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Material

Advanced School and Workshop on Matrix Geometries and Applications | (smr 2470)
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  • Monday, 1 July 2013
    • 08:30 - 10:45 Registration and Administrative Formalities.
      Location: Leonardo da Vinci Building, Lobby
      • 08:30 Registration and Administrative Formalities. 2h15'
    • 10:45 - 11:00 Opening address
      • 10:45 Opening address 15'
    • 11:00 - 12:00 Riemannian Geometry of the space of Positive Definite matrices and geometric means
      Location:
      • 11:00 Riemannian Geometry of the space of Positive Definite matrices and geometric means 1h0'
        Speaker: Rajendra Bhatia (Indian Statistical Institute, New Delhi)
    • 12:00 - 13:30 Lunch Break
      Location:
      • 12:00 Lunch Break 1h30'
    • 13:30 - 14:30 Geometry and Spectral Variation
      • 13:30 Geometry and Spectral Variation 1h0'
        Speaker: John Holbrook (University of Guelph, Canada)
        Material: lecture notes
    • 14:45 - 15:35 Adjacency preserving maps
      Location:
      • 14:45 Adjacency preserving maps 50'
        Speaker: Peter Semrl (University of Ljubljana, Slovenia)
        Material: lecture notes
    • 16:00 - 16:50 Adjacency preserving maps
      Location:
      • 16:00 Adjacency preserving maps 50'
        Speaker: Peter Semrl (University of Ljubljana, Slovenia)
        Material: lecture notes
    • 18:30 - 19:30 Get-together Drink
      Location: Leonardo da Vinci Building Terrace
      • 18:30 Get-together Drink 1h0'
  • Tuesday, 2 July 2013
    • 09:00 - 10:00 Riemannian Geometry of the space of Positive Definite matrices and geometric means
      Location:
      • 09:00 Riemannian Geometry of the space of Positive Definite matrices and geometric means 1h0'
        Speaker: Rajendra Bhatia (Indian Statistical Institute, New Delhi)
    • 10:15 - 11:15 Geometry and Spectral Variation
      Location:
      • 10:15 Geometry and Spectral Variation 1h0'
        Speaker: John Holbrook (University of Guelph, Canada)
        Material: lecture notes
    • 11:30 - 12:30 Algebraic Geometry of Matrices
      Location:
      • 11:30 Algebraic Geometry of Matrices 1h0'
        Speaker: Lek-Heng Lim (University of Chicago, USA)
        Material: Slides
    • 12:30 - 14:00 Lunch Break
      Location:
      • 12:30 Lunch Break 1h30'
    • 14:00 - 15:00 Adjacency preserving maps
      • 14:00 Adjacency preserving maps 1h0'
        Speaker: Peter Semrl (University of Ljubljana, Slovenia)
        Material: lecture notes
    • 15:30 - 16:00 Tutorial on Adjacency preserving maps
      Location:
      • 15:30 Tutorial on Adjacency preserving maps 30'
        Speaker: Klemen Sivic (ETHZ, Zürich, Switzerland)
    • 16:00 - 16:30 Tutorial on Riemannian Geometry of the space of Positive Definite matrices and geometric means
      Location:
      • 16:00 Tutorial on Riemannian Geometry of the space of Positive Definite matrices and geometric means 30'
        Speaker: Miklos Palfia (Sungkyunkwan University, Suwon, Republic of Korea)
  • Wednesday, 3 July 2013
    • 09:00 - 10:00 Algebraic Geometry of Matrices
      Location:
      • 09:00 Algebraic Geometry of Matrices 1h0'
        Speaker: Lek-Heng Lim (University of Chicago, USA)
        Material: slides
    • 10:15 - 11:15 Computational issues of matrix geometric means
      Location:
      • 10:15 Computational issues of matrix geometric means 1h0'
        Speaker: Dario Bini (Università di Pisa, Italy)
        Material: lecture notes
    • 11:30 - 12:30 Computational issues of matrix geometric means
      Location:
      • 11:30 Computational issues of matrix geometric means 1h0'
        Speaker: Dario Bini (Università di Pisa, Italy)
        Material: lecture notes
    • 12:30 - 14:00 Lunch Break
      Location:
      • 12:30 Lunch Break 1h30'
    • 14:00 - 15:00 Adjacency preserving maps
