researchseminars.org

David Vogan (MIT)
2022-01-06 15:30 - 17:00 UTC | https://researchseminars.org/talk/atlas/1/
Title: What groups? What representations? What software? (https://researchseminars.org/talk/atlas/1/)
by David Vogan (MIT) as part of Real reductive groups/atlas

Abstract
The atlas software is about a connected reductive algebraic group $G$ over the field ${\mathbb R}$ of real numbers, with group of real points $G({\mathbb R})$. It is possible to tell the software to consider ANY such $G({\mathbb R})$, of rank up to 32, subject to memory size limitations in the computer. (The distinction between $G$ and $G({\mathbb R})$ is of fundamental theoretical importance, but inside the software we will often ignore it.) In practice, the software recognizes many more or less standard names for important examples of real $G({\mathbb R})$, and one can just learn to use those.
