## International Summer Schools in Global Analysis and Applications

**17th International Summer School on Global Analysis and Applications****Location:**August 17 ^{th}— August 22^{nd}, 2012, Levoca, Slovakia**Organized by:**University of Presov, Slovakia; Union of Czech Mathematicians and Physicists (Branch Brno), Czech Republic; Lepage Research Institute, Czech Republic; Juraj Pales Institute, Catholic University in Ruzomberok, Slovakia **Lectures:**- Dmitry Zenkov (North Carolina State University, USA)

Donghua Shi (Beijing Institute of Technology, China)*Geometric Mechanics and Control* - Demeter Krupka (Beijing Institute of Technology, China; University of Ostrava, Czech Republic)
*Introduction to Global Variational Geometry*

- Dmitry Zenkov (North Carolina State University, USA)

**16th International Summer School on Global Analysis and Applications****Location:**August 8 ^{th}— August 12^{th}, 2011, Brno, Czech Republic**Organized by:**Lepage Research Institute, Czech Republic, The University of Ostrava, Czech Republic, in co-operation with the Union of Czech Mathematicians and Physicists, Branch Olomouc. **Lectures:**- Serge Preston (Portland State University, USA)
*Introduction to Noncommuting Variations: Geometry and Applications in Physics* - Demeter Krupka (Masaryk University, Brno, Czech Republic)
*Variational Structure of Field Theory and General Relativity*

- Serge Preston (Portland State University, USA)

**15th International Summer School on Global Analysis and Applications****Location:**August 23 ^{th}— August 27^{th}, 2010, Sloup, Czech Republic**Organized by:**Lepage Research Institute, Czech Republic, The University of Ostrava, Czech Republic, in co-operation with the Union of Czech Mathematicians and Physicists, Branch Olomouc. **Lectures:**- Donghua Shi (Beijing Institute of Technology, Beijing, China)
*Geometric Mechanics, Constraints, Applications* - Olga Krupkova (Department of Mathematics, The University of Ostrava, Ostrava, Czech Republic)
*Geometric Mechanics, Constraints, Applications* - Demeter Krupka (Institute of Theoretical Physics and Astrophysics, Masaryk University, Brno, Czech Republic)
*Differential Invariants and Applications*

- Donghua Shi (Beijing Institute of Technology, Beijing, China)

**14th International Summer School on Global Analysis and Mathematical Physics****Location:**August 10th ^{th}— August 14^{th}, 2009, Olomouc, Czech Republic**Organized by:**Palacky University, Olomouc, Czech Republic, in co-operation with the Union of Czech Mathematicians and Physicists, Branch Olomouc. **Lectures:**- Mark J. Gotay (Pacific Institute for the Mathematical Sciences, University of British Columbia, Vancouver, Canada)
*Multimomentum Maps and Classical Field Theory* - Yvette Kosmann-Schwarzbach (Centre de Mathématiques Laurent Schwartz, Ecole Polytechnique, Palaiseau, France)
*The Noether Theorems: From Noether to Ševera*

- Mark J. Gotay (Pacific Institute for the Mathematical Sciences, University of British Columbia, Vancouver, Canada)

**13th International Summer School on Global Analysis and Applications****Location:**June 23 ^{rd}— June 27^{th}, 2008, Levoča, Slovakia**Organized by:**Palacký University, Olomouc, Czech Republic, in co-operation with the Union of Czech Mathematicians and Physicists, Branch Olomouc. **Lectures:**- Prof. George Bluman (University of British Columbia, Vancouver, Canada)
*Some Recent Developments in Symmetries and Conservation Laws for Partial Differential Equations* - Prof. Geoff Prince (La Trobe University, Melbourne, Australia)
*The Inverse Problem in the Calculus of Variations and the Geometry of Second Order ODEs*

- Prof. George Bluman (University of British Columbia, Vancouver, Canada)

**12th International Summer School in Global Analysis and Applications***Satellite Conference of the 10*^{th}International Conference on Differential Geometry and Its Applications, In honour of the 300th anniversary of the birth of Leonhard Euler, Olomouc, August 27—31, 2007**Location:**August 20 ^{th}— August 24^{th}, 2007, Bratislava, Slovakia**Organized by:**Palacký University, Olomouc, Czech Republic and Comenius University, Bratislava, Slovakia. **Lectures:**- Prof. Peter Olver (School of Mathematics, University of Minnesota, USA)
*Moving Frames in Applications* - Prof. Demeter Krupka (Palacký University, Olomouc, Czech Republic)
*Variational Analysis on Manifolds*

- Prof. Peter Olver (School of Mathematics, University of Minnesota, USA)

