The program of the school includes series of main lectures, workshop and poster session. The following programme is tentative and it will be updated regularly.
Courses
Series of lectures, devoted to the foundations, includes:
Salvatore Capozziello - Mathematical Foundations of Metric-Affine Theories of Gravity
Demeter Krupka - The Variational Foundations of General Relativity Theory (PDF Abstract)
A research monograph on mathematical foundations of general relativity theory, including the series of lectures (Capozziello, Krupka), is planned for publishing by Atlantis Press scientific publisher.
Workshop
The goal is to present recent results in mathematics and general relativity theory, its extensions, and applications. Presentations of posters are also possible. The concrete workshop program of oral contributions will be scheduled with respect to the number of registered talks.
An issue of the International Journal of Geometric Methods in Modern Physics (World Scientific), including contributions presented at the summer school, will be published under standard review process.
The book of extended abstracts including courses lectures, workshop contributions and posters will be published before the school and also, after possible extension, after the school. Please send a LaTeX file of an extended abstract to milan.demko@unipo.sk not later than 1 August 2015 (see the sample PDF / TeX ).
Plenary lectures
Vladimir Chernov: Linking, causality and smooth structures on spacetimes (PDF Abstract)
Marco Ferraris: On the variational structure of Einstein’s equations
Jerzy Kijowski: Universality of Einstein theory of gravitation
Marcella Palese: Invariant variational problems and cohomology (PDF Abstract)
Istvan Racz: The many faces of the constraints in general relativity (PDF Abstract)
Miguel Sánchez: Some links between Lorentzian and Finslerian geometries (PDF Abstract)
Gennady Sardanashvily: Gauge gravitation theory. Gravity as a Higgs field (PDF Abstract)
Nicoleta Voicu: Energy-momentum tensor and variational completion (PDF Abstract)
Communications
Rosalio Artes: Uncertainty Principle in Reproducing Kernel Hilbert Spaces
Andrzej Borowiec: Palatini cosmological models: dynamical system approach
Francisco Bulnes: Integral Geometry Methods on Derived Categories and their Moduli Stacks in the Space-Time (PDF Abstract)
Rogerio Cavalcanti: The McVittie black string-like with variable brane tension (Poster)
David Devadze: Some Numerical Algorithms for Solving Optimal Control Problems for Differential Equations with Nonlocal Boundary Conditions
Krzysztof Drachal: On Schmidt's b-boundary in the category of differential spaces
Zdenek Dusek: Differential Invariants
Naiereh Elyasi: Super Lie algebroids and their applications in general relativity
Cristian Erices: Massless scalar field stationary solutions
Gabor Etesi: Exotica or the failure of the strong cosmic censorship in four dimensions (PDF Abstract)
Maman Fathurrohman: Mathematical Study of Orbital Moving Objects
Franco Fiorini: Some regular states in Born-Infeld gravity
Artur Giżycki: Groupoids and symmetry
Graham Hall, Bahar Kirik: Holonomy theory and recurrence of tensors on 4-dimensional manifolds
Iulia Hirica: Evolution of Kahler-Riemann type flows
Márton Horváth: Harmonic manifolds and the volume of tubes about curves (Poster)
Eyo Ita: Intrinsic Time Quantum Geometrodynamics
Hassan Jolany: Kahler Ricci flow and General Relativity
Igor Khavkine: A polynomial action for gravity with matter, gauge fixing and ghosts
Giorgi Khimshiashvili: Loop groups and generalized Ernst equation
Artur Kuleshov: On intrinsical clothing of three-regular family of hyperplane elements in projective space
Rakesh Kumar: Characterization of holomorphic sectional curvature of GCR-lightlike submanifold of an indefinite nearly Kaehler manifold
Miroslav Kureš: Toupin subgroups of jet groups and symmetry
Robert Lompay: Covariant Conservation Laws in Metric-Torsion Theories of Gravitation
Vahid Mohebbi: Equilibrium Problems
Stepan Moskaliuk: Category of Noncommutative Einstein Spaces
Herlina Napitupulu: Global Optimization using Filled Function Method (Poster)
Mohamed Nehari: Existence of Solutions for a Quasilinear Elliptic Equation with Nonlocal Boundary Conditions on Time Scales (poster)
Kenneth Nordtvedt: Obtaining General Relativity's N-body Lagrangian to all orders by iterative linear algebraic equations
Jorge Ovalle: Beyond Einstein Gravity: the Geometric Deformation
Jafar Sadeghi: Very special relativity and algebra
Ciprian Sporea: Scattering of massive fermions on Schwarzschild black holes
Dávid Szeghy: Differentiability of horizons
Kamel Tahri: Multiplicity Result of Fourth Order Equation on Compact Riemannian Manifold (Poster)
Zbynek Urban: Metrizable and Invariant Connections
Dimitri Vey: Advanced multisymplectic formulation of vierbein gravity
Ekkehart Winterroth, Marcella Palese: Topological obstructions in Lagrangian field theories (with an application to Chern-Simons gauge theories)
Anera Wojnar: Lie methods for solving the classical solutions of the field equations in Bianchi scalar field cosmology and Wheeler-DeWitt equation
Faen Wu: Clasfication of quadratic harmonic map of 7-sphere into itself
Social events
On Wednesday 19., we offer two kinds of trips, either Spis Castle and Town of Levoca, or the Tatra mountains hike to Hrebienok and its surroundings. For the details, see PDF.
On Thursday 20. evening, a conference dinner (barbecue) will take place near the summer school venue in Stara Lesna.
