Extend README with more context

README.md

-Link to latest build on main branch of gitlab repo:
+# Conway's Approach to Symmetry
+
+## Context
+
+[Hodge Club](https://hodge.maths.ed.ac.uk/tiki/Hodge+Club)
+talk at the University of Edinburgh on the 22nd of April 2022
+
+## PDF Links
+
+Latest build on main branch of gitlab repo:
 [pdf](https://git.ecdf.ed.ac.uk/personal-latex-documents/presentations/symmetries-hodge-club/-/jobs/artifacts/main/raw/presentation.pdf?job=build)
+
+## Abstract
+
+When I first saw the classification of wallpaper groups, as I'm sure it was the
+same with many others, it was a very algebraic approach. For example
+considering the translation subgroup, the point group, and ways they can fit
+together. This past semester I had the opportunity to tutor for Toby Bailey's
+course "Symmetry and Geometry", which is based on material from a book
+co-authored by one of his past lecturers John Conway titled "The Symmetries of
+things". The approach in this text is, instead of considering the groups
+themselves, to consider the space (which has the symmetries) quotiented by the
+group of symmetries giving so called orbifolds. This method generalises well to
+spherical and hyperbolic symmetry and gives clean picturesque ways of
+classifying certain types of tilings. This talk is a 50 minute picturesque
+summary and advert for the topics in this area.