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DTSTART:20210328T030000
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BEGIN:VEVENT
DTSTAMP:20260407T163937Z
UID:1618324200@ist.ac.at
DTSTART:20210413T163000
DTEND:20210413T171500
DESCRIPTION:Speaker: Justin Salez\nhosted by M. Beiglböck\, N. Berestycki\
 , L. Erdös\, J. Maas\, F. Toninelli\nAbstract: We prove that bounded-degr
 ee expanders with non-negative Ollivier-Ricci curvature do not exist\, the
 reby solving a long-standing open problem suggested by Naor and Milman and
  publicized by Ollivier (2010). In fact\, this remains true even if we all
 ow for a vanishing proportion of large degrees\, large eigenvalues\, and n
 egatively-curved edges. To establish this\, we work directly at the level 
 of Benjamini-Schramm limits\, and exploit the entropic characterization of
  the Liouville property on stationary random graphs to show that non-negat
 ive curvature and spectral expansion are incompatible "at infinity". We th
 en transfer this result to finite graphs via local weak convergence. The s
 ame approach applies to the Bakry-Émery curvature condition CD(0\, ∞)\,
  thereby settling a recent conjecture of Cushing\, Liu and Peyerimhoff (20
 19).
LOCATION:Online via Zoom\, ISTA
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at
SUMMARY:Justin Salez: Sparse expanders have negative curvature
URL:https://talks-calendar.ista.ac.at/events/3156
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