produced by the Australian Mathematical Sciences Institute as part of the AMSI Winter School 2022.