Scientific Calendar Event



Description
The call for application is now closed.

An ICTP meeting organised in partnership with the Clay Mathematics Institute.

The aim of this conference is to fuel the interaction between researchers in different aspects of Real and Complex Differential Geometry. To this end, the meeting will include wide-ranging talks and more focused seminars by experienced specialist and young researchers, integrated by informal discussions and problem sessions.

In recent years, we have witnessed striking new developments in Differential and Complex Geometry, while some fundamental questions remain still open. These fields are evolving rapidly as indicated by the recent breakthroughs on Poincare' conjecture and the existence of Kaehler-Einstein metrics on Fano varieties. One of the themes of this international conference is the search for special Hermitian metrics especially motivated by problems in Geometry and Topology and by Theoretical Physics models. The existence problem for constant scalar curvature metrics, the existence of holomorphic structures on the six-dimensional sphere, the complete classification of compact complex surfaces in class VII, and the classification of gravitational instantons are just a few examples of problems of current interest.

TOPICS:
  • Special Hermitian metrics
  • Gravitational instantons and metrics of constant scalar curvature
  • 4-dimensional geometry and topology
  • Almost-complex and symplectic structures
  • Geometric flows techniques

SPEAKERS:

M. Albanese – The University of Adelaide, Australia
V. Apostolov – Université du Québec à Montréal, Canada

G. Besson – Institut Fourier, Université Grenoble Alpes, France
O. Biquard – Institut de mathématiques de Jussieu, France 
R. Bryant – Duke University, USA 
X. Chen – University of Science and Technology of China, China 
C. Cifarelli – Stony Brook University, USA
A. Dranishnikov – University of Florida, USA
P. Gauduchon – École Polytechnique, France
G. Grantcharov – Florida International University, USA 
U. Hamenstädt – University of Bonn, Germany
H. Hein – University of Münster, Germany
N. Istrati – University of Angers, France
E. Legendre - Université Lyon 1, France

A. Otiman – Aarhus University, Denmark
T. Ozuch – MIT, USA
A. Sambusetti – University of Roma La Sapienza, Italy
S. Salamon – King’s College London, UK 
A. Song – California Institute of Technology (Caltech), USA 
S. Sun – Zhejiang University, China
C. Tonnesen-Friedman – Union College, USA
V. Tosatti – New York University, USA
J. Viaclovsky - UC Irvine, USA

Special Lecture by Sir Roger Penrose - Emeritus Rouse Ball Professor of Mathematics at the University of Oxford, UK
 

The conference is intended as an appreciation of the scientific contributions 
of Claude LeBrun.
 
 
Poster: Applicants are encouraged to submit an abstract for a poster presentation.
Please use ICTP templates available for download here and below under 'Material'.

