| Description |  | 
ICTP-ESF School and Conference on Geometric Analysis | (smr 2345)
    Go to day
    
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            08:30 - 10:45
        
        
        
            Registration and administrative formalities
        
        
    
    Location: Leonardo da Vinci Building, Lobby - 08:30 Registration and administrative formalities 2h15'
 
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            10:45 - 11:00
        
        
        
            Opening
        
        
    
    - 10:45 Opening 15'
 
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            11:00 - 12:00
        
        
        
            Applications of Hamilton's Compactness theorem (1)
        
        
    
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        11:00
    
    
        Applications of Hamilton's Compactness theorem (1)
            1h0'        
    
    Speaker: P.M. Topping (University of Warwick, U.K.) 
 
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        11:00
    
    
        Applications of Hamilton's Compactness theorem (1)
            1h0'        
    
    
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            12:00 - 14:00
        
        
        
            Lunch Break
        
        
    
    - 12:00 Lunch Break 2h0'
 
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            14:00 - 16:00
        
        
        
            Introduction to Kähler Geometry (1)
        
        
    
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        14:00
    
    
        Introduction to Kähler Geometry (1)
            2h0'        
    
    Speaker: C. Arezzo (ICTP) 
 
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        14:00
    
    
        Introduction to Kähler Geometry (1)
            2h0'        
    
    
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            16:00 - 16:30
        
        
        
            Break
        
        
    
    - 16:00 Break 30'
 
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            16:30 - 18:30
        
        
        
            Kähler Ricci flow and Einstein metrics (1)
        
        
    
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        16:30
    
    
        Kähler Ricci flow and Einstein metrics (1)
            2h0'        
    
    Speaker: G. Tian (Princeton University & Peking University) 
 
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        16:30
    
    
        Kähler Ricci flow and Einstein metrics (1)
            2h0'        
    
    
 
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            08:30 - 10:45
        
        
        
            Registration and administrative formalities
        
        
    
    
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                - 
    
        
        
        
            09:30 - 11:30
        
        
        
            The analysis of Willmore surfaces (1)
        
        
    
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        09:30
    
    
        The analysis of Willmore surfaces (1)
            2h0'        
    
    Speaker: T. Riviere (ETH-Zentrum, Zürich, Switzerland) Material:  lecture notes lecture notes
 
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        09:30
    
    
        The analysis of Willmore surfaces (1)
            2h0'        
    
    
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            11:30 - 13:00
        
        
        
            Lunch Break
        
        
    
    - 11:30 Lunch Break 1h30'
 
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            13:00 - 15:00
        
        
        
            Introduction to Kähler Geometry (2)
        
        
    
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        13:00
    
    
        Introduction to Kähler Geometry (2)
            2h0'        
    
    Speaker: C. Arezzo (ICTP) 
 
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        13:00
    
    
        Introduction to Kähler Geometry (2)
            2h0'        
    
    
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            15:00 - 15:30
        
        
        
            Break
        
        
    
    - 15:00 Break 30'
 
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            15:30 - 16:30
        
        
        
            Applications of Hamilton's Compactness Theorem (2)
        
        
    
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        15:30
    
    
        Applications of Hamilton's Compactness Theorem (2)
            1h0'        
    
    Speaker: P.M. Topping (University of Warwick, U.K.) 
 
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        15:30
    
    
        Applications of Hamilton's Compactness Theorem (2)
            1h0'        
    
    
 
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            09:30 - 11:30
        
        
        
            The analysis of Willmore surfaces (1)
        
        
    
    
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            09:00 - 10:00
        
        
        
            Applications of Hamilton's Compactness Theorem (3)
        
        
    
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        09:00
    
    
        Applications of Hamilton's Compactness Theorem (3)
            1h0'        
    
    Speaker: P.M. Topping (University of Warwick, U.K.) 
 
