Orateur
Jane Wang
Description
Dilation surfaces, which can be thought of as polygons whose sides are identified by translation and dilation, are a natural generalization of translation surfaces. While translation surfaces are well-studied, much less is known about dynamics on dilation surfaces and their moduli spaces. In this talk, we will survey recent progress in understanding the topology of moduli spaces of dilation surfaces, in particular the homotopy groups of these spaces. We will do this by understanding the action of the mapping class group on the moduli spaces of dilation surfaces. This talk is based on joint work with Paul Apisa and Matt Bainbridge.
