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Intro; Dedication to Bertram Kostant; Preface; Acknowledgments; Organization of the volume; Committees; Contents; Part I Laudatios: Wigner Medal and Weyl Prize; Laudatio of Bertram Kostant; Reflecting on mathematics and mathematical physics; Laudatio of Vasily Pestun; Part II Plenary invited articles; Phenomenology of neutrinos and macroscopic bodies in non-commutative spacetime; 1 Introduction; 2 Neutrino phenomenology; 3 On the description of macroscopic bodies in anon-commutative spacetime; 3.1 Soccer-ball problem and sum of momenta from locality
3.2 Sum of momenta from translational invariance4 Outlook; References; The dynamical evolution in quantum physics and its semi-group; 1 Time symmetric quantum theory; 2 Dynamical equations of states and observables; 3 Meaning of states Ï#x81; or Ï#x86;+, and of observable A or Ï#x88;â#x80;¾; 4 Theoretical description of states and observables; 4.1 Born probabilities; 4.2 Solutions of the dynamical equations and their boundary conditions; 4.3 New Hardy space boundary conditions; References; Algebraic structures on the moduli spaces in gauge theories; 1 Introduction; 2 The structures of 4d N = 2 theories
2.1 Vacua sector = complex algebraic integrable system2.2 Holomorphic factorization; 3 Quantum algebras; 3.1 Quantum algebras: CFT type; 3.2 Quantum algebras: generic proposition; 3.3 Quantum algebras: lattice model type; References; Statistical mechanics for complex systems: On the structure of q-triplets; 1 Introduction; 2 q-triplets; 3 Connections between q-indices; 4 Some final remarks; References; Unconventional supersymmetry: Local SUSY without SUGRA; Further reading and References; Part III Articles
Analysis of the production of exotic bottomonium-like resonances via heavy-meson effective theory1 Introduction; 2 Formalism; 3 Results; References; An alternative construction for the Type-II defect matrix for the sshG; 1 Introduction; 2 Type-I and Type II defect formulation; References; Generalized supersymmetry and the Lévy-Leblond equation; 1 Introduction; 2 LLE and its (super)symmetries; 3 The Z2Ã#x97;Z2 graded symmetry of LLE; References; Investigating the effect of cognitive stress on cardiorespiratory synchronization; 1 Introduction; 2 Data; 3 Methods; 4 Results; 5 Conclusion; References
Generalization of conserved charges for Toda models1 Introduction; 2 Dressing method; 2.1 Conserved charges for Toda model sl(3); 2.2 Conserved charges for Toda model sl(N); 3 Conclusion; References; On supersymmetric eigenvectors of the 5D discrete Fourier transform; References; Remarks on Berezin quantization on the Siegel-Jacobi ball; 1 Introduction; 2 Coherent states, Berezin quantization, and balanced metric; 3 Balanced metric on the Siegel-Jacobi ball; 4 Quantization of the Siegel-Jacobi ball; References
3.2 Sum of momenta from translational invariance4 Outlook; References; The dynamical evolution in quantum physics and its semi-group; 1 Time symmetric quantum theory; 2 Dynamical equations of states and observables; 3 Meaning of states Ï#x81; or Ï#x86;+, and of observable A or Ï#x88;â#x80;¾; 4 Theoretical description of states and observables; 4.1 Born probabilities; 4.2 Solutions of the dynamical equations and their boundary conditions; 4.3 New Hardy space boundary conditions; References; Algebraic structures on the moduli spaces in gauge theories; 1 Introduction; 2 The structures of 4d N = 2 theories
2.1 Vacua sector = complex algebraic integrable system2.2 Holomorphic factorization; 3 Quantum algebras; 3.1 Quantum algebras: CFT type; 3.2 Quantum algebras: generic proposition; 3.3 Quantum algebras: lattice model type; References; Statistical mechanics for complex systems: On the structure of q-triplets; 1 Introduction; 2 q-triplets; 3 Connections between q-indices; 4 Some final remarks; References; Unconventional supersymmetry: Local SUSY without SUGRA; Further reading and References; Part III Articles
Analysis of the production of exotic bottomonium-like resonances via heavy-meson effective theory1 Introduction; 2 Formalism; 3 Results; References; An alternative construction for the Type-II defect matrix for the sshG; 1 Introduction; 2 Type-I and Type II defect formulation; References; Generalized supersymmetry and the Lévy-Leblond equation; 1 Introduction; 2 LLE and its (super)symmetries; 3 The Z2Ã#x97;Z2 graded symmetry of LLE; References; Investigating the effect of cognitive stress on cardiorespiratory synchronization; 1 Introduction; 2 Data; 3 Methods; 4 Results; 5 Conclusion; References
Generalization of conserved charges for Toda models1 Introduction; 2 Dressing method; 2.1 Conserved charges for Toda model sl(3); 2.2 Conserved charges for Toda model sl(N); 3 Conclusion; References; On supersymmetric eigenvectors of the 5D discrete Fourier transform; References; Remarks on Berezin quantization on the Siegel-Jacobi ball; 1 Introduction; 2 Coherent states, Berezin quantization, and balanced metric; 3 Balanced metric on the Siegel-Jacobi ball; 4 Quantization of the Siegel-Jacobi ball; References