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BEGIN:VEVENT
UID:news461@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20181228T170629
DTSTART;TZID=Europe/Zurich:20150408T151500
SUMMARY:Seminar Analysis: Esther Cabezas-Rivas (Goethe University Frankfurt
 )
DESCRIPTION:Almost flat manifolds are the solutions of bounded size perturb
 ations of the equation Sec=0  (Sec  is  the  sectional  curvature).   In  
 a  celebrated  theorem\,  Gromov  proved  that  the presence of an almost 
 flat metric implies a precise topological description of the underlying ma
 nifold. \\r\\nIntegral pinching theorems express curvature assumptions in 
 terms of certain Lp-norms and try to deduce topological conclusions.  But 
 typically one needs to require p >n2\, where n is the dimension of the man
 ifold\, to prove such rigidity theorems.\\r\\nDuring this talk we will exp
 lain how\, under lower sectional curvature bounds\, to imposeanL1-pinching
  condition on the curvature is surprisingly rigid\, leading indeed to the 
 same conclusion as in Gromov’s theorem under more relaxed curvature cond
 itions.\\r\\nThis is a joint work with B. Wilking.
X-ALT-DESC:\nAlmost flat manifolds are the solutions of bounded size pertur
 bations of the equation Sec=0  (Sec  is  the  sectional  curvature).   In 
  a  celebrated  theorem\,  Gromov  proved  that  the presence of an almost
  flat metric implies a precise topological description of the underlying m
 anifold. \nIntegral pinching theorems express curvature assumptions in ter
 ms of certain L<sup>p</sup>-norms and try to deduce topological conclusion
 s.  But typically one needs to require p &gt\;n2\, where n is the dimensio
 n of the manifold\, to prove such rigidity theorems.\nDuring this talk we 
 will explain how\, under lower sectional curvature bounds\, to imposeanL1-
 pinching condition on the curvature is surprisingly rigid\, leading indeed
  to the same conclusion as in Gromov’s theorem under more relaxed curvat
 ure conditions.\nThis is a joint work with B. Wilking.
DTEND;TZID=Europe/Zurich:20150408T161500
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