Chromatic number and regular subgraphs
Janzer, B
Steiner, R
Sudakov, B
Bulletin of the London Mathematical Society
(17 Dec 2025)
Mon, 02 Mar 2026
14:15
14:15
L4
Metric wall-crossing
Ruadhai Dervan
(University of Warwick)
Abstract
Moduli spaces in algebraic geometry parametrise stable objects (bundles, varieties,...), and hence depend on a choice of stability condition. As one varies the stability condition, the moduli spaces vary in a well-behaved manner, through what is known as wall-crossing. As a general principle, moduli spaces admit natural Weil-Petersson metrics; I will state conjectures around the metric behaviour of moduli spaces as one varies the stability condition.
I will then prove analogues of these results in the model setting of symplectic quotients of complex manifolds, or equivalently geometric invariant theory. As one varies the input that determines a quotient, I will state results which explain the metric geometry of the resulting quotients (more precisely: Gromov-Hausdorff convergence towards walls, and metric flips across walls). As a byproduct of the approach, I will extend variation of geometric invariant theory to the setting of non-projective complex manifolds.
We are currently inviting applications for a Postdoctoral Research Associate to work with Professor James Maynard at the Mathematical Institute, University of Oxford. This is a 3-year, fixed-term position, funded by a research grant from the European Research Council (ERC). The starting date of this position is flexible with an earliest start date of 01 June 2026.
First explore, then settle: a theoretical analysis of evolvability as a driver of adaptation
Jimenez-Sachez, J
Ortega-Sabater, C
Maini, P
Lorenzi, T
Perez-Garcia, V
Bulletin of Mathematical Biology
Thu, 19 Mar 2026
14:00 -
15:00
(This talk is hosted by Rutherford Appleton Laboratory)
Mon, 23 Feb 2026
14:15
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.
Locality in sumsets
van Hintum, P
Keevash, P
Advances in Mathematics
volume 485
110727
(Feb 2026)