Some uniformly bounded representations of hyperbolic groups

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

• Jan Spakula (University of Southampton)
• Tuesday 07 October 2025, 15:30-16:30
• Seminar Room 1, Newton Institute.

If you have a question about this talk, please contact nobody.

OGGW03 - Spectral gaps

We prove that some of the boundary representations of (Gromov) hyperbolic groups are uniformly bounded. One can construct complementary series representations of SL(2,R) from its action on the circle; this work is an attempt to generalise parts of this theory to hyperbolic groups. More concretely: Suppose G is a hyperbolic group, acting geometrically on a (strongly) hyperbolic space X. For this talk, “boundary representations” are linear representations πz of G coming from the action of G on the Gromov boundary Z of X. These are parametrised by a complex parameter z with 0

This talk is part of the Isaac Newton Institute Seminar Series series.

This talk is included in these lists:

• All CMS events
• Featured lists
• INI info aggregator
• Isaac Newton Institute Seminar Series
• School of Physical Sciences
• Seminar Room 1, Newton Institute
• bld31

Note that ex-directory lists are not shown.