Mon, 12 Oct 2026
15:30
15:30
L5
Group rings, cellular complexity, and hyperbolic geometry
Grigori Avramidi
Abstract
I'll discuss lower bounds on cell structures of hyperbolic manifolds in terms of injectivity radius, and also parametrized versions of such results. The main algebraic input into such lower bounds is a freedom theorem for ideals in group rings of hyperbolic groups.
If time permits, I may also discuss some questions about extensions of such results to higher rank. Joint work with Thomas Delzant.