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        09:00
    
    
        Applications of Hamilton's Compactness Theorem (3)
            1h0'        
    
    
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            10:00 - 10:30
        
        
        
            Break
        
        
    
    - 10:00 Break 30'
 
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            10:30 - 12:30
        
        
        
            The analysis of Willmore surfaces (2)
        
        
    
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        10:30
    
    
        The analysis of Willmore surfaces (2)
            2h0'        
    
    Speaker: T. Riviere (ETH-Zentrum, Zürich, Switzerland) Material:  lecture notes lecture notes
 
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        10:30
    
    
        The analysis of Willmore surfaces (2)
            2h0'        
    
    
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            12:30 - 13:00
        
        
        
            Lunch Break
        
        
    
    - 12:30 Lunch Break 30'
 
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            13:00 - 15:00
        
        
        
            The Positive Mass Theorem (1)
        
        
    
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        13:00
    
    
        The Positive Mass Theorem (1)
            2h0'        
    
    Speaker: R. Schoen (Stanford University, USA) Material:  lecture notes lecture notes
 
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        13:00
    
    
        The Positive Mass Theorem (1)
            2h0'        
    
    
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            15:00 - 15:30
        
        
        
            Break
        
        
    
    - 15:00 Break 30'
 
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            15:30 - 17:30
        
        
        
            Kähler Ricci flow and Einstein metrics (2)
        
        
    
    - 
        
    
        15:30
    
    
        Kähler Ricci flow and Einstein metrics (2)
            2h0'        
    
    Speaker: G. Tian (Princeton University & Peking University) 
 
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        15:30
    
    
        Kähler Ricci flow and Einstein metrics (2)
            2h0'        
    
    
 
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            09:00 - 10:00
        
        
        
            Applications of Hamilton's Compactness Theorem (3)
        
        
    
    
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            09:00 - 10:00
        
        
        
            Applications of Hamilton's Compactness Theorem (4)
        
        
    
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        09:00
    
    
        Applications of Hamilton's Compactness Theorem (4)
            1h0'        
    
    Speaker: P.M. Topping (University of Warwick, U.K.) 
 
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        09:00
    
    
        Applications of Hamilton's Compactness Theorem (4)
            1h0'        
    
    
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            10:00 - 10:30
        
        
        
            Break
        
        
    
    - 10:00 Break 30'
 
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            10:30 - 12:30
        
        
        
            The analysis of Willmore surfaces (3)
        
        
    
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        10:30
    
    
        The analysis of Willmore surfaces (3)
            2h0'        
    
    Speaker: T. Riviere (ETH-Zentrum, Zürich, Switzerland) Material:  lecture notes lecture notes
 
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        10:30
    
    
        The analysis of Willmore surfaces (3)
            2h0'        
    
    
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            12:30 - 13:30
        
        
        
            Lunch Break
        
        
    
    - 12:30 Lunch Break 1h0'
 
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            13:30 - 15:30
        
        
        
            Compact constant mean curvature surfaces and nonlinear PDE's (1)
        
        
    
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        13:30
    
    
        Compact constant mean curvature surfaces and nonlinear PDE's (1)
            2h0'        
    
    Speaker: F. Pacard (École Polytechnique, Palaiseau, France) 
 
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        13:30
    
    
        Compact constant mean curvature surfaces and nonlinear PDE's (1)
            2h0'        
    
    
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            16:30 - 18:00
        
        
        
            Calabi-Yau Manifolds with Hodge Numbers that are small and large
        
        
    
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        16:30
    
    
        Calabi-Yau Manifolds with Hodge Numbers that are small and large
            1h30'        
    
    Speaker: P. Candelas (University of Oxford, U.K.) 
 
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        16:30
    
    
        Calabi-Yau Manifolds with Hodge Numbers that are small and large
            1h30'        
    
    
 
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            09:00 - 10:00
        
        
        
            Applications of Hamilton's Compactness Theorem (4)
        
        
    
    
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            09:00 - 10:00
        
        
        
            Applications of Hamilton's Compactness Theorem (5)
        
        
    
    - 
        
    
        09:00
    
    
        Applications of Hamilton's Compactness Theorem (5)
            1h0'        
    
    Speaker: P.M. Topping (University of Warwick, U.K.) 
 
