Geometry and Topology Seminar: Limits of asymptotically Fuchsian surfaces in a closed hyperbolic 3-manifold

Speaker: Fernando Al Assal (University of Wisconsin-Madison)
Time & Date: 8 pm, 03/11, Tuesday
Location: Join Zoom Meeting
https://zoom.us/j/94460833287?pwd=hFllaHh3zlRXbGe2WYAROwvmYEM150.1
Meeting ID: 944 6083 3287
Passcode: 199950

Abstract: Let M be a closed hyperbolic 3-manifold and let Gr(M) be its 2-plane Grassmann bundle. We will discuss the following result: the weak-* limits of the probability area measures on Gr(M) of pleated or minimal closed connected essential K-quasifuchsian surfaces as K goes to 1 are all convex combinations of the probability area measures of the immersed closed totally geodesic surfaces of M and the probability volume (Haar) measure of Gr(M).

Host: Xiaolong Hans Han
About the speaker: Fernando obtains his PhD from Yale University and is currently a postdoc at University of Wisconsin Madison. He studies the statistical properties of quasifuchsian surfaces in a hyperbolic 3-manifold and how that relates to the structure of the manifold where they live.