Thu, 19 Mar 2026

14:00 - 15:00
(This talk is hosted by Rutherford Appleton Laboratory)

TBA

Dr Steph Folds
(University of Strathclyde)
Abstract

TBA; this talk is hosted at RAL. 

Mon, 23 Feb 2026
14:15
L4

A toric case of the Thomas-Yau conjecture

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 isomorphic 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. On
surfaces and threefolds, under more restrictive assumptions, this result can be used to show a precise relation with Bridgeland stability, as predicted by Joyce. Based on arXiv:2505.07228 and arXiv:2508.17709.

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