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Category: List of Bases 2012 2012 ICTP Activities in Trieste ICTP Activities in Trieste
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lecture

Cosponsor(s):

European Science Foundation (ESF)

Start Time:

11 June 2012 at 08:30

Ends On:

29 June 2012

Location:

Trieste - Italy

Venue:

LB (Main Lecture Hall)

Organizer(s):

C. Arezzo (ICTP), F. Pacard, R. Schoen, Gang Tian

Description:

The Abdus Salam International Centre for Theoretical Physics (ICTP) is organizing a School and Conference on Geometric Analysis within the framework of the ICTP-ESF Series of High Level Conferences on Geometry and Dynamics. The activity will be held from 11 to 29 June 2012, in Trieste, Italy. It will be directed by C. Arezzo (ICTP, Trieste, Italy), F. Pacard (Ecole Polytechnique, Palaiseau, France), R. Schoen (Stanford University, USA) and G. Tian (Princeton University, USA & Peking University, P.R. China).

MAIN TOPICS

- EVOLUTION EQUATIONS ON REAL AND COMPLEX MANIFOLDS
- RIEMANNIAN GEOMETRY AND GENERAL RELATIVITY
- EXTREMAL KAEHLER METRICS

The first two weeks (11 - 22 June) will be an Advanced School with six mini-courses of high level on the main topics above given by the following lecturers:

S. Brendle (Stanford)
F. Pacard (Ecole Polytechnique)
T. Riviere (ETH)
R. Schoen (Stanford)
G. Tian (Princeton and Beijing)
P. Topping (Warwick)

The third week (25 - 29 June) will be an International Conference on Geometric Analysis . Its primary aim is to promote interaction among the leaders in Geometric Analysis and to introduce and discuss front-line research with young participants from all over the world.

The tentative list of speakers of the third week's Conference (24-29 June), includes: R. Berman, Jingyi Chen, J. Corvino, J. Fine, R. Gicquaud, V. Guedj, J. Isenberg, G. La Nave, C. Le Brun, Chi Li, Jiayu Li, A. Malchiodi, F. Marques, D. Pollack, Song Sun, J. Viaclovsky, Xiaohua Zhu.


PARTICIPATION
Mathematicians from all countries which are members of the United Nations, UNESCO or IAEA may attend the activity.

Scientific background on the area of the School and Conference is essential.

APPLICATION DEADLINE: 31 JANUARY 2012

HOW TO APPLY FOR PARTICIPATION

Applicants located in ESF member countries (link: http://www.esf.org/about-esf/what-is-the-european-science-foundation/78-member-organisations.html) or non-developing countries should apply at the "ESF Online Application".

All other applicants should apply at the "ICTP Online Application".


ACTIVITY SECRETARIAT:
The Abdus Salam International Centre for Theoretical Physics (ICTP)
(SMR 2345)
Strada Costiera 11
I-34151 Trieste, Italy

Telefax: +39-040-2240-7490 - E-mail: smr2345@ictp.it

Material:

Monday, 11 June 2012

Room: Leonardo da Vinci Building Main Lecture Hall

08:30
10:45
Registration and administrative formalities
02h15'
Room: Leonardo da Vinci Building, Lobby
10:45
11:00
Opening
15'
11:00
12:00
Applications of Hamilton's Compactness theorem (1)
01h00'
P.M. Topping
University of Warwick, U.K.
12:00
14:00
Lunch Break
02h00'
14:00
16:00
Introduction to Kähler Geometry (1)
02h00'
C. Arezzo
ICTP
16:00
16:30
Break
30'
16:30
18:30
Kähler Ricci flow and Einstein metrics (1)
02h00'
G. Tian
Princeton University & Peking University
Tuesday, 12 June 2012

Room: Leonardo da Vinci Building Main Lecture Hall

09:30
11:30
The analysis of Willmore surfaces (1)
02h00'
T. Riviere
ETH-Zentrum, Zürich, Switzerland
11:30
13:00
Lunch Break
01h30'
13:00
15:00
Introduction to Kähler Geometry (2)
02h00'
C. Arezzo
ICTP
15:00
15:30
Break
30'
15:30
16:30
Applications of Hamilton's Compactness Theorem (2)
01h00'
P.M. Topping
University of Warwick, U.K.
Wednesday, 13 June 2012

Room: Leonardo da Vinci Building Main Lecture Hall

09:00
10:00
Applications of Hamilton's Compactness Theorem (3)
01h00'
P.M. Topping
University of Warwick, U.K.
10:00
10:30
Break
30'
10:30
12:30
The analysis of Willmore surfaces (2)
02h00'
T. Riviere
ETH-Zentrum, Zürich, Switzerland
12:30
13:00
Lunch Break
30'
13:00
15:00
The Positive Mass Theorem (1)
02h00'
R. Schoen
Stanford University, USA
15:00
15:30
Break
30'
15:30
17:30
Kähler Ricci flow and Einstein metrics (2)
02h00'
G. Tian
Princeton University & Peking University
Thursday, 14 June 2012

Room: Leonardo da Vinci Building Main Lecture Hall

09:00
10:00
Applications of Hamilton's Compactness Theorem (4)
01h00'
P.M. Topping
University of Warwick, U.K.
10:00
10:30
Break
30'
10:30
12:30
The analysis of Willmore surfaces (3)
02h00'
T. Riviere
ETH-Zentrum, Zürich, Switzerland
12:30
13:30
Lunch Break
01h00'
13:30
15:30
Compact constant mean curvature surfaces and nonlinear PDE's (1)
02h00'
F. Pacard
École Polytechnique, Palaiseau, France
16:30
18:00
SPECIAL MATHEMATICS LECTURE

