Full Description
This volume collects papers based on lectures given at the XLII Workshop on Geometric Methods in Physics, held in Białystok, Poland in June-July 2025. These chapters provide readers an overview of cutting-edge research in quantum field theories, infinite-dimensional groups, integrable systems, noncommutative geometry, and a wide variety of other areas. Specific topics include:
Twisted Araki-Woods Algebras
Monoidal actions in Lie-algebraic context
Introductory course to quantum formalism in low dimensions
Gelfand triplets in Quantum Mechanics
Riemann Hypothesis in terms of the continuous Newton flow
Geometric Methods in Physics XLII are a valuable resource for mathematicians and physicists interested in recent developments at the intersection of these areas.
Contents
Address of the Chairman of the Wigner Medal Board at the Wigner Medal Ceremony 2025.- Wigner Medal 2024.- Laudatio for Professor S.L. Woronowicz Recipient of the Wigner Medal 2024.- Arno Bohm: Main Scientific Contributions.- On the use of Gelfand triplets in Quantum Mechanics.- The "No U-Turn Rule" in the Riemann Hypothesis.- Topological Feynman integrals and the odd graph complex.- Electromagnetic field from affine symmetry of punctured plane.- Variational principles in physics (how to use them and how not to use).- On the electron spin origin, its Hamiltonian operator and the related SU(2) x SU(2)-symmetry structure.- Affine symplectic structures in gauge systems .
