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SUMMARY:Anusha Krishnan
DTSTART:20211207T133000Z
DTEND:20211207T143000Z
DTSTAMP:20260423T022619Z
UID:GeoSem/30
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GeoSem/30/">
 Positive sectional curvature and Ricci flow</a>\nby Anusha Krishnan as par
 t of Geometry Seminar - University of Florence\n\n\nAbstract\nThe preserva
 tion of positive curvature conditions under the Ricci flow has been an imp
 ortant ingredient in applications of the flow to solving problems in geome
 try and topology. Works by Hamilton and others established that certain po
 sitive curvature conditions are preserved under the flow\, culminating in 
 Wilking's unified\, Lie algebraic approach to proving invariance of positi
 ve curvature conditions. Yet\, some questions remain. In this talk\, we de
 scribe sec > 0 initial metrics on S^4\, where the condition of sec > 0 is 
 not preserved under the Ricci flow. Previously\, examples of such behaviou
 r were known for sec \\geq 0\, and for sec > 0 in dimension 6 and above. T
 his is joint work with Renato Bettiol.\n
LOCATION:https://researchseminars.org/talk/GeoSem/30/
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