Description 

Advanced School and Workshop on Matrix Geometries and Applications  (smr 2470)
Go to day


08:30  10:45
Registration and Administrative Formalities.
Location: Leonardo da Vinci Building, Lobby 
08:30
Registration and Administrative Formalities.
2h15'

08:30
Registration and Administrative Formalities.
2h15'

10:45  11:00
Opening address

10:45
Opening address
15'

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)

11:00
Riemannian Geometry of the space of Positive Definite matrices and geometric means
1h0'

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

13:30
Geometry and Spectral Variation
1h0'

14:45  15:35
Adjacency preserving maps
Location: 
14:45
Adjacency preserving maps
50'
Speaker: Peter Semrl (University of Ljubljana, Slovenia) Material: lecture notes

14:45
Adjacency preserving maps
50'

16:00  16:50
Adjacency preserving maps
Location: 
16:00
Adjacency preserving maps
50'
Speaker: Peter Semrl (University of Ljubljana, Slovenia) Material: lecture notes

16:00
Adjacency preserving maps
50'

18:30  19:30
Gettogether Drink
Location: Leonardo da Vinci Building Terrace  18:30 Gettogether Drink 1h0'

08:30  10:45
Registration and Administrative Formalities.


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)

09:00
Riemannian Geometry of the space of Positive Definite matrices and geometric means
1h0'

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

10:15
Geometry and Spectral Variation
1h0'

11:30  12:30
Algebraic Geometry of Matrices
Location: 
11:30
Algebraic Geometry of Matrices
1h0'
Speaker: LekHeng Lim (University of Chicago, USA) Material: Slides

11:30
Algebraic Geometry of Matrices
1h0'

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

14:00
Adjacency preserving maps
1h0'

15:30  16:00
Tutorial on Adjacency preserving maps
Location: 
15:30
Tutorial on Adjacency preserving maps
30'
Speaker: Klemen Sivic (ETHZ, Zürich, Switzerland)

15:30
Tutorial on Adjacency preserving maps
30'

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)

16:00
Tutorial on Riemannian Geometry of the space of Positive Definite matrices and geometric means
30'

09:00  10:00
Riemannian Geometry of the space of Positive Definite matrices and geometric means


09:00  10:00
Algebraic Geometry of Matrices
Location: 
09:00
Algebraic Geometry of Matrices
1h0'
Speaker: LekHeng Lim (University of Chicago, USA) Material: slides

09:00
Algebraic Geometry of Matrices
1h0'

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

10:15
Computational issues of matrix geometric means
1h0'

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

11:30
Computational issues of matrix geometric means
1h0'

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)

14:00
Adjacency preserving maps
1h0'

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)

15:30
Tutorial on Algebraic Geometry of Matrices
30'

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)

16:00
Tutorial on Riemannian Geometry of the space of Positive Definite matrices and geometric means and Geometry and Spectral Variation
30'

09:00  10:00
Algebraic Geometry of Matrices


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)

08:30
Riemannian Geometry of the space of Positive Definite matrices and geometric means
50'

09:30  10:20
Algebraic Geometry of Matrices
Location: 
09:30
Algebraic Geometry of Matrices
50'
Speaker: LekHeng Lim (University of Chicago, USA) Material: slides

09:30
Algebraic Geometry of Matrices
50'

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

10:50
Computational issues of matrix geometric means
50'

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

11:50
Geometry of Structured Matrices based on Information, Koszul and Contact Geometries
50'

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)

15:00
Tutorial on Adjacency preserving maps
30'

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

15:30
Tutorial on Computational issues of matrix geometric means
30'

08:30  09:20
Riemannian Geometry of the space of Positive Definite matrices and geometric means


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)

09:00
Riemannian Geometry of the space of Positive Definite matrices and geometric means
1h0'

10:15  11:15
Algebraic Geometry of Matrices
Location: 
10:15
Algebraic Geometry of Matrices
1h0'
Speaker: LekHeng Lim (University of Chicago, USA) Material: slides

