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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 211B: Group Actions Seminar
Camilo Arosemena Serrato
Rice University (camilo.arosemena@rice.edu)
Rigidity of Codimension One Higher Rank Actions
Abstract:
We discuss work in progress regarding the following assertion: Let $G$ be a simple higher rank Lie group, then any closed manifold $M$, admitting a smooth locally free action of $G$, with codimension one orbits, is finitely and equivariantly covered by $G/\Gamma \times S^1$, for some cocompact lattice $\Gamma$ of $G$, where $G$ acts by left translations on the first factor, and trivially on $S^1$. This result is in the spirit of the Zimmer program. We will focus on the case $G = \mathrm{SL}(3,\mathbb{R})$ for the talk.
Brandon Seward
November 21, 2024
10:00 AM
Zoom: https://ucsd.zoom.us/j/96741093409
Research Areas
Ergodic Theory and Dynamical Systems****************************
