ESF Research Conferences

ESF-ICTP Conference 

Geometric Analysis

25 - 29 June 2012


Final Programme

The conference on Geometric Analysis took place from 25 to 29 June 2012. The primary aim of this International Conference on Geometric Analysis is to promote interaction among the leaders in Geometric Analysis (specially in the areas of Complex Geometry, Geometric Flows, Geometric problems in General Relativity, etc…) and to introduce and discuss front-line research with young participants from all over the world.

Main topics:

    •    Evolution equations on real and complex manifolds
    •    Riemannian geometry and general relativity
    •    Extremal Kaehler metrics

Monday, 25 June 2012

Room: Leonardo da Vinci Building Main Lecture Hall

08:30 - 10:00 REGISTRATION OF THE CONFERENCE PARTICIPANTS 01h30'

Room: Leonardo da Vinci Building, Lobby

10:00- 13:00 V. Guedj, Paul Sabatier University, Toulouse, France

Canonical metrics on projective algebraic varieties. A variational approach to degenerate complex Monge-Ampere equations. Uniform a priori estimates. 03h00'

13:00-16:00 Lunch Break 03h00'

16:00 - 17:00 R. Berman, Chalmers University, Gothenburg, Sweden

Real-Monge-Ampere equations and Kähler-Ricci solitons on toric log Fano varieties 01h00'  

17:00 - 18:00 G. La Nave, University of Illinois at Urbana Champaign, USA

V-solitons and Kähler-Ricci flow on symplectic quotients 01h00'  

Tuesday, 26 June 2012 

Room: Leonardo da Vinci Building Main Lecture Hall

09:30 - 10:20  A. Neves, Imperial College, London, UK 

On the Wilmore Conjecture - "Overview" 50'  

10:30 - 11:20 F.C. Marques, IMPA, Rio de Janeiro, Brazil

On the Willmore Conjecture - "Canonical families" 50'  

11:30 - 14:30 Lunch Break 03h00'

14:30 - 15:20 A. Neves, Imperial College, London, UK 

On the Wilmore Conjecture - "Min-max and Width" 50'

15:30 - 16:20 F.C. Marques, IMPA, Rio de Janeiro, Brazil

On the Willmore Conjecture - "Proofs of Main Theorems" 50'  

16:30 - 17:30 J. Chen, University of British Columbia, Vancouver, Canada 

Compactness of $W^{2,2}$ branched conformal immersions of surfaces and applications 01h00'

Wednesday, 27 June 2012 

Room: Leonardo da Vinci Building Main Lecture Hall

09:00 - 12:00  C. LeBrun, SUNY at Stony Brook, USA  

Hermitian Metrics, Einstein Manifolds, and Conformal Geometry 03h00'

19:00 - 21:00 Reception 02h00' Room: Adriatico Guest House (Terrace)

http://cdsagenda5.ictp.it/map.php?bno=Adriatico%20Guest%20House%20%28Terrace%29 Thursday, 28 June 2012

Room: Leonardo da Vinci Building Main Lecture Hall

09:00 - 10:00  X. Zhu, Peking University, China 

Perelman's entropy and Kähler-Ricci flow on a Fano manifold 01h00'  

10:00 - 10:15 Break 15'

10:15 - 11:15 J. Li, Academy of Mathematics & Systems Science, Beijing, ChinaOn the symplectic mean curvature flows 01h00'  

11:30 - 12:30 J. Fine, Université Libre de Bruxelles, Belgium

Quantization and Mabuchi energy 01h00'

12:30 - 15:30 Lunch Break 03h00'

15:30 - 16:30 A. Malchiodi, SISSA, Trieste, Italy

Variational analysis of singular Liouville equations 01h00'  

16:30 - 17:30 S. Sun, Imperial College of Science and Technology, London, UK

Structure of Gromov-Hausdorff limit of Kähler-Einstein manifolds 01h00'  

Friday, 29 June 2012 

Room: Leonardo da Vinci Building Main Lecture Hall

09:00 - 10:00 A. Della Vedova, Princeton University, USA

On the uniqueness of extremal Kähler metrics 01h00'  

10:00 - 10:15 Break 15'

10:15 - 11:15 J. Corvino, Lafayette College, Easton, USA

Deformation and gluing constructions for scalar curvature 01h00'  

11:30 - 12:30 R. Gicquaud, Université de Tours, France

Solutions of the constraint equations with non-constant mean curvature 01h00'