This event will be held both online and in-person. To view Dr. Sapir’s talk virtually, enter the Online chatroom via. Microsoft Teams— it will open at 2:00pm on Friday, November 129h, 2021. To attend this event in-person, come to EMS, E495 before 2:00pm on Friday, November 19th, 2021.

A projection from geodesic currents to Teichmuller space

Dr. Eugenia Sapir
Assistant Professor of Mathematics
Binghamton University

“Given a genus $g$ surface $S$, we consider the space of projective geodesic currents $\mathbb{P}\mathcal{C}(S)$. This space contains many objects of interest in low dimensional topology, such as the set of all closed curves on S up to homotopy, the set of all marked, negatively curved metrics on $S$, as well as some higher Teichmuller spaces. We show that there is a mapping class group invariant, length minimizing projection from the space of filling projective currents onto Teichmuller space, and that this projection is continuous and proper. This is joint work with Sebastian Hensel.”

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