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        09:00
    
    
        Applications of Hamilton's Compactness Theorem (5)
            1h0'        
    
    
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            10:00 - 10:30
        
        
        
            Break
        
        
    
    - 10:00 Break 30'
 
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            10:30 - 12:30
        
        
        
            The Positive Mass Theorem (2)
        
        
    
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        10:30
    
    
        The Positive Mass Theorem (2)
            2h0'        
    
    Speaker: R. Schoen (Stanford University, USA) Material:  lecture notes lecture notes
 
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        10:30
    
    
        The Positive Mass Theorem (2)
            2h0'        
    
    
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            12:30 - 14:00
        
        
        
            Lunch Break
        
        
    
    - 12:30 Lunch Break 1h30'
 
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            14:00 - 16:00
        
        
        
            Compact constant mean curvature surfaces and nonlinear PDE's (2)
        
        
    
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        14:00
    
    
        Compact constant mean curvature surfaces and nonlinear PDE's (2)
            2h0'        
    
    Speaker: F. Pacard (École Polytechnique, Palaiseau, France) 
 
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        14:00
    
    
        Compact constant mean curvature surfaces and nonlinear PDE's (2)
            2h0'        
    
    
 
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            09:00 - 10:00
        
        
        
            Applications of Hamilton's Compactness Theorem (5)
        
        
    
    
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                - 
    
        
        
        
            09:30 - 11:30
        
        
        
            Compact constant mean curvature surfaces and nonlinear PDE's (3)
        
        
    
    - 
        
    
        09:30
    
    
        Compact constant mean curvature surfaces and nonlinear PDE's (3)
            2h0'        
    
    Speaker: F. Pacard (École Polytechnique, Palaiseau, France) 
 
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        09:30
    
    
        Compact constant mean curvature surfaces and nonlinear PDE's (3)
            2h0'        
    
    
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            11:30 - 13:00
        
        
        
            Lunch Break
        
        
    
    - 11:30 Lunch Break 1h30'
 
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            13:00 - 15:00
        
        
        
            Kähler Ricci flow and Einstein metrics (3)
        
        
    
    - 
        
    
        13:00
    
    
        Kähler Ricci flow and Einstein metrics (3)
            2h0'        
    
    Speaker: G. Tian (Princeton University & Peking University) 
 
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        13:00
    
    
        Kähler Ricci flow and Einstein metrics (3)
            2h0'        
    
    
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            15:00 - 15:30
        
        
        
            Break
        
        
    
    - 15:00 Break 30'
 
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            15:30 - 17:30
        
        
        
            The Positive Mass Theorem (3)
        
        
    
    - 
        
    
        15:30
    
    
        The Positive Mass Theorem (3)
            2h0'        
    
    Speaker: R. Schoen (Stanford University, USA) Material:  lecture notes lecture notes
 
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        15:30
    
    
        The Positive Mass Theorem (3)
            2h0'        
    
    
 
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            09:30 - 11:30
        
        
        
            Compact constant mean curvature surfaces and nonlinear PDE's (3)
        
        
    
    
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                - 
    
        
        
        
            09:30 - 11:30
        
        
        
            The Positive Mass Theorem (4)
        
        
    
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        09:30
    
    
        The Positive Mass Theorem (4)
            2h0'        
    
    Speaker: R. Schoen (Stanford University, USA) Material:  lecture notes lecture notes
 
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        09:30
    
    
        The Positive Mass Theorem (4)
            2h0'        
    
    
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            11:30 - 14:30
        
        
        
            Lunch Break
        
        
    
    - 11:30 Lunch Break 3h0'
 
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            14:30 - 16:30
        
        
        
            Ricci Flow, Sphere Theorems and Bryant Soliton (1)
        
        
    
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        14:30
    
    
        Ricci Flow, Sphere Theorems and Bryant Soliton (1)
            2h0'        
    
    Speaker: S. Brendle (Stanford University, USA) 
 
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        14:30
    
    
        Ricci Flow, Sphere Theorems and Bryant Soliton (1)
            2h0'        
    
