School and Conference on Differential Geometry | (smr 1946) (02-20 June 2008)

Administration

Description

MAIN TOPICS

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

Material

poster

School and Conference on Differential Geometry | (smr 1946)

Go to day

Monday, 2 June 2008

08:30 - 10:30 REGISTRATION AND ADMINISTRATIVE FORMALITIES
- 08:30 REGISTRATION AND ADMINISTRATIVE FORMALITIES 2h0'
10:30 - 10:45 OPENING

Location: Leonardo da Vinci Building, Lobby
- 10:30 OPENING 15'
  
  Speaker: Le Dung Trang (Head, ICTP Math Group)
10:45 - 11:45 The Laplace operator in Riemannian geometry

Location: Leonardo da Vinci Building, Lobby
- 10:45 The Laplace operator in Riemannian geometry 1h0'
  
  Speaker: Juergen Jost (Max-Planck-Institute, Leipzig, Germany)
11:45 - 14:00 Lunch break

Location: Leonardo da Vinci Building, Lobby
- 11:45 Lunch break 2h15'

14:00 - 15:00 Almgren's $Q$ valued functions revisited

Location:

Leonardo da Vinci Building, Lobby

14:00 Almgren's $Q$ valued functions revisited 1h0'

Speaker:	Camillo De Lellis (University of Zurich, Zurich, Switzerland)
Material:	Handout

15:00 - 15:30 Break

Location: Leonardo da Vinci Building, Lobby
- 15:00 Break 30'
15:30 - 16:30 Allen-Cahn equation and De Giorgi conjecture

Location: Leonardo da Vinci Building, Lobby
- 15:30 Allen-Cahn equation and De Giorgi conjecture 1h0'
  
  Speaker: Changfeng Gui (University of Connecticut, Storrs CT, USA)

Tuesday, 3 June 2008
- 09:30 - 10:30 Almgren's $Q$ valued functions revisited
  - 09:30 Almgren's $Q$ valued functions revisited 1h0'
    
    Speaker: Camillo De Lellis (University of Zurich, Zurich, Switzerland)
- 10:30 - 10:45 Break
  - 10:30 Break 15'
- 10:45 - 11:45 The Laplace operator in Riemannian geometry
  - 10:45 The Laplace operator in Riemannian geometry 1h0'
    
    Speaker: Juergen Jost (Max-Planck-Institute, Leipzig, Germany)
- 11:45 - 14:00 Lunch break
  - 11:45 Lunch break 2h15'
- 14:00 - 15:00 Allen-Cahn equation and De Giorgi conjecture
  - 14:00 Allen-Cahn equation and De Giorgi conjecture 1h0'
    
    Speaker: Changfeng Gui (University of Connecticut, Storrs CT, USA)
- 15:00 - 15:30 Break
  - 15:00 Break 30'
- 15:30 - 16:30 Almgren's $Q$ valued functions revisited
  - 15:30 Almgren's $Q$ valued functions revisited 1h0'
    
    Speaker: Camillo De Lellis (University of Zurich, Zurich, Switzerland)
Wednesday, 4 June 2008
- 09:30 - 10:30 Allen-Cahn equation and De Giorgi conjecture
  - 09:30 Allen-Cahn equation and De Giorgi conjecture 1h0'
    
    Speaker: Changfeng Gui (University of Connecticut, Storrs CT, USA)
- 10:30 - 10:45 Break
  - 10:30 Break 15'
- 10:45 - 11:45 The Laplace operator in Riemannian geometry
  - 10:45 The Laplace operator in Riemannian geometry 1h0'
    
    Speaker: Juergen Jost (Max-Planck-Institute, Leipzig, Germany)
- 11:45 - 14:00 Lunch break
  - 11:45 Lunch break 2h15'
- 14:00 - 15:00 Almgren's $Q$ valued functions revisited
  - 14:00 Almgren's $Q$ valued functions revisited 1h0'
    
