Multivariate P- and Q-polynomial association schemes, talk by Eiichi Bannai
The talk aims to review the progress in the study of higher rank P-and Q-polynomial association schemes, starting with the foundational concepts and recent advancements as outlined in the referenced papers. It will provide explicit examples of multivariate P-and Q-polynomial association schemes and explore the implications of these developments. The discussion will draw from multiple sources, including recent significant contributions by Bernard et al. and Crampé et al., and will conclude with speculations on future directions for research in this area.
This talk is based on the two joint papers with Hirotake Kurihara (Yamaguchi University), Da Zhao (East China University of Science and Technology) and Yan Zhu (Shanghai University for Science and Technology).
The Specht property for varieties of Zn-graded Lie algebras, talk by Daniela Martinez Correa
A seminar talk by Daniela Martinez Correa, Faculty of Mathematics and Informatics, Sofia University “St. Kliment Ohridski”
Ellipsoid superpotentials: obstructing symplectic embeddings by singular algebraic curves, a talk by Grigory Mikhalkin
How singular can be a local branch of a plane algebraic curve of a given degree d? A remarkable series of real algebraic curves was constructed by Stepan Orevkov. It is based on even-indexed numbers in the Fibonacci series: a degree 5 curve with a 13/2 cusp, a degree 13 curve with a 34/5-cusp, and so on. We discuss this and other series of algebraic curves in the context of the problem of symplectic packing of an ellipsoid into a ball...
Dynamical zeta function for billiard flow, colloquium talk by Vesselin Petkov
Vesselin Petkov is a professor emeritus ат the University of Bordeaux who has made important contributions to hyperbolic partial differential equations, spectral and scattering theory and dynamical systems.
The Cox ring perspective in birational geometry, talk by Morgan Brown
A seminar talk by Morgan Brown, University of Miami.
Quantum circuit complexity for light polarisation or complexity with no complex number, talk by Jean-Pierre Gazeau
I will present a form of quantum circuit complexity that extends to open systems. To illustrate the methodology, I focus on a basic model where the Hilbert space of states is represented by the Euclidean plane. Specifically, the investigation is about the dynamics of mixed quantum states as they undergo interactions with a sequence of gates.
