Finite embeddability of groups and its applications to geometry and topology
Amenability, coarse embeddability and fixed point properties December 06, 2016 - December 09, 2016
Location: MSRI: Simons Auditorium
coarse embedding
finite embeddability
K theory
C* algebras
Amenability
a-T-menability
fixed point properties
hyperbolic groups and generalizations
Banach space
group cohomology
expander graph
index theory
non-commutative geometry
43-XX - Abstract harmonic analysis {For other analysis on topological and Lie groups, see 22Exx}
46-XX - Functional analysis {For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx}
57-XX - Manifolds and cell complexes {For complex manifolds, see 32Qxx}
20F65 - Geometric group theory [See also 05C25, 20E08, 57Mxx]
14645
We will introduce the concept of finite embeddability of groups and discuss its applications to non-rigidity of topological manifolds and the moduli space of positive scalar curvature metrics. A certain secondary invariant of elliptic operators plays a crucial role in these applications. This is joint work with Shmuel Weinberger and Zhizhang Xie
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14645
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