Description
This volume collects papers based on lectures given at the XLII Workshop on Geometric Methods in Physics, held in Bialystok, Poland in 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:
- Gelfand triplets
- Topological Feynman integrals
- The Dirac-Weyl equation
- Precotangent bundles
Geometric Methods in Physics XLII are a valuable resource for mathematicians and physicists interested in recent developments at the intersection of these areas.
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 .
