Title of Seminar: Random Geometry Seminar 2025
Title of Talk: On geometry of hyperbolic trees of spaces and Cannon-Thurston maps
Speaker: Pranab Sardar, IISER Mohali
Date: April 04, 2022
Time: 16:00:00 Hours
Venue: AG-77

Abstract: We shall begin with an outline of a new proof of the Bestvina-Feighn combination theorem for trees of hyperbolic metric spaces. The proof naturally gives rise to a sort of description of uniform quasi geodesics in this space. In the second half of the talk we will use some of these ideas to show that the Cannon-Thurston map exists from any subtree of space to the whole tree of space. Time permitting we shall discuss some natural applications of this result and related results.