Special Holonomy and Special Metrics in Math & Physics Seminar - Thursday 22 at at 14:00 - Jacopo Stoppa - VENUE: ICTP Luigi Stasi seminar room

[ICTP Math Section]

_*Special Holonomy and Special Metrics in Math & Physics Seminar*_

Thursday 22 May 2025_
_

VENUE and TIME: Luigi Stasi seminar room, at 14:00_
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Title: *"A toric case of the Thomas-Yau conjecture"*

Speaker: *Jacopo Stoppa* (SISSA)

*Abstract: *We consider a class of Lagrangian sections L contained in 
certain Calabi-Yau Lagrangian fibrations (mirrors of toric weak Fano 
manifolds). We prove that a form of the Thomas-Yau conjecture holds in 
this case: L is Hamiltonian isotopic to a special Lagrangian section in 
this class if and only if a stability condition holds, in the sense of a 
slope inequality on objects in a set of exact triangles in the 
Fukaya-Seidel category. This agrees with general proposals by Li./Based 
on arXiv:2505.07228./

/All are welcome to attend./

/https://indico.ictp.it/event/11043//

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