    
 
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            09:30 - 11:30
        
        
        
            The Positive Mass Theorem (4)
        
        
    
    
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            09:30 - 11:30
        
        
        
            Ricci Flow, Sphere Theorems and Bryant Soliton (2)
        
        
    
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        09:30
    
    
        Ricci Flow, Sphere Theorems and Bryant Soliton (2)
            2h0'        
    
    Speaker: S. Brendle (Stanford University, USA) 
 
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        09:30
    
    
        Ricci Flow, Sphere Theorems and Bryant Soliton (2)
            2h0'        
    
    
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            11:30 - 14:30
        
        
        
            Lunch Break
        
        
    
    - 11:30 Lunch Break 3h0'
 
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            14:30 - 16:30
        
        
        
            The Positive Mass Theorem (5)
        
        
    
    - 
        
    
        14:30
    
    
        The Positive Mass Theorem (5)
            2h0'        
    
    Speaker: R. Schoen (Stanford University, USA) Material:  lecture notes lecture notes
 
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        14:30
    
    
        The Positive Mass Theorem (5)
            2h0'        
    
    
 
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            09:30 - 11:30
        
        
        
            Ricci Flow, Sphere Theorems and Bryant Soliton (2)
        
        
    
    
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            09:30 - 11:30
        
        
        
            Ricci Flow, Sphere Theorems and Bryant Soliton (3)
        
        
    
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        09:30
    
    
        Ricci Flow, Sphere Theorems and Bryant Soliton (3)
            2h0'        
    
    Speaker: S. Brendle (Stanford University, USA) 
 
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        09:30
    
    
        Ricci Flow, Sphere Theorems and Bryant Soliton (3)
            2h0'        
    
    
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            11:30 - 14:30
        
        
        
            Lunch Break
        
        
    
    - 11:30 Lunch Break 3h0'
 
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            14:30 - 16:30
        
        
        
            Compact constant mean curvature surfaces and nonlinear PDE's (4)
        
        
    
    - 
        
    
        14:30
    
    
        Compact constant mean curvature surfaces and nonlinear PDE's (4)
            2h0'        
    
    Speaker: F. Pacard (École Polytechnique, Palaiseau, France) 
 
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        14:30
    
    
        Compact constant mean curvature surfaces and nonlinear PDE's (4)
            2h0'        
    
    
 
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            09:30 - 11:30
        
        
        
            Ricci Flow, Sphere Theorems and Bryant Soliton (3)
        
        
    
    
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            08:30 - 10:00
        
        
        
            REGISTRATION OF THE CONFERENCE PARTICIPANTS
        
        
    
    Location: Leonardo da Vinci Building, Lobby - 08:30 REGISTRATION OF THE CONFERENCE PARTICIPANTS 1h30'
 
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            10:00 - 13:00
        
        
        
            Canonical metrics on projective algebraic varieties. A variational approach to degenerate complex Monge-Ampere equations. Uniform a priori estimates.
        
        
    
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        10:00
    
    
        Canonical metrics on projective algebraic varieties. A variational approach to degenerate complex Monge-Ampere equations. Uniform a priori estimates.
            3h0'        
    
    Speaker: V. Guedj (Paul Sabatier University, Toulouse, France) Material:  lecture notes lecture notes
 
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        10:00
    
    
        Canonical metrics on projective algebraic varieties. A variational approach to degenerate complex Monge-Ampere equations. Uniform a priori estimates.
            3h0'        
    
    
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            13:00 - 16:00
        
        
        
            Lunch Break
        
        
    
    - 13:00 Lunch Break 3h0'
 
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            16:00 - 17:00
        
        
        
            Real-Monge-Ampere equations and Kähler-Ricci solitons on toric log Fano varieties
        
        
    
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        16:00
    
    
        Real-Monge-Ampere equations and Kähler-Ricci solitons on toric log Fano varieties
            1h0'        
    
    Speaker: R. Berman (Chalmers University, Gothenburg, Sweden) 
 
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        16:00
    
    
        Real-Monge-Ampere equations and Kähler-Ricci solitons on toric log Fano varieties
            1h0'        
    
