Zimmer's conjecture
From HandWiki
Short description: Conjecture that symmetries exist in higher dimensions that cannot exist in lower dimensions
Zimmer's conjecture is a statement in mathematics "which has to do with the circumstances under which geometric spaces exhibit certain kinds of symmetries."[1] It was named after the mathematician Robert Zimmer. The conjecture states that there can exist symmetries (specifically higher-rank lattices) in a higher dimension that cannot exist in lower dimensions.
In 2017, the conjecture was proven by Aaron Brown and Sebastián Hurtado-Salazar of the University of Chicago and David Fisher of Indiana University.[1][2][3]
References
- ↑ 1.0 1.1 Hartnett, Kevin (2018-10-23). "A Proof About Where Symmetries Can't Exist". Quanta Magazine. https://www.quantamagazine.org/a-proof-about-where-symmetries-cant-exist-20181023/.
- ↑ Brown, Aaron; Fisher, David; Hurtado, Sebastian (2017-10-07). "Zimmer's conjecture for actions of SL(𝑚,ℤ)". arXiv:1710.02735 [math.DS].
- ↑ "New Methods for Zimmer's Conjecture" (in en-US). IPAM. https://www.ipam.ucla.edu/programs/workshops/new-methods-for-zimmers-conjecture/.
 |  |
