Abstract: We will discuss the distribution of geometrically and topologically nearly geodesic random surfaces in a closed hyperbolic 3-manifold M, and describe the resulting PSL(2,R) invariant measures on the Grassmann bundle of M. (Joint work with J. Kahn and I. Smilga.)

Bio-Sketch：Professor Vladimir Markovic is a Senior Research Fellow in All Souls College, University of Oxford. His research interests lie in low dimensional geometry, topology, and dynamics, and functional and geometric analysis. He received the Clay Research Award in 2012 and the Simons Investigator Award in 2016. He is a Fellow of the Royal Society. He is an invited speaker at ICM 2014.