Event time:

Tuesday, December 6, 2022 - 3:00pm

Location:

LOM 202

Speaker:

Jenya Sapir

Speaker affiliation:

Binghamton University

Event description:

The space of projective, filling currents PFC(S) contains many structures relating to a closed, genus g surface S. For example, it contains the set of all closed curves on S, as well as an embedded copy of Teichmuller space, and many other spaces of metrics on S. We show that the symmetrized Thurston metric on Teichmuller space naturally extends to a complete, proper metric on PFC(S). We will then discuss the geometry of PFC(S) under this metric.