Superintrinsic synthesis in fixed point properties
Amenability, coarse embeddability and fixed point properties December 06, 2016 - December 09, 2016
Location: SLMath: Eisenbud Auditorium
fixed point properties
property (T)
property t
expander graph
bounded generation
hyperbolic groups and generalizations
Banach space
group cohomology
index theory
non-commutative geometry
00A35 - Methodology of mathematics {For mathematics education, see 97-XX}
00B25 - Proceedings of conferences of miscellaneous specific interest
00B55 - Collections of translated articles of miscellaneous specific interest
01-11 - Research data for problems pertaining to history and biography
20E15 - Chains and lattices of subgroups, subnormal subgroups [See also 20F22]
14648
The following natural question arises from Shalom's innovational work (1999, Publ.IHES) on Kazhdan's property (T). ``Can we establish an `intrinsic' criterion to synthesize relative fixed point properties into the whole fixed point property without assuming `Bounded Generation'?'' This talk is aimed to present a resolution to this question in the affirmative. Our criterion works for ones with respect to certain classes of Busemann Non-Positively Curved spaces. It, moreover, suggests a further step toward constructing super-expanders from finite simple groups of Lie type.
Mimura Notes
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14648
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