Group rings and hyperbolic geometry

Add to your list(s) Download to your calendar using vCal

• Grigori Avramidi (MPIM)
• Wednesday 08 May 2024, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Oscar Randal-Williams.

Given a closed hyperbolic manifold M, are there lower bounds on the number of k-cells c_k(M) in a cell decomposition in terms of the geometry of the manifold? Gromov showed that if the manifold has injectivity radius at least 10^6 times (n log n), then there are at least n 1-cells, and conjectured that injectivity radius const times log n should be enough. In this talk I will describe a result providing a lower bound on the number of k-cells for each 0 < k < dim (M). The main input is a freedom theorem for ideals in group rings of hyperbolic groups, which also has other applications. Joint work with Thomas Delzant.

This talk is part of the Differential Geometry and Topology Seminar series.

This talk is included in these lists:

• All CMS events
• All Talks (aka the CURE list)
• CMS Events
• DPMMS Lists
• DPMMS Pure Maths Seminar
• DPMMS info aggregator
• DPMMS lists
• Differential Geometry and Topology Seminar
• Hanchen DaDaDash
• Interested Talks
• MR13
• School of Physical Sciences
• bld31

Note that ex-directory lists are not shown.