    Speaker: Camillo De Lellis (University of Zurich, Zurich, Switzerland)
- 15:00 - 15:30 Break
  - 15:00 Break 30'
- 15:30 - 16:30 Allen-Cahn equation and De Giorgi conjecture
  - 15:30 Allen-Cahn equation and De Giorgi conjecture 1h0'
    
    Speaker: Changfeng Gui (University of Connecticut, Storrs CT, USA)

Thursday, 5 June 2008

09:30 - 10:30 The Laplace operator in Riemannian geometry
- 09:30 The Laplace operator in Riemannian geometry 1h0'
  
  Speaker: Juergen Jost (Max-Planck-Institute, Leipzig, Germany)
10:30 - 10:45 Break
- 10:30 Break 15'
10:45 - 11:45 Allen-Cahn equation and De Giorgi conjecture
- 10:45 Allen-Cahn equation and De Giorgi conjecture 1h0'
  
  Speaker: Changfeng Gui (University of Connecticut, Storrs CT, USA)
11:45 - 14:00 Lunch break
- 11:45 Lunch break 2h15'

14:00 - 15:00 Analysis in weighted spaces and applications in geometry

14:00 Analysis in weighted spaces and applications in geometry 1h0'

Speaker:	Frank Pacard (Université Paris 12 Val-de-Marne, Créteil, France)
Material:	lecture notes

15:00 - 15:30 Break
- 15:00 Break 30'
15:30 - 16:30 Almgren's $Q$ valued functions revisited
- 15:30 Almgren's $Q$ valued functions revisited 1h0'
  
  Speaker: Camillo De Lellis (University of Zurich, Zurich, Switzerland)

Friday, 6 June 2008

09:30 - 10:30 On mean curvature flows

09:30 On mean curvature flows 1h0'

Speaker:	Jingyi Chen (University of British Columbia, Vancouver, Canada)
Material:	lecture notes

10:30 - 10:45 Break
- 10:30 Break 15'
10:45 - 11:45 On mean curvature flows
- 10:45 On mean curvature flows 1h0'
  
  Speaker: Jingyi Chen (University of British Columbia, Vancouver, Canada)
11:45 - 14:00 Lunch break
- 11:45 Lunch break 2h15'
14:00 - 15:00 Analysis in weighted spaces and applications in geometry
- 14:00 Analysis in weighted spaces and applications in geometry 1h0'
  
  Speaker: Frank Pacard (Université Paris 12 Val-de-Marne, Créteil, France)
15:00 - 15:30 Break
- 15:00 Break 30'
15:30 - 16:30 Analysis in weighted spaces and applications in geometry
- 15:30 Analysis in weighted spaces and applications in geometry 1h0'
  
  Speaker: Frank Pacard (Université Paris 12 Val-de-Marne, Créteil, France)

Monday, 9 June 2008
- 09:30 - 10:30 On mean curvature flows
  - 09:30 On mean curvature flows 1h0'
    
    Speaker: Jingyi Chen (University of British Columbia, Vancouver, Canada)
- 10:30 - 10:45 Break
  - 10:30 Break 15'
- 10:45 - 11:45 On mean curvature flows
  - 10:45 On mean curvature flows 1h0'
    
    Speaker: Jingyi Chen (University of British Columbia, Vancouver, Canada)
- 11:45 - 14:00 Lunch break
  - 11:45 Lunch break 2h15'
- 14:00 - 15:00 Analysis in weighted spaces and applications in geometry
  - 14:00 Analysis in weighted spaces and applications in geometry 1h0'
    
    Speaker: Frank Pacard (Université Paris 12 Val-de-Marne, Créteil, France)
- 15:00 - 15:30 Break
  - 15:00 Break 30'
- 15:30 - 16:30 Analysis in weighted spaces and applications in geometry
  - 15:30 Analysis in weighted spaces and applications in geometry 1h0'
    
    Speaker: Frank Pacard (Université Paris 12 Val-de-Marne, Créteil, France)
Tuesday, 10 June 2008
- 09:30 - 10:30 On mean curvature flows
  - 09:30 On mean curvature flows 1h0'
    