10:15
Algebraic Geometry of Matrices
1h0'

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

11:30
Computational issues of matrix geometric means
1h0'

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

14:00
Geometry of Structured Matrices based on Information, Koszul and Contact Geometries
1h0'

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)

15:30
Tutorials on Algebraic Geometry of Matrices
30'

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)

16:00
Tutorials on Computational issues of matrix geometric means and Riemannian Geometry of the space of Positive Definite matrices and geometric means.
30'

09:00  10:00
Riemannian Geometry of the space of Positive Definite matrices and geometric means


08:45  09:00
Opening of the Workshop
Location: 
08:45
Opening of the Workshop
15'

08:45
Opening of the Workshop
15'

09:00  10:00
Varieties of commuting matrices
Location: 
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)

15:30
Tutorials on Adjacency preserving maps
30'

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)

16:00
Tutorials on Riemannian Geometry of the space of Positive Definite matrices and geometric means
30'

08:45  09:00
Opening of the Workshop


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

09:00
Palindromic cyclic reduction and matrix functions
1h0'

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)

10:15
Least squares means of positive definite matrices
1h0'

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)

11:30
The geometric mean of matrices, further extensions
1h0'

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

14:00
Semigroups of operator means and generalized Karcher equations
1h0'

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)

15:30
Tutorials on Algebraic Geometry of Matrices
30'

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)

16:00
Tutorials on Computational issues of matrix geometric means
30'

09:00  10:00
Palindromic cyclic reduction and matrix functions


09:00  10:00
A Riemannian geometry and a geometric mean on the space of low rank positive semidefinite matrices
Location: 
09:00
A Riemannian geometry and a geometric mean on the space of low rank positive semidefinite matrices
1h0'
Speaker: Silvere Bonnabel (Ecole des Mines, Paris, France) Material: slides

09:00
A Riemannian geometry and a geometric mean on the space of low rank positive semidefinite matrices
1h0'

10:15  11:15
The decomposition of matrices
Location: 
10:15
The decomposition of matrices
1h0'
Speaker: Ke Ye (University of Chicago, USA)

10:15
The decomposition of matrices
1h0'

11:30  12:30
A geometric approach to the angular metrics and its connection with optimal paths in the unitary group
Location: 
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)

14:00
Some entropy inequalities in probability and matrix theory
1h0'

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)

15:30
Tutorials on Geometry and Spectral Variation
30'

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)

16:00
Tutorials on Riemannian Geometry of the space of Positive Definite matrices and geometric means
30'

09:00  10:00
A Riemannian geometry and a geometric mean on the space of low rank positive semidefinite matrices


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

09:00
Computational Geometry on Matrix Manifolds
1h0'

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)

10:15
Inertia of the matrix [(p_i + p_j)^r]
30'

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)

10:45
Isometric embeddings of Grassmanians
30'

11:30  12:30
Geometriclike means of structured matrices
Location: 
11:30
Geometriclike means of structured matrices
1h0'
Speaker: Bruno Iannazzo (Università di Perugia, Italy)

11:30
Geometriclike means of structured matrices
1h0'

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

14:00
The Metric Geometry of the Multivariable Matrix Geometric Mean
1h0'

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)

15:30
Tutorials on Computational issues of matrix geometric means
30'

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)

16:00
Tutorials on Algebraic Geometry of Matrices
30'

09:00  10:00
Computational Geometry on Matrix Manifolds


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

09:00
Isometries and isomorphisms of some spaces of matrices
1h0'

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

10:15
Matrix norm inequalities and their applications in matrix geometry
1h0'

11:30  12:30
Normal compressions
Location: 
11:30
Normal compressions
1h0'
Speaker: John Holbrook (University of Guelph, Canada) Material: slides

11:30
Normal compressions
1h0'

09:00  10:00
Isometries and isomorphisms of some spaces of matrices