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SUMMARY:Geometry and dynamics seminar: Non smooth spaces with Ricci curvat
 ure lower bounds: old problems and new techniques
DTSTART:20150325T161500
DTEND:20150325T173000
DTSTAMP:20260510T053518Z
UID:980da6e2431017bef21a5c85ba315b10779e0ed03532d4b592c89772
CATEGORIES:Conferences - Seminars
DESCRIPTION:Andrea Mondino (ETH)\nThe idea of compactifying the space of R
 iemannian manifolds satisfying Ricci curvature lower bounds goes back to G
 romov in the ’80ies and was pushed by Cheeger and Colding in the ’90ie
 s (and more recently by Colding-Naber and Cheeger-Naber) who investigated 
 the structure of the spaces arising as Gromov-Hausdorff limits of smooth R
 iemannian manifolds satisfying Ricci curvature lower bounds.\nA completely
  new approach via optimal transportation was proposed by Lott-Villani and 
 Sturm almost ten years ago\; with this approach one can a give a precise m
 eaning of what means for a non smooth space to have Ricci curvature bounde
 d from below by a constant. This approach has been refined in the last yea
 rs by a number of authors (let me quote the fundamental work of Ambrosio-G
 igli-Savaré among others) and a number of fundamental tools have now been
  established (for instance the Bochner inequality)\, permitting to give fu
 rther insights in the theory. In the seminar I will give an overview of th
 e topic.
LOCATION:GC C3 30 http://plan.epfl.ch/?zoom=20&recenter_y=5864214.51967&re
 center_x=730902.15996&layerNodes=fonds\,batiments\,labels\,information\,pa
 rkings_publics\,arrets_metro\,transports_publics&floor=3&q=GC_C3%2030
STATUS:CONFIRMED
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