Seminar:
Group Actions, Geometry and Dynamics
Event time:
Monday, September 9, 2024 - 4:15pm
Location:
TBA
Speaker:
Ron Mor
Speaker affiliation:
Yale
Event description:
We give a method to bound the entropy of measures on SL(d,R)/SL(d,Z) which are invariant under one parameter diagonal subgroups, in terms of entropy contributions from regions of the cusp corresponding to different parabolic groups. These bounds depend on an auxiliary linear functional on the Lie algebra of the Cartan group, which can then be optimized depending on the bound one is trying to obtain. We discuss how this method is utilized to obtain new sharp bounds for cusp entropies.