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SUMMARY:Torsion-free H-structures in almost Abelian geometry
DTSTART:20261112T130000Z
DTEND:20261112T150000Z
DTSTAMP:20261103T013300Z
UID:indico-event-17042@indico.math.cnrs.fr
DESCRIPTION:Speakers: Marco Freibert (Universität Hamburg)\n\nThe concept
  of an H-structure encompasses many important geometric structures on mani
 folds\, including (almost) complex\, (almost) symplectic\, (almost) Hermit
 ian and Kähler structures. Of particular interest are H-structures satisf
 ying certain integrability conditions\, such as torsion-freeness.\nIn this
  talk\, we study invariant torsion-free H-structures on almost Abelian Lie
  groups G and associated compact quotients Γ\\G. Such Lie groups are dete
 rmined by a single endomorphism and\, despite their simple algebraic descr
 iption\, provide many interesting examples and counterexamples in differen
 tial geometry\, in particular in low dimensions.\nIn recent years\, invari
 ant geometric structures on almost Abelian Lie groups have been studied ex
 tensively\, leading to characterisations and classifications of almost Abe
 lian Lie groups admitting torsion-free H-structures in terms of their defi
 ning endomorphisms.\nI will present a general approach that unifies and su
 bstantially extends these results to broad classes of linear Lie groups H\
 , revealing general conditions under which torsion-freeness implies flatne
 ss and yielding explicit characterisations also in many other cases.\n\nht
 tps://indico.math.cnrs.fr/event/17042/
URL:https://indico.math.cnrs.fr/event/17042/
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