      • 14:00 Adjacency preserving maps 1h0'
        Speaker: Peter Semrl (University of Ljubljana, Slovenia)
    • 15:30 - 16:00 Tutorial on Algebraic Geometry of Matrices
      Location:
      • 15:30 Tutorial on Algebraic Geometry of Matrices 30'
        Speaker: Ke Ye (University of Chicago, USA)
    • 16:00 - 16:30 Tutorial on Riemannian Geometry of the space of Positive Definite matrices and geometric means and Geometry and Spectral Variation
      Location:
      • 16:00 Tutorial on Riemannian Geometry of the space of Positive Definite matrices and geometric means and Geometry and Spectral Variation 30'
        Speaker: Tanvi Jain (ISI, New Delhi, India)
  • Thursday, 4 July 2013
    • 08:30 - 09:20 Riemannian Geometry of the space of Positive Definite matrices and geometric means
      Location:
      • 08:30 Riemannian Geometry of the space of Positive Definite matrices and geometric means 50'
        Speaker: Rajendra Bhatia (Indian Statistical Institute, New Delhi)
    • 09:30 - 10:20 Algebraic Geometry of Matrices
      Location:
      • 09:30 Algebraic Geometry of Matrices 50'
        Speaker: Lek-Heng Lim (University of Chicago, USA)
        Material: slides
    • 10:50 - 11:40 Computational issues of matrix geometric means
      Location:
      • 10:50 Computational issues of matrix geometric means 50'
        Speaker: Dario Bini (Università di Pisa, Italy)
        Material: lecture notes
    • 11:50 - 12:40 Geometry of Structured Matrices based on Information, Koszul and Contact Geometries
      Location:
      • 11:50 Geometry of Structured Matrices based on Information, Koszul and Contact Geometries 50'
        Speaker: Frederic Barbaresco (Thales Land and Air Systems, Limours, France)
        Material: lecture notes slides
    • 12:40 - 14:00 Lunch Break
      Location:
      • 12:40 Lunch Break 1h20'
    • 15:00 - 15:30 Tutorial on Adjacency preserving maps
      Location: Adriatico Guest House Denardo Lecture Hall
      • 15:00 Tutorial on Adjacency preserving maps 30'
        Speaker: Klemen Sivic (ETHZ, Zurich, Switzerland)
    • 15:30 - 16:00 Tutorial on Computational issues of matrix geometric means
      Location: Adriatico Guest House Denardo Lecture Hall
      • 15:30 Tutorial on Computational issues of matrix geometric means 30'
        Speaker: Bruno Iannazzo (Università di Perugia, Italy)
        Material: Exercises
  • Friday, 5 July 2013
    • 09:00 - 10:00 Riemannian Geometry of the space of Positive Definite matrices and geometric means
      Location:
      • 09:00 Riemannian Geometry of the space of Positive Definite matrices and geometric means 1h0'
        Speaker: Rajendra Bhatia (Indian Statistical Institute, New Delhi)
    • 10:15 - 11:15 Algebraic Geometry of Matrices
      Location:
      • 10:15 Algebraic Geometry of Matrices 1h0'
        Speaker: Lek-Heng Lim (University of Chicago, USA)
        Material: slides
    • 11:30 - 12:30 Computational issues of matrix geometric means
      Location:
      • 11:30 Computational issues of matrix geometric means 1h0'
        Speaker: Dario Bini (Università di Pisa, Italy)
        Material: lecture notes
    • 12:30 - 14:00 Lunch Break
      Location:
      • 12:30 Lunch Break 1h30'
    • 14:00 - 15:00 Geometry of Structured Matrices based on Information, Koszul and Contact Geometries
      Location:
      • 14:00 Geometry of Structured Matrices based on Information, Koszul and Contact Geometries 1h0'
        Speaker: Frederic Barbaresco (Thales Land and Air Systems, Limours, France)
        Material: lecture notes slides
    • 15:30 - 16:00 Tutorials on Algebraic Geometry of Matrices
      Location:
      • 15:30 Tutorials on Algebraic Geometry of Matrices 30'
        Speaker: Ke Ye (University of Chicago, USA)
    • 16:00 - 16:30 Tutorials on Computational issues of matrix geometric means and Riemannian Geometry of the space of Positive Definite matrices and geometric means.
