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SUMMARY:Roman Sauer (KIT)
DTSTART:20210208T170000Z
DTEND:20210208T180000Z
DTSTAMP:20260423T005842Z
UID:TG_ET/13
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TG_ET/13/">A
 ction on Cantor spaces and macroscopic scalar curvature</a>\nby Roman Saue
 r (KIT) as part of Topology and geometry: extremal and typical\n\n\nAbstra
 ct\nWe prove the macroscopic cousins of three conjectures: 1) a conjectura
 l bound of the simplicial volume of a Riemannian manifold in the presence 
 of a lower scalar curvature bound\, 2) the conjecture that rationally esse
 ntial manifolds do not admit metrics of positive scalar curvature\, 3) a c
 onjectural bound of $\\ell^2$-Betti numbers of aspherical Riemannian manif
 olds in the presence of a lower scalar curvature bound. The macroscopic co
 usin is the statement one obtains by replacing a lower scalar curvature bo
 und by an upper bound on the volumes of 1-balls in the universal cover. Gr
 oup actions on Cantor spaces surprisingly play an important role in the pr
 oof. The talk is based on joint work with Sabine Braun.\n
LOCATION:https://researchseminars.org/talk/TG_ET/13/
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