    Speaker: Jingyi Chen (University of British Columbia, Vancouver, Canada)
- 10:30 - 10:45 Break
  - 10:30 Break 15'
- 10:45 - 11:45 On mean curvature flows
  - 10:45 On mean curvature flows 1h0'
    
    Speaker: Jingyi Chen (University of British Columbia, Vancouver, Canada)
- 11:45 - 14:00 Lunch break
  - 11:45 Lunch break 2h15'
- 14:00 - 15:00 Analysis in weighted spaces and applications in geometry
  - 14:00 Analysis in weighted spaces and applications in geometry 1h0'
    
    Speaker: Frank Pacard (Université Paris 12 Val-de-Marne, Créteil, France)
- 15:00 - 15:30 Break
  - 15:00 Break 30'
- 15:30 - 16:30 Analysis in weighted spaces and applications in geometry
  - 15:30 Analysis in weighted spaces and applications in geometry 1h0'
    
    Speaker: Frank Pacard (Université Paris 12 Val-de-Marne, Créteil, France)
Wednesday, 11 June 2008
- 09:30 - 10:30 Special metrics on Kahler manifolds
  - 09:30 Special metrics on Kahler manifolds 1h0'
    
    Speaker: Claudio Arezzo (Università degli Studi di Parma, Parma, Italy)
- 10:30 - 10:45 Break
  - 10:30 Break 15'
- 10:45 - 11:45 Special metrics on Kahler manifolds
  - 10:45 Special metrics on Kahler manifolds 1h0'
    
    Speaker: Claudio Arezzo (Università degli Studi di Parma, Parma, Italy)
- 11:45 - 14:00 Lunch break
  - 11:45 Lunch break 2h15'
- 14:00 - 15:00 Anti-self-dual metrics and twistor theory
  - 14:00 Anti-self-dual metrics and twistor theory 1h0'
    
    Speaker: Jeff Viaclovsky (University of Wisconsin-Madison, Madison WI, USA)
- 15:00 - 15:30 Break
  - 15:00 Break 30'
- 15:30 - 16:30 Anti-self-dual metrics and twistor theory
  - 15:30 Anti-self-dual metrics and twistor theory 1h0'
    
    Speaker: Jeff Viaclovsky (University of Wisconsin-Madison, Madison WI, USA)
Thursday, 12 June 2008
- 09:30 - 10:30 Special Lagrangian equations
  - 09:30 Special Lagrangian equations 1h0'
    
    Speaker: Yu Yuan (University of Washington, Seattle WA, USA)
- 10:30 - 10:45 Break
  - 10:30 Break 15'
- 10:45 - 11:45 Special Lagrangian equations
  - 10:45 Special Lagrangian equations 1h0'
    
    Speaker: Yu Yuan (University of Washington, Seattle WA, USA)
- 11:45 - 14:00 Lunch break
  - 11:45 Lunch break 2h15'
- 14:00 - 15:00 Anti-self-dual metrics and twistor theory
  - 14:00 Anti-self-dual metrics and twistor theory 1h0'
    
    Speaker: Jeff Viaclovsky (University of Wisconsin-Madison, Madison WI, USA)
- 15:00 - 15:30 Break
  - 15:00 Break 30'
- 15:30 - 16:30 Anti-self-dual metrics and twistor theory
  - 15:30 Anti-self-dual metrics and twistor theory 1h0'
    
    Speaker: Jeff Viaclovsky (University of Wisconsin-Madison, Madison WI, USA)
- 18:30 - 21:30 "RECEPTION" AT ADRIATICO GUEST HOUSE CAFETERIA
  
  Location: Adriatico Guest House Cafeteria
  - 18:30 "RECEPTION" AT ADRIATICO GUEST HOUSE CAFETERIA 3h0'
Friday, 13 June 2008
- 09:30 - 10:30 Special Lagrangian equations
  - 09:30 Special Lagrangian equations 1h0'
    