      Location:
      • 16:00 Tutorials on Computational issues of matrix geometric means and Riemannian Geometry of the space of Positive Definite matrices and geometric means. 30'
        Speaker: Bruno Iannazzo (Università di Perugia, Italy)
  • Monday, 8 July 2013
    • 08:45 - 09:00 Opening of the Workshop
      Location:
      • 08:45 Opening of the Workshop 15'
    • 09:00 - 10:00 Varieties of commuting matrices
      Location:
      • 09:00 Varieties of commuting matrices 1h0'
        Speaker: Klemen Sivic (ETH-Zürich, Switzerland)
        Material: abstract slides
    • 11:00 - 12:00 2012 ICTP Prize Award Talk: Role of helicity in turbulent flows
      Location:
      • 11:00 2012 ICTP Prize Award Talk: Role of helicity in turbulent flows 1h0'
    • 15:30 - 16:00 Tutorials on Adjacency preserving maps
      • 15:30 Tutorials on Adjacency preserving maps 30'
        Speaker: Klemen Sivic (ETHZ, Zürich, Switzerland)
    • 16:00 - 16:30 Tutorials on Riemannian Geometry of the space of Positive Definite matrices and geometric means
      Location:
      • 16:00 Tutorials on Riemannian Geometry of the space of Positive Definite matrices and geometric means 30'
        Speaker: Miklos Palfia and Tanvi Jain (Budapest University and ISI, New Delhi)
  • Tuesday, 9 July 2013
    • 09:00 - 10:00 Palindromic cyclic reduction and matrix functions
      Location:
      • 09:00 Palindromic cyclic reduction and matrix functions 1h0'
        Speaker: Beatrice Meini (Università di Pisa, Italy)
        Material: slides
    • 10:15 - 11:15 Least squares means of positive definite matrices
      Location:
      • 10:15 Least squares means of positive definite matrices 1h0'
        Speaker: Yongdo Lim (Sungkyunkwan University, Suwon, Republic of Korea)
    • 11:30 - 12:30 The geometric mean of matrices, further extensions
      Location:
      • 11:30 The geometric mean of matrices, further extensions 1h0'
        Speaker: Maher Moakher (ENIT, Tunis, Tunisia)
    • 12:30 - 14:00 Lunch Break
      Location:
      • 12:30 Lunch Break 1h30'
    • 14:00 - 15:00 Semigroups of operator means and generalized Karcher equations
      • 14:00 Semigroups of operator means and generalized Karcher equations 1h0'
        Speaker: Miklos Palfia (Budapest University, Hungary)
        Material: slides
    • 15:30 - 16:00 Tutorials on Algebraic Geometry of Matrices
      Location:
      • 15:30 Tutorials on Algebraic Geometry of Matrices 30'
        Speaker: Ke Ye (University of Chicago, USA)
    • 16:00 - 16:30 Tutorials on Computational issues of matrix geometric means
      Location:
      • 16:00 Tutorials on Computational issues of matrix geometric means 30'
        Speaker: Bruno Iannazzo (Università di Perugia, Italy)
  • Wednesday, 10 July 2013
    • 09:00 - 10:00 A Riemannian geometry and a geometric mean on the space of low rank positive semi-definite matrices
      Location:
      • 09:00 A Riemannian geometry and a geometric mean on the space of low rank positive semi-definite matrices 1h0'
        Speaker: Silvere Bonnabel (Ecole des Mines, Paris, France)
        Material: slides
    • 10:15 - 11:15 The decomposition of matrices
      Location:
      • 10:15 The decomposition of matrices 1h0'
        Speaker: Ke Ye (University of Chicago, USA)
    • 11:30 - 12:30 A geometric approach to the angular metrics and its connection with optimal paths in the unitary group
      Location:
