Abstract:

The aim of the lectures will be to describe a unifying picture of dynamics (pseudo-Anosov flows), bounded cohomology (uniform quasimorphisms), Peano curves (CaTherine wheels) and some intermediate structures (laminations; zippers) in hyperbolic 3-manifolds together with applications, including some implications for the Cannon Conjecture (and a corresponding though less well-developed story for holomorphic dynamics, SLE curves, etc).

Bio:

Danny Calegari was born in Melbourne, Australia. He obtained a PhD in 2000 at UC Berkeley under the joint supervision of Andrew Casson and Bill Thurston. He was a postdoc at Harvard, and has held tenured positions at Caltech, the University of Cambridge, and (most recently) the University of Chicago, where he has been since 2012. He won a Clay Research Award in 2009 for his contributions to the solutions of the Marden Tameness Conjecture and the Ahlfors Measure Conjecture, and in 2022 he gave an invited lecture at the ICM. His research interests include geometry, dynamical systems, low-dimensional topology, and geometric group theory.

Registration: https://www.wjx.top/vm/exT8Sbu.aspx#