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10 888 (0,13s) •

Project

Poisson-Lie T - plurality of conformally invariant sigma models (GA202/06/1480)

The authors of proposed project intend to extend the list of  known three-dimensional conformal sigma models and investigate their properties. A possible method dualizable sigma models. This represents a search for eight-di...

BE - Teoretická fyzika

  • 2006 - 2008
    • •
  • 581 tis. Kč
    • •
  • 581 tis. Kč
    • •
  • GA ČR
Project

Geometric structures, differential operators and symmetries (GA19-06357S)

by the notion of symmetries. This leads to the concept of invariant differential operators (and related invariant systems of PDEs) compatible with the geometry. An example is the Laplace operator with its conformally i...

Pure mathematics

  • 2019 - 2022
    • •
  • 6 028 tis. Kč
    • •
  • 5 761 tis. Kč
    • •
  • GA ČR
Project

Geometric structures, invariance and differential equations related to mathematical physics (GA22-00091S)

of symmetries. This leads to the concept of invariant differential operators and related invariant systems of (P)DEs (compatible with the geometry). An example is the Laplace operator with its conformally invariant

Pure mathematics

  • 2022 - 2024
    • •
  • 6 629 tis. Kč
    • •
  • 6 559 tis. Kč
    • •
  • GA ČR
Project

Invariant differential operators and ambient metric construction (GP201/06/P267)

There are three main goals of the project. The first one is generalization of the method of ambient metric construction of Fefferman and Graham and construction of conformally invariant differential operators by means of it. The sec...

BA - Obecná matematika

  • 2006 - 2008
    • •
  • 606 tis. Kč
    • •
  • 606 tis. Kč
    • •
  • GA ČR
Project

The properties of solutions of invariant PDE´s on manifolds (GA201/00/P070)

conformally invariant operators, for example Dirac, Rarita-Schwinger, antwistor operatorsDuring last years, the properties of invariant differential operators in the framework of parabolic geometries on manifolds have been...

BA - Obecná matematika

  • 2000 - 2002
    • •
  • 673 tis. Kč
    • •
  • 673 tis. Kč
    • •
  • GA ČR
Project

Fourier methods of special functions of affine Weyl groups (GA19-19535S)

in conformal field theory and eigenvibrations methods of Weyl group invariant lattices formulation of the results, illustrating them on model examples. Such an explicit......

Particles and field physics

  • 2019 - 2023
    • •
  • 2 693 tis. Kč
    • •
  • 1 847 tis. Kč
    • •
  • GA ČR
Project

Symmetry and invariance in analysis, geometric modelling and control theory (GA20-11473S)

The most important differential operators in mathematical models enjoy big groups of symmetries, which is equivalent to their invariance with respect algebras, Cartan geometries, and the recently developed invariant calculi...

Pure mathematics

  • 2020 - 2023
    • •
  • 8 136 tis. Kč
    • •
  • 8 136 tis. Kč
    • •
  • GA ČR
Project

Symmetries in string theory and conformal field theory (GA17-22899S)

-invariant interactions in this phase. Another goal is to use insights from string field theory and conformal field theory to address fundamental symmetries and universal......

BE - Teoretická fyzika

  • 2017 - 2019
    • •
  • 9 325 tis. Kč
    • •
  • 8 701 tis. Kč
    • •
  • GA ČR
Project

Inverse problems in image processing (GA21-03921S)

in the digital image analysis pipeline. We consider three image acquisition models as a group action and then quantitative characteristics of group orbits define invariants to the group action. The invariants are estimated...

Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

  • 2021 - 2024
    • •
  • 15 392 tis. Kč
    • •
  • 11 057 tis. Kč
    • •
  • GA ČR
Project

Impact of enhanced greenhouse effect on characteristic invariants of climatic attractor (GA205/98/P140)

on characteristic invariants (fractal dimension, Kolmogorov entropy, etc.) of climate attractor model of general circulation of the earth atmosphere. The research includes verification of the ability of the model to descri...

DG - Vědy o atmosféře, meteorologie

  • 1998 - 2000
    • •
  • 506 tis. Kč
    • •
  • 456 tis. Kč
    • •
  • GA ČR
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