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Category: List of Bases 2008 2008 ICTP activities in Trieste ICTP activities in Trieste
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lecture

Start Time:

2 June 2008 at 08:30

Ends On:

20 June 2008

Location:

Trieste - Italy

Venue:

LB (Main Lecture Hall)

Organizer(s):

Directors: C. Arezzo, X. Chen, F. Pacard, G. Tian. Local Organizer: Li Jiayu

Description:

MAIN TOPICS

• HARMONIC FUNCTIONS, GEOMETRY AND TOPOLOGY
• SPECIAL LAGRANGIAN EQUATIONS
• ANALYSIS ON MANIFOLDS
• EXTREMAL KAEHLER METRICS
• RICCI FLOW
• MEAN CURVATURE FLOW

Material:

08:30
10:30
REGISTRATION AND ADMINISTRATIVE FORMALITIES
02h00'
10:30
10:45
OPENING
15'
Le Dung Trang
Head, ICTP Math Group
10:45
11:45
The Laplace operator in Riemannian geometry
01h00'
Juergen Jost
Max-Planck-Institute, Leipzig, Germany
11:45
14:00
Lunch break
02h15'
14:00
15:00
Almgren's $Q$ valued functions revisited
01h00'
Camillo De Lellis
University of Zurich, Zurich, Switzerland
15:00
15:30
Break
30'
15:30
16:30
Allen-Cahn equation and De Giorgi conjecture
01h00'
Changfeng Gui
University of Connecticut, Storrs CT, USA
09:30
10:30
Almgren's $Q$ valued functions revisited
01h00'
Camillo De Lellis
University of Zurich, Zurich, Switzerland
10:30
10:45
Break
15'
10:45
11:45
The Laplace operator in Riemannian geometry
01h00'
Juergen Jost
Max-Planck-Institute, Leipzig, Germany
11:45
14:00
Lunch break
02h15'
14:00
15:00
Allen-Cahn equation and De Giorgi conjecture
01h00'
Changfeng Gui
University of Connecticut, Storrs CT, USA
15:00
15:30
Break
30'
15:30
16:30
Almgren's $Q$ valued functions revisited
01h00'
Camillo De Lellis
University of Zurich, Zurich, Switzerland
09:30
10:30
Allen-Cahn equation and De Giorgi conjecture
01h00'
Changfeng Gui
University of Connecticut, Storrs CT, USA
10:30
10:45
Break
15'
10:45
11:45
The Laplace operator in Riemannian geometry
01h00'
Juergen Jost
Max-Planck-Institute, Leipzig, Germany
11:45
14:00
Lunch break
02h15'
14:00
15:00
Almgren's $Q$ valued functions revisited
01h00'
Camillo De Lellis
University of Zurich, Zurich, Switzerland
15:00
15:30
Break
30'
15:30
16:30
Allen-Cahn equation and De Giorgi conjecture
01h00'
Changfeng Gui
University of Connecticut, Storrs CT, USA
09:30
10:30
The Laplace operator in Riemannian geometry
01h00'
Juergen Jost
Max-Planck-Institute, Leipzig, Germany
10:30
10:45
Break
15'
10:45
11:45
Allen-Cahn equation and De Giorgi conjecture
01h00'
Changfeng Gui
University of Connecticut, Storrs CT, USA
11:45
14:00
Lunch break
02h15'
14:00
15:00
Analysis in weighted spaces and applications in geometry
01h00'
Frank Pacard
Université Paris 12 Val-de-Marne, Créteil, France
15:00
15:30
Break
30'
15:30
16:30
Almgren's $Q$ valued functions revisited
01h00'
Camillo De Lellis
University of Zurich, Zurich, Switzerland
09:30
10:30
On mean curvature flows
01h00'
Jingyi Chen
University of British Columbia, Vancouver, Canada
10:30
10:45
Break
15'
10:45
11:45
On mean curvature flows
01h00'
Jingyi Chen
University of British Columbia, Vancouver, Canada
11:45
14:00
Lunch break
02h15'
14:00
15:00
Analysis in weighted spaces and applications in geometry
