Gamma structures on surfaces

Abstract

. Presented here is a version of my talk at the Tsinghua Sanya International Mathe- matics Conference on Singularities in memory of John Mather. This article is partly expository. I will briefly recount the rise of the modern theory of foliations, describe John Mather’s contributions and then allow the discussion to lead to a report of work, old and new, on Real Analytic Gamma Structures.