40) Title: Symmetry, Tensors, and Models in Modern Mathematics, Cosmology, and Astrophysics

Organizer: Pierros Ntelis, Harbin Institute of Technology, School of Physics, China and Institute of Theoretical Physics, at National University of Uzbekinstan

Email: ntelis.pierros@gmail.com

This symposium focuses on the foundational and frontier roles of symmetry principles, tensor structures, and mathematical models in advancing modern mathematics, cosmology, and astrophysics. Contributions are invited across three interconnected themes:
(1) the application of established symmetries and tensors (including advanced manifold–metric pairs) to contemporary cosmological and astrophysical models;
(2) the development of innovative models that leverage standard and extended tensor frameworks, fractional calculus, and manifold–metric pairs toward potential unification of existing theories; and
(3) the construction of novel or modified symmetry principles and tensor architectures—such as broken symmetries, non-standard symmetries, generalized tensors, fractional calculus, or advanced manifold–metric formulations—and exploration of their mathematical, cosmological, and astrophysical implications. The symposium aims to bridge theoretical innovation with observational application, fostering interdisciplinary dialogue between mathematicians, cosmologists, and astrophysicists.

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