[Binghamton Geometry Topology Seminar] (no subject)
Matthew R Haulmark
haulmark at binghamton.edu
Mon May 3 10:54:21 EDT 2021
Hi everyone,
This week our speaker will be Wouter Van Limbeek from the University of
Illinois-Chicago. Here are the details.
*Title: *Do thin groups have discrete commensurators?
*Abstract: *Let G be a simple Lie group and \Gamma < G a lattice. In 1974,
Margulis proved that if the commensurator of \Gamma is dense, then \Gamma
is arithmetic. In 2015, Shalom asked if the same is true only assuming
\Gamma is Zariski-dense in G. I will report on recent progress on this
question for normal subgroups of lattices in rank 1 (e.g. hyperbolic space)
using ideas from infinite ergodic theory, Brownian motion, random walks and
harmonic maps. I will attempt to give a picture of how all these ideas
combine to give information on commensurators. This is joint work with D.
Fisher and M. Mj.
Zoom link for the seminar, 2:50 - 3:50:
https://binghamton.zoom.us/j/94057178271
Zoom link for the coffee, 12:30 - 1:30:
https://binghamton.zoom.us/j/96674397432
Best,
Matt
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