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)

Page last modified: Saturday, 14-Jan-2012 10:09:30 MST