GEOMETRY AND DYNAMICS

Session

Fryday 16

16 Jan 2026, 09:30

Aula Magna (Sede delle Accademie Napoletane)

19. TBA

Juan Manuel Perez-Pardo

16/01/2026, 10:00

Talk

4. Look: it's GNS Hilbert spaces everywhere! Information geometry via the GNS construction

Florio Maria Ciaglia

16/01/2026, 10:30

Talk

Abstract:
Many of the standard Riemannian structures in information geometry arise from a single source: the Hilbert space provided by the Gelfand-Naimark-Segal (GNS) construction for states on a C*-algebra. I will explain how the Fisher-Rao metric (classical models), the Fubini-Study/quantum geometric tensor (pure quantum states), and the Bures-Helstrom metric (faithful quantum states in...

22. Exceptional Points Manifolds in Quantum Open Systems

Mario Salerno

16/01/2026, 11:30

Talk

Abstract:
We study Liouvillian exceptional points (LEPs) of quantum open systems, focusing on their emergence and structure in both continuous Lindbladian dynamics and discrete-time quantum circuits. Using an analytically solvable two-qubit model, we characterize LEPs manifolds and the associated bifurcations in parameter space. We show that LEPs persist in discrete brickwork completely...

11. Elementary particles on curved space-times

Alberto Ibort

16/01/2026, 12:00

Talk

Abstract:
A symmetry based notion of elementary particles on curved space-times is presented where the Poincaré group of Minkowski space-time is replaced by a canonical groupoid. The irreducible projective representations of such groupoid, called the Wigner groupoid of the given space-time, provide a natural notion of elementary particles valid on any space-time. The computation of such...