Program

Olga Rossi Commemorative Meeting

Monday 22 August will be dedicated to scientific and commemorative talks in honor of Professor Olga Rossi. The meeting is organized by LRI and VSB-Technical University of Ostrava, in close collaboration with the University of Ostrava. If you are interested to participate and/or to give a talk, please let us know.

Location:  VSB-Technical University of Ostrava, Main University Auditorium (UA), UA4-UA5 (Entrance from the street 17. listopadu)

Program of talks: PDF (tentative)

Fee:   There is no conference fee

Further details:  If you require assistance with transportation, accommodation, or have other questions, please, do not hesitate to contact us.

Contact:  Olga Krupkova (olga.krupkova@gmail.com)

Main Lectures - Monday 22. afternoon till Friday 26.

A) Variational Geometry: General Relativity (D. Krupka)

     Geometric foundations of the variational formulation of modern gravity theory (J. Kijowski)

B) Geometric Mechanics and Control Theory (D. Zenkov, D. Shi)


Variational geometry: General relativity (D. Krupka)

  • 1.  Variational structures
  • 2.  Differential invariants: metric fields, connections
  • 3.  Natural variational principles
  • 4.  Variational principles: General relativity
  • 5.  Energy-momentum tensors: Discussion

Geometric foundations of the variational formulation of modern gravity theory (J. Kijowski)

  • 1.  Variational principle in field theory and its interpretation as a symplectic relation.
    • Here I am going to discuss several prejudices, which are often encountered especially in courses in theoretical physics, when variational principles are formulated. Finally, the consistent, geometric structure carried by a variational principle will be formulated.
  • 2.  Theory of curvature on a manifold. Geometric formulation of the original Newton's first law.
    • Here, I will show how the Newton's first law (supported by the Einstein's locality principle) implies the geometric structure of spacetime.
  • 3.  Higher order curvature tensors and ``covariant jets of a connection''.
    • Here, I will generalize theory of curvature to higher order structures.
  • 4.  Variational principles in General Relaticity Theory.
    • Here, I will show relation between different variational (i.e.: metric, metric-affine, Palatini and, finally, purely affine) formulations of gravity theory.

Geometric Mechanics and Control (D. Zenkov)

  • 1.  Lagrangian and Hamiltonian mechanics, structure-preserving properties.
  • 2.  Canonical transformations and the optical-mechanical analogue.
  • 3.  Mechanics on Lie groups and dynamics of rigid bodies.
  • 4.  Introduction to discrete mechanics and variational integrators.

Workshop

For interested participants we expect to have 2 afternoons available for shorter 30 min. presentations devoted to recent research results. These will be selected by organizers in advance. Moreover, we expect to have a poster session for other participants. 

J. Gao • Normal Structure, Some Geometric Constants and Fix Points for Non-Expansive Mappings in Banach Spaces.

K. Marathe • What is physical mathematics?

D. Saunders • Linearizing connections – the jet approach.

S. Singh • Multiscale modelling and Geometry mechanics of human carotid artery.

Social program

On Wednesday 24., we offer two kinds of trips, either Hradec nad Moravici Castle and the historical City of Opava, or the Mining Museum in the Landek Park.

On Friday 26. evening, a conference dinner will take place in the Zabreh Chateau restaurant.


Partners & Cooperations