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SUMMARY:Guolei Zhong (Institute for Basic Science)
DTSTART:20220315T090000Z
DTEND:20220315T100000Z
DTSTAMP:20260423T052837Z
UID:ZAG/193
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ZAG/193/">Co
 mpact Kähler threefolds with the action of an abelian group of maximal dy
 namical rank</a>\nby Guolei Zhong (Institute for Basic Science) as part of
  ZAG (Zoom Algebraic Geometry) seminar\n\n\nAbstract\nLet X be a compact K
 aehler manifold. It is proved by Dinh and Sibony that\, for any abelian su
 bgroup G of the automorphism group Aut(X)\, if G is of positive entropy\, 
 then G is free abelian with rank no more than dim(X)-1. In the past decade
 \, when X is projective\, the extremal case rank(G)=dim(X)-1 (being maxima
 l) has been intensively studied by Zhang. In this talk\, we consider the c
 ase when X is a general compact Kaehler 3-fold and rank(G)=2. By running t
 he G-equivariant log minimal model program\, we show that such X is either
  rationally connected\, or bimeromorphic to a quasi-etale quotient of a co
 mplex 3-torus.\n
LOCATION:https://researchseminars.org/talk/ZAG/193/
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