Programa

Tendremos charlas en las que se presentarán algunos de los prerrequisitos para seguir el minicurso que imparte Jonny Evans. Luego continuaremos con el minicurso en sí y ponencias sobre temas relacionados.

Todas las charlas serán en la sala de usos múltiples 1. Primer piso del edificio Felipe Villanueva.

Lecturas recomendadas: 

++ Plane algebraic curves. (Brieskorn y Knörrer). Contains many examples, techniques and pictures. It covers the material on links of algebraic curves, and even contains Newton's original letter where he explains his "method of rotating rulers".

++ Eight faces of the Poincaré homology sphere. (Kirby y Scharlemann). A worked example of the sort we were doing, where they give 8 different descriptions of the link of x^2+y^3+z^5=0 and prove they are all equivalent.

++ Lectures on resolution of singularities. (Kóllar). The first chapter has Puiseaux expansions.

++ Topology from the differentiable viewpoint (Milnor). Gives a complete proof of the nontriviality of the Hopf fibration. A gorgeous book.

++ Classical tessellations and three-manifolds (Montesinos). Just as you can describe the torus as a square with its sides identified, you can sometimes describe links of surface singularities as identification spaces of polyhedra. This book focuses on that point of view. 

++ Seifert manifolds (Orlik). This book gives the full story on Seifert fibrations as a generalisation of the Hopf fibration.

++ Knots and links (Rolfsen). This book has examples of branched covers of knots (amongst other things) like we saw for the lens space L(3,2).

++ Algebraic Curves  (Walker). This very readable book has some very nice material on singularities of algebraic curves, including Puiseaux series.