Timeline for Is there some lattice not rigid
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5 events
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Jul 26, 2014 at 11:42 | comment | added | Igor Belegradek | Your examples are of infinite covolume. Yes, Mostow rigidity (or even the Weil rigidity mentioned by Andy Sanders) rules out deformations of a lattice in the associated Lie group, but the lattice could a priori be deformed in a bigger Lie group. This is discussed in the paper I linked aboved. | |
Jul 26, 2014 at 6:56 | comment | added | user42804 | actually the example i see is the deformation of scokotty group and the ICM talk of Schwatz. Does Strong rigidity rules out all the possibility of nontrivial deformation of lattice(Even in rank one)except PSL(2,R)? | |
Jul 25, 2014 at 15:30 | answer | added | Andy Sanders | timeline score: 3 | |
Jul 25, 2014 at 15:15 | comment | added | Igor Belegradek | Please state precisely what you heard. Most likely, it concerned infinite covolume isometry groups. Even in that case there is a lot of rigidity (due to Goldman-Millson and hence generalized in various ways, see e.g. arxiv.org/abs/0903.3706). | |
Jul 25, 2014 at 14:28 | history | asked | user42804 | CC BY-SA 3.0 |