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SUMMARY:Stavros Anastassiou (Univ. Patras)
DTSTART:20210922T150000Z
DTEND:20210922T160000Z
DTSTAMP:20260419T091911Z
UID:CHEM/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CHEM/4/">Glo
 bal study of the Ricci flow on flag manifolds with second Betti number equ
 al to 1</a>\nby Stavros Anastassiou (Univ. Patras) as part of Workshop on 
 compact homogeneous Einstein manifolds\n\n\nAbstract\nFor any flag manifol
 d $M = G/K$ of a compact simple Lie group $G$ we describe some qualitative
  properties of the homogeneous un-normalized Ricci flow. We engage ourselv
 es with the global study of the dynamical system induced by this flow on a
 ny flag manifold $M = G/K$ with second Betti number $b_2(M) = 1$\, and pre
 sent non-collapsed ancient solutions\, whose $\\alpha$-limit set consists 
 of fixed points at infinity of $\\mathscr{M}^G$ . Based on the Poincaré c
 ompactification method\, we show that these fixed points correspond to inv
 ariant Einstein metrics\, which we classify according to their stability p
 roperties\, illuminating thus the structure of the system¢s phase space. 
 This is a joint work with Ioannis Chrysikos.\n
LOCATION:https://researchseminars.org/talk/CHEM/4/
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