01h00'
Frank Pacard
Université Paris 12 Val-de-Marne, Créteil, France
15:00
15:30
Break
30'
15:30
16:30
Analysis in weighted spaces and applications in geometry
01h00'
Frank Pacard
Université Paris 12 Val-de-Marne, Créteil, France
09:30
10:30
On mean curvature flows
01h00'
Jingyi Chen
University of British Columbia, Vancouver, Canada
10:30
10:45
Break
15'
10:45
11:45
On mean curvature flows
01h00'
Jingyi Chen
University of British Columbia, Vancouver, Canada
11:45
14:00
Lunch break
02h15'
14:00
15:00
Analysis in weighted spaces and applications in geometry
01h00'
Frank Pacard
Université Paris 12 Val-de-Marne, Créteil, France
15:00
15:30
Break
30'
15:30
16:30
Analysis in weighted spaces and applications in geometry
01h00'
Frank Pacard
Université Paris 12 Val-de-Marne, Créteil, France
09:30
10:30
On mean curvature flows
01h00'
Jingyi Chen
University of British Columbia, Vancouver, Canada
10:30
10:45
Break
15'
10:45
11:45
On mean curvature flows
01h00'
Jingyi Chen
University of British Columbia, Vancouver, Canada
11:45
14:00
Lunch break
02h15'
14:00
15:00
Analysis in weighted spaces and applications in geometry
01h00'
Frank Pacard
Université Paris 12 Val-de-Marne, Créteil, France
15:00
15:30
Break
30'
15:30
16:30
Analysis in weighted spaces and applications in geometry
01h00'
Frank Pacard
Université Paris 12 Val-de-Marne, Créteil, France
09:30
10:30
Special metrics on Kahler manifolds
01h00'
Claudio Arezzo
Università degli Studi di Parma, Parma, Italy
10:30
10:45
Break
15'
10:45
11:45
Special metrics on Kahler manifolds
01h00'
Claudio Arezzo
Università degli Studi di Parma, Parma, Italy
11:45
14:00
Lunch break
02h15'
14:00
15:00
Anti-self-dual metrics and twistor theory
01h00'
Jeff Viaclovsky
University of Wisconsin-Madison, Madison WI, USA
15:00
15:30
Break
30'
15:30
16:30
Anti-self-dual metrics and twistor theory
01h00'
Jeff Viaclovsky
University of Wisconsin-Madison, Madison WI, USA
09:30
10:30
Special Lagrangian equations
01h00'
Yu Yuan
University of Washington, Seattle WA, USA
10:30
10:45
Break
15'
10:45
11:45
Special Lagrangian equations
01h00'
Yu Yuan
University of Washington, Seattle WA, USA
11:45
14:00
Lunch break
02h15'
14:00
15:00
Anti-self-dual metrics and twistor theory
01h00'
Jeff Viaclovsky
University of Wisconsin-Madison, Madison WI, USA
15:00
15:30
Break
30'
15:30
16:30
Anti-self-dual metrics and twistor theory
01h00'
Jeff Viaclovsky
University of Wisconsin-Madison, Madison WI, USA
18:30
21:30
"RECEPTION" AT ADRIATICO GUEST HOUSE CAFETERIA
03h00'
09:30
10:30
Special Lagrangian equations
01h00'
Yu Yuan
University of Washington, Seattle WA, USA
10:30
10:45
Break
15'
10:45
11:45
Special Lagrangian equations
01h00'
Yu Yuan
University of Washington, Seattle WA, USA
11:45
14:00
Lunch break
02h15'
14:00
15:00
Special metrics on Kahler manifolds
01h00'
Claudio Arezzo
Università degli Studi di Parma, Parma, Italy
15:00
15:30
Break
30'
15:30
16:30
Special metrics on Kahler manifolds
01h00'
Claudio Arezzo
Università degli Studi di Parma, Parma, Italy
16 June 2008
09:30
10:30
Geometry of 4-dimensional special metrics
01h00'
Gang Tian
