Centenary of the General Theory of Relativity
Symposium organiser: Larry Gould
PANEL discussion: Exploring Connections between Relativity and the Arts
Panel organiser and moderator: Larry Gould
(with invatied participants in the panel)
Invariances in Non-Euclidean Geometries Applied to Physics
Session organiser: Emil Molnár
Albert Einstein’s ingenious discovery (with the contribution of a series of mathematicians, including D. Hilbert) completed the process that led from the visual concept of space to the geometrization of space-time, and more general, to geometrization of physics. This was the first theory that applied a non-Euclidean geometry in science. Thus, from the meditations of C. F. Gauss and others, through the deep works of J. Bolyai and N. I. Lobachevsky, then B. Riemann, E. Beltrami, F. Klein, S. Lie, H. Poincaré, H. Minkowski, P. Finsler and many others we arrived to different non-Euclidean geometries and their applications in describing our scientific world. The process has not been finished yet. Emmy Noether’s theorems on the symmetries of invariant quantities (developed further by H. Weyl and É. Cartan), then relativistic quantum theories of our micro world, and so on to more practical discoveries, offer us fruitful discussions and friendly conversations during the Festival.
Polyhedral Symmetries
Session organizer: Egon Schulte
Discrete geometry (in a broad sense) deals with discrete structures in geometry and combinatorics such as polyhedra, polytopes, maps, tessellations (tilings), complexes and graphs, efficient sphere arrangements, packing and covering arrangements, and lattices. The goal of the session is to focus on aspects of polyhedral symmetry in the analysis and classification of these structures, and to discuss applications in the sciences and the arts.
Symmetry and the Arts
Session organiser: Douglas Dunham
This session will consider the relations between the arts and symmetry. An important emphasis will be on the study of the mathematical symmetries of artistic entities. Thus the topics to be treated will be at the intersection of math, art, and symmetry.
Sacred Geometry and Symmetry Patterns in Prehistory and Antiquity
Session organiser: Ruslan Kostov
Music and Symmetry
Session organisers: K. Zenkin, S. Petoukhov and D. Banney
The aim of the session is to bring together musicians, computer scientists, mathematicians, biologists and other specialists to develop theoretical and practical tasks in the field of musical culture using achievements of theory of symmetry and its applications. Methods and achievements of computer sciences and symmetrology give many new approaches and opportunities to enhance social and cultural influences of music including the field of musical therapy. These new possibilities together with historical data from the field of musical culture should be considered in the session. A concert of genetic music is planned to be organized in the frame of the Festival.
Symmetry in Education
Session organiser: Kristóf Fenyvesi
Symmetry and Information in Biological Systems, including Studies on the Genetic Code
Session organiser: Tidjani Négadi
The session aims at bringing together researchers from diverse disciplines (mathematics, physics, chemistry, biology), from various countries, with a common interest in biological problems connected with Symmetry and Information. The former being the beloved “raison de vivre” and the valued mathematical tool of the symmetrist’s community, worldwide, and the latter is expected to be the new paradigm in physics as well as in biology. The session includes, and welcomes, also, new studies on the Genetic Code with possible connections, why not, to Symmetry and Information.
Symmetry and Asymmetry Phenomena in Chemical, Green, and Related Sciences
Session organisers: Victor Borovkov and Nicholas Gathergood
Symmetry and asymmetry phenomena play a vital role in our life, nature, and various sciences. The aim of this session is to highlight the importance of these issues and discuss the latest major advances in the chemical, green, and related fields. The broad and interdisciplinary topics of the session program are expected to be of profound interest to participants researching in these particular areas and to the general audience of the Symmetry Festival.
Symmetries in Crystallography and in Nanostructures
Session organiser: Nóra Veronika May
The basic notions of symmetrology were elaborated in nineteenth-century crystallography. Such notions were then borrowed, first by physics and then by the other disciplines. Crystallography, even now, plays a pioneering role in symmetry studies. A special session will be dedicated to crystallography having lectures and poster exhibition.
Symmetry in Literature
Session organiser: Tatiana Bonch-Osmolovskaya
Science and art in Japanese geometry
Wasan, Arbelos, Sangaku – Symmetries in Traditional Japanese Geometry
Session organiser: Hiroshi Okumura
Origami and Symmetry
Session organiser: Mariann Villányi
The aim of this session is to reflect certain new achievements related to any form of the appearance of symmetry in the composition and the technic of folding. There are appreciated approaches, which deal with less conventional appearances of symmetry (e.g., other than simple reflection, translation, rotation) and with combined forms of symmetry (e.g., golden section, etc.). New technological, architectural, nano-physical (e.g., graphene), micro-surgical/medical etc. applications are welcome. There are welcome papers by scholars who deal with the development and/or application of latter kind origami-based folding technologies. The session will be accompanied by an on-spot origami exhibition, class-room workshops, and public origami workshops at the Family Day.
Workshop on Computational Origami and Applications (COA)
Session organisers: Tetsuo Ida and Laura Kovacs
Symmetry comes into play naturally in origami due to the very nature of paper fold. From this intuition one may explore many kinds of geometrical properties including symmetry, leading into fantastic arts on the one hand and various fields of engineering on the other.
In our COA: Computational Origami and Applications workshop we would like to discuss the foundations of origami and its link to various applications. The foundational study of origami entails mathematical analysis, and its applications obviously need to employ the state-of-the-art computing technology.
Symmetry and Asymmetry in Humanities, Perception, and in Human Brain Hemispheres