Autumn 2026
The Seminar runs on Tuesdays at STRAND BLDG S526. This term, talks will run from 15:00 to 16:00.
6 October, 15:00-16:00, STRAND BLDG S526
Speaker: Claudia Pontuale (Università degli Studi dell’Aquila)
Title: Stability and Do Carmo’s problem: from isotropic to anisotropic.
Abstract: Do Carmo’s problem asks whether every complete, noncompact, stable constant mean curvature (CMC) hypersurface in Euclidean space must be minimal. I will first review some classical and recent progress on this question, with particular emphasis on dimension-free rigidity phenomena and on their connection with the stable Bernstein problem. I will then turn to the anisotropic counterpart of Do Carmo’s question, where stability can still impose strong restrictions on the geometry at infinity. In particular, I will present a one-endedness theorem for stable constant anisotropic mean curvature hypersurfaces under a natural ellipticity condition and discuss the main ideas behind its proof.
13 October, 15:00-16:00, STRAND BLDG S526
Speaker: Stephen Lynch (KCL)
Title: Surgery for the mean curvature flow in higher codimension
Abstract: The mean curvature flow offers a powerful mechanism for evolving extrinsic geometries into canonical forms. However solutions are subject to finite-time singularity formation. A profound problem, with many potential applications, is to reveal the geometric information encoded in these singularities. I will discuss work with Huy Nguyen in which we construct a flow with surgery for submanifolds of higher codimension under a natural curvature pinching condition. The key new contribution is fine control on singularities, allowing for them to be removed, after which the flow can continue smoothly. The construction has topological consequences.
20 October, 15:00-16:00, STRAND BLDG S526
Speaker: Ivan Smith (Cambridge)
Title: TBD
Abstract: TBD
27 October, 15:00-16:00, STRAND BLDG S526
Speaker: Simon Salamon (KCL)
Title: TBD
Abstract: TBD
3 November, 15:00-16:00, STRAND BLDG S526
Speaker: Albert Wood (KCL)
Title: TBD
Abstract: TBD
10 November, 15:00-16:00, STRAND BLDG S526
Speaker: Jonny Evans (Lancaster)
Title: TBD
Abstract: TBD
17 November, 15:00-16:00, STRAND BLDG S526
Speaker: Anne-Sophie Kaloghiros (Brunel)
Title: TBD
Abstract: TBD
24 November, 15:00-16:00, STRAND BLDG S526
Speaker: Cheuk Yu Mak (Sheffield)
Title: TBD
Abstract: TBD
1 December, 15:00-16:00, STRAND BLDG S526
Speaker: Peter Jossen (KCL)
Title: TBD
Abstract: TBD
8 December, 15:00-16:00, STRAND BLDG S526
Speaker: Kaito Xie (HKU)
Title: TBD
Abstract: TBD