Geometric Methods in Physics XLII
Description
This volume collects papers based on lectures given at the XLII Workshop on Geometric Methods in Physics, held in Bialystok, 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.
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Persons
Content
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) × SU(2)-symmetry structure.- Affine symplectic structures in gauge systems .