Princeton University, Princeton NJ, USA
10:30
11:00
Break
30'
11:00
12:00
The Calabi-Yau equation on sympletic manifolds
01h00'
Valentino Tosatti
Harvard University, Cambridge MA, USA
12:00
14:00
Lunch break
02h00'
14:00
15:00
The Hodge conjecture for certain abelian four-folds: a Gauge-theoric approach
01h00'
Ramadas Ramakrishnan Trivandrum
ICTP, Trieste, Italy
15:00
15:15
Break
15'
15:15
16:15
Cross curvature flow on locally homogeneous three-manifolds
01h00'
Xiaodong Cao
Cornell University, Ithaca NY, USA
16:15
16:30
Coffee break
15'
16:30
17:30
On the global well-posedness of the one-dimensional Schrodinger map flow
01h00'
Yanir Rubinstein
Princeton University, Princeton NJ, USA
09:30
10:30
Variational theory for the $Q$-curvature equation
01h00'
Andrea Malchiodi
SISSA, Trieste, Italy
10:30
11:00
Coffee break
30'
11:00
12:00
Ramadanov conjecture and line bundles over compact symmetric spaces
01h00'
Miroslav Englis
Silesian University, Opava, Czech Republic
12:00
14:00
Lunch break
02h00'
14:00
15:00
A microscopic convexity principle for geometric nonlinear equations
01h00'
Pengfei Guan
McGill University, Quebec, Canada
15:00
15:15
Break
15'
15:15
16:15
Isometric immersions of Kaehler-Einstein manifolds into complex space forms
01h00'
Andrea Loi
Università di Cagliari, Cagliari, Italy
16:15
16:30
Break
15'
16:30
17:30
On the existence of Ricci-Flat Kaehler metrics
01h00'
Bianca Santoro
Duke University, Durham NC, USA
09:30
10:30
Broken geodesics and injectivity radius
01h00'
Xiaochun Rong
Rutgers University, New Brunswick NJ, USA
10:30
11:00
Coffee break
30'
11:00
12:00
Analysis in complex geometry
01h00'
Shing-Tung Yau
Harvard University, Cambridge MA, USA
12:00
14:00
Lunch break
02h00'
14:00
17:00
FREE AFTERNOON
03h00'
09:30
10:30
K-stability of constant scalar curvature polarised manifolds
01h00'
Jacopo Stoppa
Università degli Studi di Pavia, Pavia, Italy
10:30
11:00
Coffee break
30'
11:00
12:00
On 2-scalar curvature
01h00'
Guofang Wang
Magdeburg University, Magdeburg, Germany
12:00
14:00
Lunch break
02h00'
14:00
15:00
Analytic Blaschke-Santalo inequalities
01h00'
Meijun Zhu
University of Oklahoma, Norman OK, USA
15:00
15:15
Break
15'
15:15
16:15
Twisted Kaehler-Einstein metrics and Kaehler-Ricci flow
01h00'
Gabriele La Nave
Yeshiva University, New York NJ, USA
16:15
16:30
Break
15'
16:30
17:30
Stability of geometric evolution equations
01h00'
Haozhao Li
Peking University, Beijing, China
09:30
10:30
Symplectic Calabi-Yau manifolds and minimal surfaces
01h00'
Joel Fine
Université Libre de Bruxelles, Brussels, Belgium
10:30
11:00
Coffee break
30'
11:00
12:00
Green's functions in conformal geometry
01h00'
Jie Xiao
Memorial University of Newfoundland, Canada
12:00
14:00
Lunch break
02h00'
14:00
15:00
Calibrated geometries
01h00'
Sema Salur
University of Rochester, Rochester NY, USA
15:00
15:15
Break
15'
15:15
16:15
Extremal Kaehler metrics and stability on a class of ruled manifolds (joint work with V. Apostolov, D. Calderbank and C.Toennessen)
01h00'
Paul Gauduchon
Centre de Mathématiques Laurent Schwartz, Palaiseau, France
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