Event time:

Thursday, March 1, 2007 - 11:30am to Wednesday, February 28, 2007 - 7:00pm

Location:

431 DL

Speaker:

Saul Schleimer

Speaker affiliation:

Rutgers

Event description:

The space of ending laminations EL(S) on a surface, S, is

obtained from Thurston’s projectivized space of measured laminations by

removing all non-filling laminations and forgetting the measures. This

arises in several ways; for example, it is a theorem of Klarreich that

EL(S) is the Gromov boundary of the curve complex. We prove that EL(S) is

connected if the genus of S is at least two and S has at least one

puncture. Taking branched covers then yields the result for closed

surfaces with genus at least four. This is joint work with Chris

Leininger.