Solenoidal surfaces of finite type
Matilde Martínez (Universidad de la Republica, Uruguai)

Hyperbolic surfaces of finite type are classical and well-studied objects. They are compact surfaces minus a finite number of points, with a hyperbolic metric for which the topological ends are cusps.

Solenoidal surfaces, which we will define, are foliated spaces very similar to surfaces. We will consider non-compact “finite-type” solenoidal surfaces with a hyperbolic structure. What is the analogue of a cusp? What does it look like? How many are there? We will address these questions, see some answers and some examples. This is a joint work with Fernando Alcalde, Álvaro Carballido and Alberto
Verjovsky.