    Speaker: Yu Yuan (University of Washington, Seattle WA, USA)
- 10:30 - 10:45 Break
  - 10:30 Break 15'
- 10:45 - 11:45 Special Lagrangian equations
  - 10:45 Special Lagrangian equations 1h0'
    
    Speaker: Yu Yuan (University of Washington, Seattle WA, USA)
- 11:45 - 14:00 Lunch break
  - 11:45 Lunch break 2h15'
- 14:00 - 15:00 Special metrics on Kahler manifolds
  - 14:00 Special metrics on Kahler manifolds 1h0'
    
    Speaker: Claudio Arezzo (Università degli Studi di Parma, Parma, Italy)
- 15:00 - 15:30 Break
  - 15:00 Break 30'
- 15:30 - 16:30 Special metrics on Kahler manifolds
  - 15:30 Special metrics on Kahler manifolds 1h0'
    
    Speaker: Claudio Arezzo (Università degli Studi di Parma, Parma, Italy)

Monday, 16 June 2008

09:30 - 10:30 Geometry of 4-dimensional special metrics
- 09:30 Geometry of 4-dimensional special metrics 1h0'
  
  Speaker: Gang Tian (Princeton University, Princeton NJ, USA)
10:30 - 11:00 Break
- 10:30 Break 30'

11:00 - 12:00 The Calabi-Yau equation on sympletic manifolds

11:00 The Calabi-Yau equation on sympletic manifolds 1h0'

Speaker:	Valentino Tosatti (Harvard University, Cambridge MA, USA)
Material:	abstract

12:00 - 14:00 Lunch break
- 12:00 Lunch break 2h0'
14:00 - 15:00 The Hodge conjecture for certain abelian four-folds: a Gauge-theoric approach
- 14:00 The Hodge conjecture for certain abelian four-folds: a Gauge-theoric approach 1h0'
  
  Speaker: Ramadas Ramakrishnan Trivandrum (ICTP, Trieste, Italy)
15:00 - 15:15 Break
- 15:00 Break 15'
15:15 - 16:15 Cross curvature flow on locally homogeneous three-manifolds
- 15:15 Cross curvature flow on locally homogeneous three-manifolds 1h0'
  
  Speaker: Xiaodong Cao (Cornell University, Ithaca NY, USA)
16:15 - 16:30 Coffee break
- 16:15 Coffee break 15'
16:30 - 17:30 On the global well-posedness of the one-dimensional Schrodinger map flow
- 16:30 On the global well-posedness of the one-dimensional Schrodinger map flow 1h0'
  
  Speaker: Yanir Rubinstein (Princeton University, Princeton NJ, USA)

Tuesday, 17 June 2008

09:30 - 10:30 Variational theory for the $Q$-curvature equation

09:30 Variational theory for the $Q$-curvature equation 1h0'

Speaker:	Andrea Malchiodi (SISSA, Trieste, Italy)
Material:	abstract

10:30 - 11:00 Coffee break
- 10:30 Coffee break 30'
11:00 - 12:00 Ramadanov conjecture and line bundles over compact symmetric spaces
- 11:00 Ramadanov conjecture and line bundles over compact symmetric spaces 1h0'
  
  Speaker: Miroslav Englis (Silesian University, Opava, Czech Republic)
12:00 - 14:00 Lunch break
- 12:00 Lunch break 2h0'
14:00 - 15:00 A microscopic convexity principle for geometric nonlinear equations
- 14:00 A microscopic convexity principle for geometric nonlinear equations 1h0'
  
  Speaker: Pengfei Guan (McGill University, Quebec, Canada)
15:00 - 15:15 Break
- 15:00 Break 15'
15:15 - 16:15 Isometric immersions of Kaehler-Einstein manifolds into complex space forms
- 15:15 Isometric immersions of Kaehler-Einstein manifolds into complex space forms 1h0'
  