      • 11:30 A geometric approach to the angular metrics and its connection with optimal paths in the unitary group 1h0'
        Speaker: Jorge Antezana (AIM, Buenos Aires, Argentina)
        Material: abstract slides
    • 12:30 - 14:00 Lunch Break
      Location:
      • 12:30 Lunch Break 1h30'
    • 14:00 - 15:00 Some entropy inequalities in probability and matrix theory
      • 14:00 Some entropy inequalities in probability and matrix theory 1h0'
        Speaker: Denes Petz (Budapest University of Technology and Economics, Hungary)
    • 15:30 - 16:00 Tutorials on Geometry and Spectral Variation
      Location:
      • 15:30 Tutorials on Geometry and Spectral Variation 30'
        Speaker: John Holbrook and Tanvi Jain (University of Guelph, Canada, and ISI, New Delhi, India)
    • 16:00 - 16:30 Tutorials on Riemannian Geometry of the space of Positive Definite matrices and geometric means
      Location:
      • 16:00 Tutorials on Riemannian Geometry of the space of Positive Definite matrices and geometric means 30'
        Speaker: Miklos Palfia (Budapest University, Hungary)
  • Thursday, 11 July 2013
    • 09:00 - 10:00 Computational Geometry on Matrix Manifolds
      Location:
      • 09:00 Computational Geometry on Matrix Manifolds 1h0'
        Speaker: Frank Nielsen (Sony Computer Science Laboratories, Tokyo, Japan)
        Material: slides
    • 10:15 - 10:45 Inertia of the matrix [(p_i + p_j)^r]
      Location:
      • 10:15 Inertia of the matrix [(p_i + p_j)^r] 30'
        Speaker: Tanvi JAIN (ISI, New Delhi, India)
    • 10:45 - 11:15 Isometric embeddings of Grassmanians
      • 10:45 Isometric embeddings of Grassmanians 30'
        Speaker: Mark Pankov (University of Warmia and Mazuri, Olsztyn, Poland)
    • 11:30 - 12:30 Geometric-like means of structured matrices
      Location:
      • 11:30 Geometric-like means of structured matrices 1h0'
        Speaker: Bruno Iannazzo (Università di Perugia, Italy)
    • 12:30 - 14:00 Lunch Break
      Location:
      • 12:30 Lunch Break 1h30'
    • 14:00 - 15:00 The Metric Geometry of the Multivariable Matrix Geometric Mean
      • 14:00 The Metric Geometry of the Multivariable Matrix Geometric Mean 1h0'
        Speaker: Jimmie Lawson (Louisiana State University, Baton Rouge, USA)
        Material: slides
    • 15:30 - 16:00 Tutorials on Computational issues of matrix geometric means
      Location:
      • 15:30 Tutorials on Computational issues of matrix geometric means 30'
        Speaker: Bruno Iannazzo (Università di Perugia, Italy)
    • 16:00 - 16:30 Tutorials on Algebraic Geometry of Matrices
      Location:
      • 16:00 Tutorials on Algebraic Geometry of Matrices 30'
        Speaker: Ke Ye (University of Chicago, USA)
  • Friday, 12 July 2013
    • 09:00 - 10:00 Isometries and isomorphisms of some spaces of matrices
      Location:
      • 09:00 Isometries and isomorphisms of some spaces of matrices 1h0'
        Speaker: Lajos Molnar (University of Debrecen, Hungary)
        Material: slides
    • 10:15 - 11:15 Matrix norm inequalities and their applications in matrix geometry
      Location:
      • 10:15 Matrix norm inequalities and their applications in matrix geometry 1h0'
        Speaker: Gabriel A. Larotonda (CONICET, Buenos Aires, Argentina)
        Material: slides
    • 11:30 - 12:30 Normal compressions
      Location:
      • 11:30 Normal compressions 1h0'
        Speaker: John Holbrook (University of Guelph, Canada)
        Material: slides
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