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SUMMARY:Andrés Moreno\, "A parabolic flow for the large volume heterotic 
 G2 system"
DTSTART:20260424T091500Z
DTEND:20260424T103000Z
DTSTAMP:20260411T160100Z
UID:indico-event-16153@indico.math.cnrs.fr
DESCRIPTION:The solution of the Killing spinor equations (KSE) in the unde
 rlying manifold M are an important assumption in string theory\, Depending
  on the manifold dimension\, these equations are related with the existenc
 e of a geometric structure with a particular torsion. In dimension seven\,
  these equations are related to the existence of a G2-structure φ ∈ Ω^
 3(M )\, admitting a unique linear connection ∇ with totally skew-symmetr
 ic torsion Hφ\, such that: ∇φ = 0 and dHφ = 0. The first equation is 
 equivalent to d ∗ φ = θ ∧ ∗φ where θ is called the Lee form and 
 ∗ φ is the Hodge dual 4-form of φ. In particular\,when θ = dϕ is non
 -zero\, φ solves the KSE with exact Lee form.\nIn this talk\, we introduc
 e a geometric flow of G2-structures\, which preserve the conformally coclo
 sed condition and whose critical points are solutions of the KSE with exac
 t Lee form\, in particular\, when M is compact\, those critical points are
  torsion-free G2-structures. For this flow\, we prove short-time existence
  and uniqueness of solutions\, as well as Shi-type estimates for the flow\
 , it leads to a general result on the convergence of nonsingular solutions
 .. Moreover\, we consider a particular case of G2-structures with SU(3)-sy
 mmetry and for this Ansatz\, the dimensional reduction for the flow equati
 on becomes a coupled type IIA and type IIB flow for the SU(3)-structure. T
 his is a joint work (arxiv: 2512.14317) with M. Garcia Fernandez (ICMAT)\,
  A. Payne (NC State) and J. Streets (UCI).\n\nhttps://indico.math.cnrs.fr/
 event/16153/
URL:https://indico.math.cnrs.fr/event/16153/
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