    
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            17:00 - 18:00
        
        
        
            V-solitons and Kähler-Ricci flow on symplectic quotients
        
        
    
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        17:00
    
    
        V-solitons and Kähler-Ricci flow on symplectic quotients
            1h0'        
    
    Speaker: G. La Nave (University of Illinois at Urbana Champaign, USA) 
 
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        17:00
    
    
        V-solitons and Kähler-Ricci flow on symplectic quotients
            1h0'        
    
    
 
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            08:30 - 10:00
        
        
        
            REGISTRATION OF THE CONFERENCE PARTICIPANTS
        
        
    
    
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            09:30 - 10:20
        
        
        
            On the Wilmore Conjecture - "Overview"
        
        
    
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        09:30
    
    
        On the Wilmore Conjecture - "Overview"
            50'        
    
    Speaker: A. Neves (Imperial College, London, UK) 
 
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        09:30
    
    
        On the Wilmore Conjecture - "Overview"
            50'        
    
    
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            10:30 - 11:20
        
        
        
            On the Willmore Conjecture - "Canonical families"
        
        
    
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        10:30
    
    
        On the Willmore Conjecture - "Canonical families"
            50'        
    
    Speaker: F.C. Marques (IMPA, Rio de Janeiro, Brazil) 
 
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        10:30
    
    
        On the Willmore Conjecture - "Canonical families"
            50'        
    
    
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            11:30 - 14:30
        
        
        
            Lunch Break
        
        
    
    - 11:30 Lunch Break 3h0'
 
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            14:30 - 15:20
        
        
        
            On the Wilmore Conjecture - "Min-max and Width"
        
        
    
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        14:30
    
    
        On the Wilmore Conjecture - "Min-max and Width"
            50'        
    
    Speaker: A. Neves (Imperial College, London, UK) 
 
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        14:30
    
    
        On the Wilmore Conjecture - "Min-max and Width"
            50'        
    
    
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            15:30 - 16:20
        
        
        
            On the Willmore Conjecture - "Proofs of Main Theorems"
        
        
    
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        15:30
    
    
        On the Willmore Conjecture - "Proofs of Main Theorems"
            50'        
    
    Speaker: F.C. Marques (IMPA, Rio de Janeiro, Brazil) 
 
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        15:30
    
    
        On the Willmore Conjecture - "Proofs of Main Theorems"
            50'        
    
    
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            16:30 - 17:30
        
        
        
            Compactness of $W^{2,2}$ branched conformal immersions of surfaces and applications
        
        
    
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        16:30
    
    
        Compactness of $W^{2,2}$ branched conformal immersions of surfaces and applications
            1h0'        
    
    Speaker: J. Chen (University of British Columbia, Vancouver, Canada) 
 
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        16:30
    
    
        Compactness of $W^{2,2}$ branched conformal immersions of surfaces and applications
            1h0'        
    
    
 
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            09:30 - 10:20
        
        
        
            On the Wilmore Conjecture - "Overview"
        
        
    
    
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            09:00 - 12:00
        
        
        
            Hermitian Metrics, Einstein Manifolds, and Conformal Geometry
        
        
    
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        09:00
    
    
        Hermitian Metrics, Einstein Manifolds, and Conformal Geometry
            3h0'        
    
    Speaker: C. LeBrun (SUNY at Stony Brook, USA) Material:  slides slides
 
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        09:00
    
    
        Hermitian Metrics, Einstein Manifolds, and Conformal Geometry
            3h0'        
    
    
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            19:00 - 21:00
        
        
        
            Reception
        
        
    
    Location: Adriatico Guest House (Terrace) - 19:00 Reception 2h0'
 
 
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            09:00 - 12:00
        
        
        
            Hermitian Metrics, Einstein Manifolds, and Conformal Geometry
        
        
    
    
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            09:00 - 10:00
        
        
        
            Perelman's entropy and Kähler-Ricci flow on a Fano manifold
        
        
    
