Detalles de Evento

Speaker: Jorge Hidalgo (Universidad de Granada)

Abstract: Riemann surfaces were first introduced in 1851, in the doctoral thesis of Bernhard Riemann, as a tool to study complex variable functions. Nowadays, Riemann surfaces constitute a whole theory in its own right, and a very fruitful one since it lies in the intersection of many important areas of mathematics. In particular, they connect geometry with complex analysis. The main goal of this talk is to give an overview about Riemann surface theory, which naturally splits into the two following steps:

  • To motivate and define the concept of Riemann surface, as well as other basic notions.
  • To understand the statements (and in some cases the idea) of several fundamental results. If time allows it, I will also give an idea of the relation between Riemann surfaces and my research, the first being a natural object to work with.