Connected solvable subgroups of an affine algebraic group

Event Date
2025-11-17
Event Time
01:20 pm ~ 02:29 pm
Event Location
Wachman 617

Thomas Goller, Temple University

This is a continuation of the series of meetings on algebraic groups. We'll begin by looking at some examples of projective varieties to set the stage for a discussion of complete varieties, a sketch of the classification of one-dimensional connected affine groups, and a proof of a fixed point theorem for connected solvable groups acting on complete varieties. Finally, we'll discuss a structure theorem for connected solvable groups, both by looking at a key example of upper-triangular matrices and by working through parts of the proof.