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Morse actions of discrete groups on symmetric spaces: Local-to-global principle

Our main result is a local-to-global principle for Morse quasigeodesics, maps and actions. As an application of our techniques we show algorithmic recognizability of Morse actions and construct Morse ``Schottky subgroups'' of higher rank semisimple Lie groups via arguments not based on Tits' ping-pong. Our argument is purely geometric and proceeds by constructing equivariant Morse quasiisometric embeddings of trees into higher rank symmetric spaces.
arxiv.org

Positron Assistant: GitHub Copilot and Claude-Powered Agentic Coding in R

Reposted from the original at https://blog.stephenturner.us/p/positron-assistant-copilot-chat-agent I have a little hobby project I'm working on and I wanted to use the opportunity to fully make the switch to Positron from RStudio. I used Positron here and there when it first came out, but now that it's out of beta and has a more complete feature set (like remote SSH sessions!) I have everything I need to switch and not look back.
gettinggeneticsdone.blogspot.com

Isometric actions of Heisenberg groups on compact Lorentz manifolds

We prove results toward classifying compact Lorentz manifolds on which Heisenberg groups act isometrically. We give a general construction, leading to a new example, of codimension-one actions--those for which the dimension of the Heisenberg group is one less than the dimension of the manifold. The main result is a classification of codimension-one actions, under the assumption they are real-analytic.
arxiv.org