•  
•  Grant: 7AMB15AT035
  from 01/01/2015  to  31/12/2016
  Grantor: Ministry of Education, Youth and Sports - MŠMT
• Topics in set theory: Traces of large cardinals, variants of Hechler's theorem, and ultrafilters on countable sets
•  
• Objectives:
  The goal of the project is to expand the collaboration between specialists working in different areas of Set Theory. We shall, in particular, try to exploit the complementary expertise of the Czech and Austrian teams while solving problems on the borders of traditional areas of research (large cardinals, forcing, infinitary combinatorics, topology) and encourage mutual cross-fertilization and inspiration sharing. The main goal is to encourage new members of both Czech and Austrian research teams to interact in join international research, to explore new possibilities for scientific collaboration, and to introduce international contacts enabling applications for funding with more ambitious join projects in future years.
• 
•  
•  Grant: MUSIC(LH13012)
  from 01/03/2013  to  31/12/2015
  Grantor: Ministry of Education, Youth and Sports - MŠMT
• Multilevel supervisory control
•  
• Programme type:  KONTAKT II
  
  Objectives:
  The aim of the project is to develop techniques to decrease computational complexity of supervisory control of discrete-event systems with large number of states. Both automata with known modular structure given by the synchronous product of smaller components and large automata without such a structure will be considered. Standard centralized control methods cannot be applied for complexity reasons, and therefore, we will propose multi-level coordination control with hierarchical structure of the coordinators on different layers for different groups of subsystems. It will be based on the single-level coordination control with one central coordinator that we have recently developed. These efficient techniques will be applied to decentralized control of systems without known modular structure. As a by-product communication protocols between groups of subsystems given by the structure of coordinators on different levels of hierarchy will be obtained.
• 
•  
•  Grant: M100191201
  from 01/07/2012  to  30/06/2015
  Grantor: Academy of Sciences of the Czech Republic
• Algebraic classification of tensors on Lorentzian manifolds and its applications
•  
• Objectives:
  We will  search for exact vacuum solutions of generalized theories of gravity using the algebraic classification of tensors and the generalization of the Geroch-Held-Penrose formalism to higher dimensions co-developed by our department. Particular focus is on so called universal solutions –  vacuum solutions to all theories of gravity derived from the Lagrangian constructed from the metric, the Riemann tensor and its arbitrary covariant derivatives. Another objective is to develop a refinement of the algebraic classifications of tensors in five dimensions.
• 
•  
•  Grant: 7AMB12FR003
  from 01/01/2012  to  31/12/2013
  Grantor: Ministry of Education, Youth and Sports - MŠMT
• Non-linear analysis in Banach spaces
•  
• Programme type: MOBILITY - France
  
  Objectives:
  The goal of this project is to contribute to a better understanding of the following topics:
  
  
• 

•  
•  Grant: MEB091101
  from 01/01/2011  to  31/12/2012
  Grantor: Ministry of Education, Youth and Sports - MŠMT
• Spectral theory of linear operators and reflexivity
•  
• Programme type: MOBILITY - Slovenia
  
  Objectives:
  Research in the field of spectral theory of linear operators.
• 
•  
•  Grant: MEB021108
  from 01/01/2011  to  31/12/2012
  Grantor: Ministry of Education, Youth and Sports - MŠMT
• Holomorphic function spaces and their operators
•  
• Programme type: MOBILITY - France
  
  Objectives:
  Study of holomorphic functions spaces and related operators (Toeplitz, Hankel, Bergman projection, etc.) and their interplay with the Berezin transform. Where appropriate, extensions to spaces of harmonic functions may also be investigated.
• 
•  
•  Grant: MEB0810045
  from 01/01/2010  to  31/12/2011
  Grantor: Ministry of Education, Youth and Sports - MŠMT
• Unilateral dynamic contact problems for thin structures
•  
• Programme type: MOBILITY - Slovakia
  
  Objectives:
  To prove solvability of dynamic contact problems for different models (e.g. Reisne-Mindlin etc.) of plates and shells. Publication of results in the form of scientific papers and then in a monograph about the topic.
• 
•  
•  Grant: MEB051006
  from 01/01/2010  to  31/12/2011
  Grantor: Ministry of Education, Youth and Sports - MŠMT
• Set theory and its applications
•  
• Programme type: MOBILITY - Polsko
  
  Objectives:
  Cooperation in the subject of descriptive set theory and forcing. Finishing the book "Ideals and Equivalences", coothored by Jindřich Zapletal and Marcin Sabok. Organizing bilateral conferences in Prague and Hejnice on the subject of infinite games, set theory, and forcing. Lectures of Jindřich Zapletal at the Institute of Mathematics in Wroclaw.
• 
•  
•  Grant: MEB021024
  from 01/01/2010  to  31/12/2011
  Grantor: Ministry of Education, Youth and Sports - MŠMT
• Variational inequalities in equilibrial optimization
•  
• Programme type: MOBILITY - France
  
  Objectives:
  Development of tools of variational analysis suitable for study of local properties of solutions of variational inequalities.
  Analysis of the stability and sensibility of multi-valued mappings which assign suitable sets of solutions to the data of problems or to perturbing parameters.
  Application of obtained results on selected equilibrial problems of continuum mechanics and of mathematical economy.
• 
•  
•  Grant: MEB060909
  from 01/01/2009  to  31/12/2010
  Grantor: Ministry of Education, Youth and Sports - MŠMT
• Set theory and its applications
•  
• Programme type: MOBILITY - Austria
  
  Objectives:
  Exploring the interaction between set theory on one hand, and abstract analysis and combinatorics on the the other.
• 
•  
•  Grant: MEB090905
  from 01/01/2009  to  31/12/2010
  Grantor: Ministry of Education, Youth and Sports - MŠMT
• Spectral theory of linear operators and reflexivity
•  
• Programme type: MOBILITY
  
  Objectives:
  Study of questions of spectral theory of linear operators concerning the reflexivity.
• 

last update: 05/06/2015

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