Plumbing construction and slices of Quasifuchsian space

Orateur: Sara Maloni
Localisation: Université Paris 11, France
Type: Séminaire COOL
Site: Hors LAMA , IHP
Salle: 5
Date de début: 31/05/2013 - 10:30
Date de fin: 31/05/2013 - 10:30

Given a surface S, Kra's plumbing construction endows S with a projective structure for which the associated holonomy representation depends on some complex `plumbing parameters'. This construction gives elements of the Maskit slice, a well-known slice of the boundary of the Quasifuchsian space QF(S). In this talk, after reviewing basic results on Kleinian groups, Dehn--Thurston coordinates, complex projective structures and Maskit slice, we will describe the plumbing construction and a more general plumbing construction, called the c-plumbing construction, which builds elements in a particular slice of the Quasifuchsian space. Time permitting, we will describe some properties of these slices and we will show some pictures.