By Jawad Snoussi (Universidad Autónoma de México)

After defining algebraic and analytic spaces, and their singularities, we will see how one can study the local topological behaviour. We will focus on low dimensions, mainly curves and surfaces. Using algebraic, analytic and topological tools, we will study the link of the singularities and relate it to the resolution process.
All along the lectures, we will give a series of example to illustrate the introduced concepts and main results.