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        09:00
    
    
        Perelman's entropy and Kähler-Ricci flow on a Fano manifold
            1h0'        
    
    Speaker: X. Zhu (Peking University, China) 
 
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        09:00
    
    
        Perelman's entropy and Kähler-Ricci flow on a Fano manifold
            1h0'        
    
    
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            10:00 - 10:15
        
        
        
            Break
        
        
    
    - 10:00 Break 15'
 
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            10:15 - 11:15
        
        
        
            On the symplectic mean curvature flows
        
        
    
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        10:15
    
    
        On the symplectic mean curvature flows
            1h0'        
    
    Speaker: J. Li (Academy of Mathematics & Systems Science, Beijing, China) 
 
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        10:15
    
    
        On the symplectic mean curvature flows
            1h0'        
    
    
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            11:30 - 12:30
        
        
        
            Quantization and Mabuchi energy
        
        
    
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        11:30
    
    
        Quantization and Mabuchi energy
            1h0'        
    
    Speaker: J. Fine (Université Libre de Bruxelles, Belgium) Material:  slides slides
 
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        11:30
    
    
        Quantization and Mabuchi energy
            1h0'        
    
    
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            12:30 - 15:30
        
        
        
            Lunch Break
        
        
    
    - 12:30 Lunch Break 3h0'
 
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            15:30 - 16:30
        
        
        
            Variational analysis of singular Liouville equations
        
        
    
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        15:30
    
    
        Variational analysis of singular Liouville equations
            1h0'        
    
    Speaker: A. Malchiodi (SISSA, Trieste, Italy) 
 
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        15:30
    
    
        Variational analysis of singular Liouville equations
            1h0'        
    
    
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            16:30 - 17:30
        
        
        
            Structure of Gromov-Hausdorff limit of Kähler-Einstein manifolds
        
        
    
    - 
        
    
        16:30
    
    
        Structure of Gromov-Hausdorff limit of Kähler-Einstein manifolds
            1h0'        
    
    Speaker: S. Sun (Imperial College of Science and Technology, London, UK) 
 
- 
        
    
        16:30
    
    
        Structure of Gromov-Hausdorff limit of Kähler-Einstein manifolds
            1h0'        
    
    
 
- 
    
        
        
        
            09:00 - 10:00
        
        
        
            Perelman's entropy and Kähler-Ricci flow on a Fano manifold
        
        
    
    
- 
                
                - 
    
        
        
        
            09:00 - 10:00
        
        
        
            On the uniqueness of extremal Kähler metrics
        
        
    
    - 
        
    
        09:00
    
    
        On the uniqueness of extremal Kähler metrics
            1h0'        
    
    Speaker: A. Della Vedova (Princeton University, USA) 
 
- 
        
    
        09:00
    
    
        On the uniqueness of extremal Kähler metrics
            1h0'        
    
    
- 
    
        
        
        
            10:00 - 10:15
        
        
        
            Break
        
        
    
    - 10:00 Break 15'
 
- 
    
        
        
        
            10:15 - 11:15
        
        
        
            Deformation and gluing constructions for scalar curvature
        
        
    
    - 
        
    
        10:15
    
    
        Deformation and gluing constructions for scalar curvature
            1h0'        
    
    Speaker: J. Corvino (Lafayette College, Easton. USA) 
 
- 
        
    
        10:15
    
    
        Deformation and gluing constructions for scalar curvature
            1h0'        
    
    
- 
    
        
        
        
            11:30 - 12:30
        
        
        
            Solutions of the constraint equations with non-constant mean curvature
        
        
    
    - 
        
    
        11:30
    
    
        Solutions of the constraint equations with non-constant mean curvature
            1h0'        
    
    Speaker: R. Gicquaud (Université de Tours, France) 
 
- 
        
    
        11:30
    
    
        Solutions of the constraint equations with non-constant mean curvature
            1h0'        
    
    
 
- 
    
        
        
        
            09:00 - 10:00
        
        
        
            On the uniqueness of extremal Kähler metrics
        
        
    
    
 Final List of Participants
    
    
        
        Final List of Participants