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DTSTART:20230312T070000
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DTSTART;TZID=America/Toronto:20240111T143000
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URL:https://uwaterloo.ca/pure-mathematics-geometry-topology/events/positive
 -intermediate-ricci-curvature-maximal-symmetry-rank
SUMMARY:Positive intermediate Ricci curvature with maximal symmetry rank
CLASS:PUBLIC
DESCRIPTION:LAWRENCE MOUILLÉ\, SYRACUSE UNIVERSITY\n\nThe Grove-Searle Max
 imal Symmetry Rank Theorem (MSRT) is a\nfoundational result in the study o
 f manifolds with positive sectional\ncurvature and large isometry groups. 
 It provides a classification of\nclosed\, positively curved manifolds that
  admit isometric actions by\ntori of large rank. In this talk\, I will pre
 sent progress towards\nextending the MSRT to positive intermediate Ricci c
 urvature\, a\ncondition that interpolates between positive sectional curva
 ture and\npositive Ricci curvature. Grove and Searle were able to employ\n
 concavity of distance functions to establish their MSRT\, but this\nfeatur
 e is not available for positive intermediate Ricci curvature. I\nwill disc
 uss how we can overcome this barrier using a strengthening of\nWilking's C
 onnectedness Lemma. A portion of this talk is from joint\nwork with Lee Ke
 nnard.\n\nMC 5417
DTSTAMP:20260314T211146Z
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