Recent advances and techniques in complex surfaces
1 PM, 11 Nov 2026
The London Institute hosts a workshop on complex surfaces focusing on non-Kähler geometry, Class VII surfaces and holomorphic foliations.
Complex surfaces are a rapidly developing subject at the frontier of complex algebraic and differential geometry. This workshop brings together researchers to explore recent advances and techniques in the field, with a particular emphasis on non-Kähler surfaces and on methods applicable to the study of higher-dimensional non-algebraic manifolds.
Key themes include, but are not limited to, Class VII surfaces, foliation theory and non-Kähler geometry. Alongside talks by leading international specialists, the programme features introductory lectures aimed at PhD students and at mathematicians working in other fields, making current research accessible to a wider audience.
By bringing these specialists to Britain, the workshop aims to highlight recent progress in the area, raise its profile within London and across the broader mathematical community in the UK, and cultivate a collaborative atmosphere that builds bridges between established experts and the next generation of mathematicians.
Event information
This workshop takes place on Wednesday 11 November to Saturday 14 November at the London Institute for Mathematical Sciences, which is on the second floor of the Royal Institution in Mayfair. All researchers with an interest in these topics are invited to attend. This event was supported by a grant from the London Mathematical Society. No registration is required. For full details and schedule, please visit the website.
Programme
November 11th
- 13:00 Welcome coffee
- 13:30 Andrei Teleman – Introduction lecture
- 14:30 Coffee break
- 15:00 Mauricio Corrêa – Chern–Ricci flow on Kato surfaces
- 16:00 Informal discussions
- 17:00 Anton Kapustin – LIMS colloquium
November 12th
- 10:00 Anna Fino – Balanced Hermitian geometry from K3 surfaces
- 11:00 Coffee break
- 11:30 Liviu Ornea – Two generalisations in higher dimensions of the Inoue surface SM
- 12:30 Lunch break
- 13:30 Matei Toma – TBA
- 14:30 Coffee break
- 15:00 Giuseppe Barbaro – Pluriclosed flow on complex surfaces
- 16:00 Lorenzo Sillari – TBA
- 17:00 Informal discussions
- 18:30 Conference dinner
November 13th
- 10:00 Vlad Marchidanu – TBA
- 11:00 Coffee break
- 11:30 Nicoletta Tardini – TBA
- 12:30 Lunch break
- 13:30 Michael McQuillan – TBA
- 14:30 Coffee break
- 15:00 Andrei Teleman – On the classification of Inoue surfaces
- 16:00 AI and class VII surfaces: discussing recent results
- 17:00 Reception at LIMS
November 14th
- 10:00 Discussions – AI and complex surfaces: on open questions
LCP
Speakers
Dr Giuseppe Barbaro is a researcher at Aarhus University. He works in complex and Hermitian geometry, studying special non-Kähler metrics, the curvature of the Bismut connection and geometric flows, especially the pluriclosed flow, its stability and its behaviour on Lie groups.
Dr Mauricio Corrêa is a mathematician at the University of Bari. He works in complex algebraic geometry, studying singular holomorphic foliations and distributions on projective varieties, their singular schemes, residues and characteristic classes, and their moduli spaces.
Anna Fino is a professor of geometry at the University of Turin. She studies special Hermitian metrics on non-Kähler manifolds, G2-structures and geometric flows, often on nilmanifolds and solvmanifolds, and is known for the Fino–Vezzoni conjecture on SKT and balanced metrics.
Liviu Ornea is a professor at the University of Bucharest and a researcher at the Romanian Academy’s Institute of Mathematics. He works in complex geometry, especially locally conformally Kähler (LCK), Vaisman and Sasakian manifolds, and has co-written two books on LCK geometry.
Dr Nicoletta Tardini is a researcher at the University of Parma. She studies the cohomology of complex, almost complex and symplectic manifolds, including Bott–Chern and Aeppli cohomologies, special Hermitian metrics and Hodge theory on non-Kähler and almost Hermitian manifolds.
Andrei Teleman is a professor of mathematics at Aix-Marseille University. He works in gauge theory and complex geometry, including Donaldson and Seiberg–Witten theory, the Kobayashi–Hitchin correspondence and the classification of non-Kähler complex surfaces of class VII.
Matei Toma is a professor of mathematics at the University of Lorraine. He works in complex geometry, on stability and moduli spaces of sheaves and on non-Kähler manifolds, including the Oeljeklaus–Toma manifolds, which he and Karl Oeljeklaus constructed from number fields.
Dr Lorenzo Sillari is a researcher at the University of Parma. He works in almost complex and almost Hermitian geometry, studying harmonic forms and their relation to Dolbeault, Bott–Chern and Aeppli cohomologies, and how Hodge theory extends beyond integrable complex structures.
Michael McQuillan is a professor at the University of Rome Tor Vergata. He works in algebraic and arithmetic geometry, including Diophantine geometry, the hyperbolicity of varieties and the Green–Griffiths conjecture, and the birational geometry of holomorphic foliations.