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PRODID:-//Memento EPFL//
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SUMMARY:On Ricci flow invariant curvature cones
DTSTART:20140218T161500
DTEND:20140218T171500
DTSTAMP:20260916T050000Z
UID:131ded7f915c1367e3c6b28f0f2868b7915ef97b937f04de6c261de5
CATEGORIES:Conferences - Seminars
DESCRIPTION:Thomas Richard (EPFL)\nGeometry and Dynamics Seminar\nAbstract
 : This is a joint work with H. Seshadri (IISc Bangalore).\nThe Ricci flow 
 is a parabolic evolution equation for Riemannian metrics which has found i
 mportant geometric applications (namely the proof of the Poincaré conject
 ure and of the differentiable sphere theorem). In these applications\, it 
 is useful to find conditions on the curvature which are preserved by the R
 icci flow. These conditions are encoded by convex cones in a space of tens
 ors which have the same symmetries as the Riemann curvature tensor. A suit
 able maximum principle for parabolic systems shows that the preservation o
 f these conditions is equivalent to the stability of the associated cone u
 nder the flow of an explicit quadratic vector field. We show some generals
  result on such cones\, which show some kind of strong dichotomy between t
 he condition `nonnegative scalar curvature' and stronger ones.
LOCATION:MA A3 31
STATUS:CONFIRMED
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