**11th International Summer School in Global Analysis and Applications***Satellite Conference of the International Congress of Mathematicians, Madrid, August 22—30, 2006***Location:**July 30 ^{th}- August 5^{th}, 2006, Spišská Stará Ves, Slovakia**Organized by:**Department of Algebra and Geometry, Palacký University, Olomouc, Czech Republic and Department of Mathematics, University of Prešov, Prešov, Slovakia, in co-operation with the Union of Czech Mathematicians and Physicists, branch Olomouc. **Lectures:**- Prof. János Szenthe (Faculty of Science, Eötvös Loránd University, Budapest, Hungary)
*Riemannian Geometry and Spherically Symmetric Solutions of the Einstein Equations* - Prof. Raffaele Vitolo (Dipartimento di Matematica, Universita' di Lecce, Lecce, Italy)
*Some cohomological aspects of the calculus of variations on finite order jets of submanifolds*

- Prof. János Szenthe (Faculty of Science, Eötvös Loránd University, Budapest, Hungary)

**10th International Summer School in Global Analysis and Applications***Variational Sequences***Location:**September 25 ^{th}- October 1^{st}, 2005, Levoča, Slovakia**Organized by:**Department of Algebra and Geometry, Palacký University, Olomouc, Czech Republic and Department of Mathematics, University of Prešov, Prešov, Slovakia, in co-operation with the Union of Czech Mathematicians and Physicists, branch Olomouc. **Lectures:**- Prof. David J. Saunders (Faculty of Mathematics and Computing, The Open University, Walton Hall, England)
*Homogeneous Variational Systems and Variational Sequences* - Prof. Demeter Krupka (Faculty of Science, Palacký University, Czech Republic)
*Variational Sequences*

- Prof. David J. Saunders (Faculty of Mathematics and Computing, The Open University, Walton Hall, England)

**9th International Summer School in Global Analysis and Applications***Part1 - Introduction to Finsler Geometry,**Part2 - Differential Geometry and the Foundations of General Relativity***Location:**August 24 ^{th}- August 28^{th}, 2004, Olomouc, Czech Republic**Organized by:**Department of Algebra and Geometry, Palacký University, Olomouc, Czech Republic, in co-operation with the Union of Czech Mathematicians and Physicists, branch Olomouc. **Lectures:**- Prof. Lajos Tamássy (Institute of Mathematics and Informatics, University of Debrecen, H-4010 Debrecen, P.O.Box12, Hungary)
*Introduction to Finsler Geometry* - Prof. Graham Hall (Department of Mathematical Sciences, Meston Building University of Aberdeen, Aberdeen AB24 3UE, Scotland, UK)
*Differential Geometry and the Foundations of General Relativity*

- Prof. Lajos Tamássy (Institute of Mathematics and Informatics, University of Debrecen, H-4010 Debrecen, P.O.Box12, Hungary)

**8th International Summer School in Global Analysis and Applications***Geometrical Structures in the Calculus of Variations***Location:**August 4 ^{th}- August 8^{th}, 2003, Brno, Czech Republic**Organized by:**Masaryk University in Brno, Czech Republic, in co-operation with Union of Czech Mathematician and Physicists, branch Brno. **Lectures:**- Prof. Olga Krupková (Faculty of Science, Palacký University, Olomouc, Czech Republic)
*Lagrangian and Hamiltonian Structures* - Prof. David J. Saunders (Faculty of Mathematics and Computing, The Open University, Walton Hall, England)
*Jets, Frames and Variations*

- Prof. Olga Krupková (Faculty of Science, Palacký University, Olomouc, Czech Republic)

**7th International Summer School in Global Analysis and Applications***Geometrical Structures in the Calculus of Variations***Location:**August 19 ^{th}- August 23^{rd}, 2002, Prešov, Slovakia**Organized by:**Masaryk University in Brno and Department of Mathematics, University of Prešov, Prešov, Slovakia, in co-operation with Union of Slovak Mathematician and Physicists, branch Prešov. **Lectures:**- Prof. Olga Krupková (Faculty of Science, Palacký University, Olomouc, Czech Republic)
*Lagrangian and Hamiltonian Structures* - Prof. David J. Saunders (Faculty of Mathematics and Computing, The Open University, Walton Hall, England)
*Jets, Frames and Variations*

- Prof. Olga Krupková (Faculty of Science, Palacký University, Olomouc, Czech Republic)