Grants: A limited number of grants are available to support the attendance of selected participants, with priority given to participants from developing countries. There is no registration fee.
Go to day
  • Monday, 25 May 2026
    • 08:30 - 21:00
      • 08:30 Coffee and Registration 1h10'
        Upon arrival, Visitors NOT staying in the ICTP Guest Houses, are kindly requested to complete registration formalities at the Leonardo Building (Lobby). The Registration Desk will be open in the morning starting from 8:30.
      • 09:40 Opening Remarks 20'
      • 10:00 Stability of 4-dimensional shrinking Ricci solitons 1h0'
        Speaker: Tristan Ozuch (MIT)
        Material: Abstract Video
      • 11:10 K-polystability of asymptotically conical Kähler-Ricci shrinkers 1h0'
        Speaker: Charles Cifarelli (Stony Brook University)
        Material: Abstract Video
      • 12:10 Lunch Break 1h50'
      • 14:00 Lee deformations and algebraic reductions of Vaisman manifolds 1h0'
        Speaker: Nicolina Istrati (University of Angers)
        Material: Abstract
      • 15:10 On the SL(n, H) and strong HKT geometries 1h0'
        Speaker: Gueo Vladimirov Grantcharov (Florida International University)
        Material: Abstract Video
      • 16:20 On the extremal metrics 1h0'
        Speaker: Xiuxiong Chen (University of Science and Technology of China)
        Material: Abstract Video
      • 19:00 Welcome Reception 2h0'
  • Tuesday, 26 May 2026
    • 08:30 - 17:20
      • 08:30 Bring-your-own coffee discussion 30'
      • 09:00 Hermitian geometry, Einstein metrics, and stability 1h0'
        Speaker: Olivier Thierry Biquard (Institut de mathématiques de Jussieu)
        Material: Abstract Video
      • 10:00 Hodge Theoretic Results for Nearly K¨ahler Manifolds 1h0'
        Speaker: Michael James Albanese (The University of Adelaide)
        Material: Abstract Video
      • 11:00 Group Photo 10'
      • 11:10 Coffee Break 20'
      • 11:30 The CR-Yamabe problem and K-semistability 1h0'
        Speaker: Eveline Legendre (Université Lyon 1)
        Material: Abstract Video
      • 12:30 Lunch Break 1h30'
      • 14:00 On Topology and Geometry of Symmetric Product of Surfaces 1h0'
        Speaker: Alexander Dranishnikov (University of Florida)
        Material: Abstract Video
      • 15:10 CAT(0)-spaces quasi-isometric to the Euclidean space 1h0'
        Speaker: Andrea Sambusetti (University of Roma La Sapienza)
        Material: Abstract Video
      • 16:20 Harmonic maps into high-dimensional spheres 1h0'
        Speaker: Antoine Youcun Song (Remote) (California Institute of Technology (Caltech))
        Material: Abstract
  • Wednesday, 27 May 2026
    • 08:30 - 17:10
      • 08:30 Bring-your-own coffee discussion 30'
      • 09:20 Harmonic functions and mini twistor spaces 1h0'
        Please note that the morning lectures will be held in the LAGRANGE LECTURE HALL
        Speaker: Simon Salamon (King’s College London)
        Material: Abstract Video
      • 10:30 Non-K¨ahler Calabi-Yau geometries on 3-folds 1h0'
        Please note that the morning lectures will be held in the LAGRANGE LECTURE HALL
        Speaker: Vestislav Dragomirov Apostolov (Université du Québec à Montréal)
        Material: Abstract Video
      • 11:30 Coffee Break 20'
      • 11:50 Branched coverings and Einstein cone metrics 1h0'
        Please note that the morning lectures will be held in the LAGRANGE LECTURE HALL
        Speaker: Ursula Hamenstäd (University of Bonn)
        Material: Abstract Video
      • 12:50 Lunch Break 1h10'
      • 14:00 Poster Session 1h0'
      • 15:00 Bi-twistors or Ambitwistors? 1h0'
        Speaker: Sir Roger Penrose (Remote) (Emeritus Rouse Ball Professor of Mathematics at the University of Oxford)
        Material: Video
      • 16:10 Holomorphic tubular neighborhoods 1h0'
        Speaker: Valentino Tosatti (Remote) (New York University)
        Material: Abstract Video
  • Thursday, 28 May 2026
    • 08:30 - 16:20
      • 08:30 Bring-your-own coffee discussion 30'
      • 09:20 Geometry of Einstein metrics 1h0'
        Speaker: Song Sun (Zhejiang University)
        Material: Abstract Video
      • 10:30 Claude, the Ricci tensor and me 1h0'
        Speaker: Hans Joachim Hein (University of Münster)
        Material: Abstract
      • 11:30 Coffee Break 20'
      • 11:50 Extremal Kahler Metrics and Gravitational Instantons 1h0'
        Speaker: Paul Arthur Gauduchon (École Polytechnique)
        Material: Abstract Video
      • 12:50 Lunch Break 1h20'
      • 14:10 Extremal Sasaki Twins 1h0'
        Speaker: Christina Wiis Tønnesen-Friedman (Union College)
        Material: Abstract Video
      • 15:20 On the intrinsic geometry of horospheres in negative curvature 1h0'
        Speaker: Gerard Robert Besson (Institut Fourier, Université Grenoble Alpes)
        Material: Abstract Video
  • Friday, 29 May 2026
    • 08:30 - 13:00
      • 08:30 Bring-your-own coffee discussion 30'
      • 09:20 Curvature-homogeneous metrics in dimension 4 1h0'
        Speaker: Robert Bryant (Duke University)
        Material: Abstract Slides Video
      • 10:30 Fibrations on the 6-sphere and Clemens threefolds 1h0'
        Speaker: Jeffrey Viaclovsky (UC Irvine)
        Material: Abstract
      • 11:30 Coffee Break 20'
      • 11:50 Calabi-Yau locally conformally K¨ahler manifolds 1h0'
        Speaker: Alexandra Iulia Otiman (Aarhus University)
        Material: Abstract Video
      • 12:50 Closing Remarks 10'