What's behind the background?

It's a picture I generated as part of a project with Alessandra Iozzi investigating algebraic compactifications of SL(2,R). The small regions are fundamental domains for the action of the symmetric group S5 on (a subset of) R2, and the colored numbers tell which permutations move which sides where. The quotient space is the moduli space of algebraic compactifications of SL(2,R) which lie in the five-dimensional torus T5.

Here is a clearer image:

A couple of the papers on my [p]reprints page are related to this project -- the ones with "boundary compactifications" in the title.



Jonathan Poritz (jonathan.poritz@gmail.com)