**6th International Summer School in Global Analysis and Applications***Satellite Conference of the 8th International Conference on Differential Geometry and Its Applications, Opava, August 27—31, 2001**Variational Sequences and Bicomplexes***Location:**August 20 ^{th}- August 24^{th}, 2001, Opava, Czech Republic**Organized by:**Mathematical Institute of the Silesian University in Opava, Czech Republic **Lectures:**- Prof. Ian M. Anderson (Department of Mathematics and Statistics, Utah State University, Logan, Utah 84 322, USA)
*Group Invariant Solutions to Differential Equations and Reduction of Variational Bicomplexes* - Prof. Demeter Krupka (Mathematical Institute, Silesian University at Opava, Bezručovo nám. 13, 74601 Opava, Czech Republic)
*Introduction to Variational Sequences* - Prof. Alexander Verbovetsky (Diffiety Institute, Independent University of Moscow, Bolshoi Vlasevsky Pereulok, Dom 11, Moscow, Russia)
*Geometric Aspects of Conservation Laws of Nonlinear Differential Equations*

- Prof. Ian M. Anderson (Department of Mathematics and Statistics, Utah State University, Logan, Utah 84 322, USA)

**5th International Summer School in Global Analysis and Applications***Mathematical structure of General Relativity***Location:**August 14 ^{th}- August 19^{th}, 2000, Levoča, Slovakia**Organized by:**Open Education & Sciences, Opava, Czech republic **Lectures:**- Prof. Jerzy Kijowski (Center for Theoretical Physics, Polish Academy of Sciences, Aleja Lotnikow 32/46, 02-668 Warsaw, Poland)
*Introduction to Canonical Gravity* - Prof. Piotr T. Chrusciel (Departement de Mathematiques, Faculte des Sciences, Parc de Grandmont, F 37200 Tours, France)
*Introduction to Lorentzian Geometry in the Large*

- Prof. Jerzy Kijowski (Center for Theoretical Physics, Polish Academy of Sciences, Aleja Lotnikow 32/46, 02-668 Warsaw, Poland)

**4th International Summer School in Global Analysis and Applications***Natural Variational Principles***Location:**August 15 ^{th}- August 19^{th}, 1999, Levoča, Slovakia**Organized by:**Open Education & Sciences, Opava, Czech republic **Lectures:**- Prof. Demeter Krupka (Mathematical Institute, Silesian University at Opava, Bezručovo nám. 13, 74601 Opava, Czech Republic)
*Differential Invariants* - Prof. Jan Novotný (Department of Physics, Masaryk University, Kotlářská 2, 61137 Brno, Czech Republic)
*Natural Variational Principles in Physics*

- Prof. Demeter Krupka (Mathematical Institute, Silesian University at Opava, Bezručovo nám. 13, 74601 Opava, Czech Republic)

**3rd International Summer School in Global Analysis and Applications***Part 1 - Natural Variational Principles,**Part 2 - Homological Methods in Equations of Mathematical Physics***Location:**August 17 ^{th}- August 21^{st}, 1998, Levoča, Slovakia**Organized by:**Open Education & Sciences, Opava, Czech republic **Lectures:**- Prof. Demeter Krupka (Mathematical Institute, Silesian University at Opava, Bezručovo nám. 13, 74601 Opava, Czech Republic)
*Differential Invariants* - Prof. Jan Novotný (Department of Physics, Masaryk University, Kotlářská 2, 61137 Brno, Czech Republic)
*Natural Variational Principles in Physics* - Prof. Joseph Krasilshchik (Moscow Institute for Municipal Economy and the Diffiety Institute of the Russian Academy for Natural Sciences, Moscow, Russia)
- Prof. Alexander Verbovetsky (Moscow State Technical University and the Diffiety Institute of the Russian Academy for Natural Sciences, Moscow, Russia)
*Homological Methods in Equations of Mathematical Physics*

- Prof. Demeter Krupka (Mathematical Institute, Silesian University at Opava, Bezručovo nám. 13, 74601 Opava, Czech Republic)

**2nd International Summer School in Global Analysis and Applications****Location:**August 1997, Levoča, Slovakia **Organized by:**Mathematical Institute, Silesian University, Opava, Czech republic **Lectures:**- Prof. Demeter Krupka (Mathematical Institute, Silesian University at Opava, Bezručovo nám. 13, 74601 Opava, Czech Republic)
*Geometry of Lagrange Structures*

- Prof. Demeter Krupka (Mathematical Institute, Silesian University at Opava, Bezručovo nám. 13, 74601 Opava, Czech Republic)

**1st International Summer School in Global Analysis and Applications****Location:**August 1996, Levoča, Slovakia **Organized by:**Mathematical Institute, Silesian University, Opava, Czech republic **Lectures:**- Prof. Demeter Krupka (Mathematical Institute, Silesian University at Opava, Bezručovo nám. 13, 74601 Opava, Czech Republic)
*Variational Sequences*

- Prof. Demeter Krupka (Mathematical Institute, Silesian University at Opava, Bezručovo nám. 13, 74601 Opava, Czech Republic)