  Speaker: Andrea Loi (Università di Cagliari, Cagliari, Italy)
16:15 - 16:30 Break
- 16:15 Break 15'
16:30 - 17:30 On the existence of Ricci-Flat Kaehler metrics
- 16:30 On the existence of Ricci-Flat Kaehler metrics 1h0'
  
  Speaker: Bianca Santoro (Duke University, Durham NC, USA)

Wednesday, 18 June 2008

09:30 - 10:30 Broken geodesics and injectivity radius

09:30 Broken geodesics and injectivity radius 1h0'

Speaker:	Xiaochun Rong (Rutgers University, New Brunswick NJ, USA)
Material:	abstract

10:30 - 11:00 Coffee break
- 10:30 Coffee break 30'

11:00 - 12:00 Analysis in complex geometry

11:00 Analysis in complex geometry 1h0'

Speaker:	Shing-Tung Yau (Harvard University, Cambridge MA, USA)
Material:	lecture notes

12:00 - 14:00 Lunch break
- 12:00 Lunch break 2h0'
14:00 - 17:00 FREE AFTERNOON
- 14:00 FREE AFTERNOON 3h0'

Thursday, 19 June 2008
- 09:30 - 10:30 K-stability of constant scalar curvature polarised manifolds
  - 09:30 K-stability of constant scalar curvature polarised manifolds 1h0'
    
    Speaker: Jacopo Stoppa (Università degli Studi di Pavia, Pavia, Italy)
- 10:30 - 11:00 Coffee break
  - 10:30 Coffee break 30'
- 11:00 - 12:00 On 2-scalar curvature
  - 11:00 On 2-scalar curvature 1h0'
    
    Speaker: Guofang Wang (Magdeburg University, Magdeburg, Germany)
- 12:00 - 14:00 Lunch break
  - 12:00 Lunch break 2h0'
- 14:00 - 15:00 Analytic Blaschke-Santalo inequalities
  - 14:00 Analytic Blaschke-Santalo inequalities 1h0'
    
    Speaker: Meijun Zhu (University of Oklahoma, Norman OK, USA)
- 15:00 - 15:15 Break
  - 15:00 Break 15'
- 15:15 - 16:15 Twisted Kaehler-Einstein metrics and Kaehler-Ricci flow
  - 15:15 Twisted Kaehler-Einstein metrics and Kaehler-Ricci flow 1h0'
    
    Speaker: Gabriele La Nave (Yeshiva University, New York NJ, USA)
- 16:15 - 16:30 Break
  - 16:15 Break 15'
- 16:30 - 17:30 Stability of geometric evolution equations
  - 16:30 Stability of geometric evolution equations 1h0'
    
    Speaker: Haozhao Li (Peking University, Beijing, China)

Friday, 20 June 2008

09:30 - 10:30 Symplectic Calabi-Yau manifolds and minimal surfaces
- 09:30 Symplectic Calabi-Yau manifolds and minimal surfaces 1h0'
  
  Speaker: Joel Fine (Université Libre de Bruxelles, Brussels, Belgium)
10:30 - 11:00 Coffee break
- 10:30 Coffee break 30'
11:00 - 12:00 Green's functions in conformal geometry
- 11:00 Green's functions in conformal geometry 1h0'
  
  Speaker: Jie Xiao (Memorial University of Newfoundland, Canada)
12:00 - 14:00 Lunch break
- 12:00 Lunch break 2h0'

14:00 - 15:00 Calibrated geometries

14:00 Calibrated geometries 1h0'

Speaker:	Sema Salur (University of Rochester, Rochester NY, USA)
Material:	abstract

15:00 - 15:15 Break
- 15:00 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)

15:15 Extremal Kaehler metrics and stability on a class of ruled manifolds (joint work with V. Apostolov, D. Calderbank and C.Toennessen) 1h0'

Speaker:	Paul Gauduchon (Centre de Mathématiques Laurent Schwartz, Palaiseau, France)
Material:	abstract