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比利时vs摩洛哥足彩 ,
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

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