Calabi-Yau Manifolds with Hodge Numbers that are small and large
01h30'
P. Candelas
University of Oxford, U.K.
Friday, 15 June 2012

Room: Leonardo da Vinci Building Main Lecture Hall

09:00
10:00
Applications of Hamilton's Compactness Theorem (5)
01h00'
P.M. Topping
University of Warwick, U.K.
10:00
10:30
Break
30'
10:30
12:30
The Positive Mass Theorem (2)
02h00'
R. Schoen
Stanford University, USA
12:30
14:00
Lunch Break
01h30'
14:00
16:00
Compact constant mean curvature surfaces and nonlinear PDE's (2)
02h00'
F. Pacard
École Polytechnique, Palaiseau, France
Monday, 18 June 2012

Room: Leonardo da Vinci Building Main Lecture Hall

09:30
11:30
Compact constant mean curvature surfaces and nonlinear PDE's (3)
02h00'
F. Pacard
École Polytechnique, Palaiseau, France
11:30
13:00
Lunch Break
01h30'
13:00
15:00
Kähler Ricci flow and Einstein metrics (3)
02h00'
G. Tian
Princeton University & Peking University
15:00
15:30
Break
30'
15:30
17:30
The Positive Mass Theorem (3)
02h00'
R. Schoen
Stanford University, USA
Tuesday, 19 June 2012

Room: Leonardo da Vinci Building Main Lecture Hall

09:30
11:30
The Positive Mass Theorem (4)
02h00'
R. Schoen
Stanford University, USA
11:30
14:30
Lunch Break
03h00'
14:30
16:30
Ricci Flow, Sphere Theorems and Bryant Soliton (1)
02h00'
S. Brendle
Stanford University, USA
Wednesday, 20 June 2012

Room: Leonardo da Vinci Building Main Lecture Hall

09:30
11:30
Ricci Flow, Sphere Theorems and Bryant Soliton (2)
02h00'
S. Brendle
Stanford University, USA
11:30
14:30
Lunch Break
03h00'
14:30
16:30
The Positive Mass Theorem (5)
02h00'
R. Schoen
Stanford University, USA
Thursday, 21 June 2012

Room: Leonardo da Vinci Building Main Lecture Hall

09:30
11:30
Ricci Flow, Sphere Theorems and Bryant Soliton (3)
02h00'
S. Brendle
Stanford University, USA
11:30
14:30
Lunch Break
03h00'
14:30
16:30
Compact constant mean curvature surfaces and nonlinear PDE's (4)
02h00'
F. Pacard
École Polytechnique, Palaiseau, France
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
Canonical metrics on projective algebraic varieties. A variational approach to degenerate complex Monge-Ampere equations. Uniform a priori estimates.
03h00'
V. Guedj
Paul Sabatier University, Toulouse, France
13:00
16:00
Lunch Break
03h00'
16:00
17:00
Real-Monge-Ampere equations and Kähler-Ricci solitons on toric log Fano varieties
01h00'
R. Berman
Chalmers University, Gothenburg, Sweden
17:00
18:00
V-solitons and Kähler-Ricci flow on symplectic quotients
01h00'
G. La Nave
University of Illinois at Urbana Champaign, USA
Tuesday, 26 June 2012

Room: Leonardo da Vinci Building Main Lecture Hall

09:30
10:20
On the Wilmore Conjecture - "Overview"
50'
A. Neves
Imperial College, London, UK
10:30
11:20
On the Willmore Conjecture - "Canonical families"
50'
F.C. Marques
IMPA, Rio de Janeiro, Brazil
11:30
14:30
Lunch Break
03h00'
14:30
15:20
On the Wilmore Conjecture - "Min-max and Width"
50'
A. Neves
Imperial College, London, UK
15:30
16:20
On the Willmore Conjecture - "Proofs of Main Theorems"
50'
F.C. Marques
IMPA, Rio de Janeiro, Brazil
16:30
17:30
Compactness of $W^{2,2}$ branched conformal immersions of surfaces and applications
01h00'
J. Chen
University of British Columbia, Vancouver, Canada
Wednesday, 27 June 2012

Room: Leonardo da Vinci Building Main Lecture Hall

09:00
12:00
Hermitian Metrics, Einstein Manifolds, and Conformal Geometry
03h00'
C. LeBrun
SUNY at Stony Brook, USA
19:00
21:00
Reception
02h00'
Room: Adriatico Guest House (Terrace)
Thursday, 28 June 2012

Room: Leonardo da Vinci Building Main Lecture Hall

09:00
10:00
Perelman's entropy and Kähler-Ricci flow on a Fano manifold
01h00'
X. Zhu
Peking University, China
10:00
10:15
Break
15'
10:15
11:15
On the symplectic mean curvature flows
01h00'
J. Li
Academy of Mathematics & Systems Science, Beijing, China
11:30
12:30
Quantization and Mabuchi energy
01h00'
J. Fine
Université Libre de Bruxelles, Belgium
12:30
15:30
Lunch Break
03h00'
15:30
16:30
Variational analysis of singular Liouville equations
01h00'
A. Malchiodi
SISSA, Trieste, Italy
16:30
17:30
Structure of Gromov-Hausdorff limit of Kähler-Einstein manifolds
01h00'
S. Sun
Imperial College of Science and Technology, London, UK
Friday, 29 June 2012

Room: Leonardo da Vinci Building Main Lecture Hall

09:00
10:00
On the uniqueness of extremal Kähler metrics
01h00'
A. Della Vedova
Princeton University, USA
10:00
10:15
Break
15'
10:15
11:15
Deformation and gluing constructions for scalar curvature
01h00'
J. Corvino
Lafayette College, Easton. USA
11:30
12:30
Solutions of the constraint equations with non-constant mean curvature
01h00'
R. Gicquaud
Université de Tours, France
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